CRAN Package Check Results for Package fsemipar

Last updated on 2023-12-06 00:58:13 CET.

Flavor Version Tinstall Tcheck Ttotal Status Flags
r-devel-linux-x86_64-debian-clang 1.0 16.14 128.37 144.51 NOTE
r-devel-linux-x86_64-debian-gcc 1.0 13.14 96.92 110.06 NOTE
r-devel-linux-x86_64-fedora-clang 1.0 190.25 NOTE
r-devel-linux-x86_64-fedora-gcc 1.0 181.38 NOTE
r-devel-windows-x86_64 1.0 14.00 119.00 133.00 NOTE
r-patched-linux-x86_64 1.0 16.50 124.07 140.57 OK
r-release-linux-x86_64 1.0 12.95 126.30 139.25 OK
r-release-macos-arm64 1.0 54.00 OK
r-release-macos-x86_64 1.0 91.00 OK
r-release-windows-x86_64 1.0 19.00 143.00 162.00 OK
r-oldrel-macos-arm64 1.0 53.00 ERROR
r-oldrel-macos-x86_64 1.0 83.00 ERROR
r-oldrel-windows-x86_64 1.0 19.00 144.00 163.00 OK

Check Details

Version: 1.0
Check: Rd contents
Result: NOTE Argument items with no description in Rd file 'plot.classes.Rd': ‘\dots’ Argument items with no description in Rd file 'predict.fsim.Rd': ‘\dots’ Argument items with no description in Rd file 'predict.lm.Rd': ‘\dots’ Argument items with no description in Rd file 'predict.sfpl.Rd': ‘\dots’ Argument items with no description in Rd file 'predict.sfplsim.FASSMR.Rd': ‘\dots’ Argument items with no description in Rd file 'print.summary.mfplsim.Rd': ‘\dots’ Flavors: r-devel-linux-x86_64-debian-clang, r-devel-linux-x86_64-debian-gcc, r-devel-linux-x86_64-fedora-clang, r-devel-linux-x86_64-fedora-gcc, r-devel-windows-x86_64

Version: 1.0
Check: PDF version of manual
Result: WARN LaTeX errors when creating PDF version. This typically indicates Rd problems. LaTeX errors found: ! Undefined control sequence. <recently read> \pmb l.273 ...(\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.287 }{} ! Undefined control sequence. <argument> ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.287 }{} ! Undefined control sequence. <argument> t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.288 ...{\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. <argument> z\in \mathbb {R} l.288 ...ger not less than \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.290 ...onging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. <argument> ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.293 }{} ! Undefined control sequence. <argument> ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\... l.293 }{} ! Undefined control sequence. <argument> ...1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\left <\theta _... l.293 }{} ! Undefined control sequence. <argument> ...b {1}}\left (\left <\theta _0^{\pmb {1}},\mathcal {X}_i\right ... l.293 }{} ! Undefined control sequence. <argument> ...ight >\right )+\varepsilon _i^{\pmb {1}}. l.293 }{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Misplaced alignment tab character &. <argument> q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.304 }{} ! Misplaced alignment tab character &. <argument> ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.304 }{} ! Misplaced alignment tab character &. <recently read> & l.304 }{} ! Misplaced alignment tab character &. <argument> ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.304 }{} ! LaTeX Error: \begin{list} on input line 266 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Undefined control sequence. <argument> z\in \mathbb {R} l.305 ...he integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. <argument> \hat {\pmb {\beta }} l.314 ...code{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i. e. estimate of \eqn{\... ! Undefined control sequence. <recently read> \pmb l.314 ... (i. e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. <argument> \beta _0^{\pmb {1}} l.315 ...d}] Estimate of \eqn{\beta_0^{\pmb{1}}}{} in the reduced model when... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.319 ...size for \eqn{\mathcal{R}_n^{\pmb{1}}}{} . ! Undefined control sequence. <argument> \beta _0^{\pmb {1}} l.323 ...w}] Estimate of \eqn{\beta_0^{\pmb{1}}}{} for each value of the se... ! Undefined control sequence. <argument> \theta _0^{\pmb {1}} l.324 ...}] Estimate of \eqn{\theta_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.329 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <recently read> \pmb l.506 ...(\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.520 }{} ! Undefined control sequence. <argument> ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.520 }{} ! Undefined control sequence. <argument> t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.521 ...{\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. <argument> z\in \mathbb {R} l.521 ...ger not less than \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.523 ...onging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. <argument> ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.526 }{} ! Undefined control sequence. <argument> ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\... l.526 }{} ! Undefined control sequence. <argument> ...1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\left <\theta _... l.526 }{} ! Undefined control sequence. <argument> ...b {1}}\left (\left <\theta _0^{\pmb {1}},\mathcal {X}_i\right ... l.526 }{} ! Undefined control sequence. <argument> ...ight >\right )+\varepsilon _i^{\pmb {1}}. l.526 }{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Misplaced alignment tab character &. <argument> q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.537 }{} ! Misplaced alignment tab character &. <argument> ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.537 }{} ! Misplaced alignment tab character &. <recently read> & l.537 }{} ! Misplaced alignment tab character &. <argument> ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.537 }{} ! LaTeX Error: \begin{list} on input line 499 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Undefined control sequence. <argument> z\in \mathbb {R} l.538 ...he integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. <argument> \hat {\pmb {\beta }} l.547 ...code{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i. e. estimate of \eqn{\... ! Undefined control sequence. <recently read> \pmb l.547 ... (i. e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. <argument> \beta _0^{\pmb {1}} l.548 ...d}] Estimate of \eqn{\beta_0^{\pmb{1}}}{} in the reduced model when... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.552 ...size for \eqn{\mathcal{R}_n^{\pmb{1}}}{} . ! Undefined control sequence. <argument> \beta _0^{\pmb {1}} l.556 ...w}] Estimate of \eqn{\beta_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \theta _0^{\pmb {1}} l.557 ...}] Estimate of \eqn{\theta_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.562 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> h\in \mathbb {R}^+ l.740 \item{} \eqn{h\in \mathbb{R}^+}{} is the bandwidth. ! Undefined control sequence. <argument> k\in \mathbb {Z}^+ l.1013 \item{} \eqn{k\in \mathbb{Z}^+}{} is a smoothing factor (the number o... ! Undefined control sequence. <argument> ...\hat {\theta }}=\min \{h\in \mathbb {R}^+ \text { such that } ... l.1019 ...}^n1_{B_{\hat{\theta}}(x,h)}(X_i)=k\}}{} , where \eqn{1_{B_{\hat{\t... ! Undefined control sequence. <argument> ... }}=\min \{h\in \mathbb {R}^+ \text { such that } \sum _{i=1}^... l.1019 ...}^n1_{B_{\hat{\theta}}(x,h)}(X_i)=k\}}{} , where \eqn{1_{B_{\hat{\t... ! Undefined control sequence. <argument> ...,\theta }=\min \left \{h\in \mathbb {R}^+ \text { such that } ... l.1158 ...}^n1_{B_{\theta}(x,h)}(X_i)=k\right\}}{} , where \eqn{1_{B_{\theta}... ! Undefined control sequence. <argument> ...in \left \{h\in \mathbb {R}^+ \text { such that } \sum _{i=1}^... l.1158 ...}^n1_{B_{\theta}(x,h)}(X_i)=k\right\}}{} , where \eqn{1_{B_{\theta}... ! Undefined control sequence. <recently read> \pmb l.1340 ...\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {1}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.1350 }{} ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {2}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.1353 }{} ! Undefined control sequence. <recently read> \pmb l.1355 The superscript \eqn{\pmb{s}}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} ... ! Undefined control sequence. <recently read> \pmb l.1355 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \pmb {s}=\pmb {1},\pmb {2} l.1355 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \pmb {s}=\pmb {1},\pmb {2} l.1355 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {1}} l.1360 ... subsample \eqn{\mathcal{E}^{\pmb{1}}}{} (see the documentation of... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.1366 }{} ! Undefined control sequence. <argument> ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.1366 }{} ! Undefined control sequence. <argument> t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.1367 ...\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. <argument> z\in \mathbb {R} l.1367 ...er not less than \eqn{z\in\mathbb{R}}{} .The size (cardinal) of th... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.1369 ...nging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. <argument> ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.1372 }{} ! Undefined control sequence. <argument> ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\... l.1372 }{} ! Undefined control sequence. <argument> ...1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\left <\theta _... l.1372 }{} ! Undefined control sequence. <argument> ...b {1}}\left (\left <\theta _0^{\pmb {1}},X_i\right >\right )+\... l.1372 }{} ! Undefined control sequence. <argument> ...ight >\right )+\varepsilon _i^{\pmb {1}}. l.1372 }{} ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {2}} l.1378 ... subsample \eqn{\mathcal{E}^{\pmb{2}}}{} . Specifically: ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}}=\bigcup _{\left \{k,\widehat {\beta }_... l.1384 }{} ! Undefined control sequence. <argument> ...ft \{k,\widehat {\beta }_{0k}^{\pmb {1}}\not =0\right \}}\left... l.1384 }{} ! Undefined control sequence. <argument> r_n=\sharp (\mathcal {R}_n^{\pmb {2}}) l.1385 ...n{r_n=\sharp(\mathcal{R}_n^{\pmb{2}})}{} , we can rename the variab... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.1385 ...ables in \eqn{\mathcal{R}_n^{\pmb{2}}}{} as follows: ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,... l.1388 }{} ! Undefined control sequence. <argument> ...{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,\zeta (t_{r_n... l.1388 }{} ! Undefined control sequence. <argument> ...b {2}}),\dots ,\zeta (t_{r_n}^{\pmb {2}})\right \}, l.1388 }{} ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.1389 ...nging to \eqn{\mathcal{R}_n^{\pmb{2}}}{} ! Undefined control sequence. <argument> ...=\sum _{k=1}^{r_n}\beta _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}... l.1391 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ... _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}})+r^{\pmb {2}}\left (\... l.1391 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ...2}}\zeta _i(t_k^{\pmb {2}})+r^{\pmb {2}}\left (\left <\theta _... l.1391 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ...b {2}}\left (\left <\theta _0^{\pmb {2}},X_i\right >\right )+\... l.1391 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ...ight >\right )+\varepsilon _i^{\pmb {2}}. l.1391 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Misplaced alignment tab character &. <argument> q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.1408 }{} ! Misplaced alignment tab character &. <argument> ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.1408 }{} ! Misplaced alignment tab character &. <recently read> & l.1408 }{} ! Misplaced alignment tab character &. <argument> ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.1408 }{} ! LaTeX Error: \begin{list} on input line 1333 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Undefined control sequence. <argument> z\in \mathbb {R} l.1409 ...e integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. <argument> \hat {\pmb {\beta }} l.1418 ...ode{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i. e. estimate of \eqn{\... ! Undefined control sequence. <recently read> \pmb l.1418 ...(i. e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.1422 ...ize for \eqn{\mathcal{R}_n^{\pmb{1}}}{} . ! Undefined control sequence. <recently read> \pmb l.1426 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <argument> \pmb {\beta }_0^{\pmb {2}} l.1426 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <argument> \theta _0^{\pmb {2}} l.1427 ...] Estimate of \eqn{\theta_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.1432 ...to build \eqn{\mathcal{R}_n^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <recently read> \pmb l.1433 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \pmb {\beta }_0^{\pmb {1}} l.1433 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \theta _0^{\pmb {1}} l.1434 ...] Estimate of \eqn{\theta_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.1438 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <recently read> \pmb l.1618 ...\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {1}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.1628 }{} ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {2}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.1631 }{} ! Undefined control sequence. <recently read> \pmb l.1633 The superscript \eqn{\pmb{s}}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} ... ! Undefined control sequence. <recently read> \pmb l.1633 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \pmb {s}=\pmb {1},\pmb {2} l.1633 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \pmb {s}=\pmb {1},\pmb {2} l.1633 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {1}} l.1638 ... subsample \eqn{\mathcal{E}^{\pmb{1}}}{} (see the documentation of... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.1644 }{} ! Undefined control sequence. <argument> ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.1644 }{} ! Undefined control sequence. <argument> t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.1645 ...\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. <argument> z\in \mathbb {R} l.1645 ...er not less than \eqn{z\in\mathbb{R}}{} .The size (cardinal) of th... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.1647 ...nging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. <argument> ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.1650 }{} ! Undefined control sequence. <argument> ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\... l.1650 }{} ! Undefined control sequence. <argument> ...1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\left <\theta _... l.1650 }{} ! Undefined control sequence. <argument> ...b {1}}\left (\left <\theta _0^{\pmb {1}},X_i\right >\right )+\... l.1650 }{} ! Undefined control sequence. <argument> ...ight >\right )+\varepsilon _i^{\pmb {1}}. l.1650 }{} ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {2}} l.1656 ... subsample \eqn{\mathcal{E}^{\pmb{2}}}{} . Specifically: ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}}=\bigcup _{\left \{k,\widehat {\beta }_... l.1662 }{} ! Undefined control sequence. <argument> ...ft \{k,\widehat {\beta }_{0k}^{\pmb {1}}\not =0\right \}}\left... l.1662 }{} ! Undefined control sequence. <argument> r_n=\sharp (\mathcal {R}_n^{\pmb {2}}) l.1663 ...n{r_n=\sharp(\mathcal{R}_n^{\pmb{2}})}{} , we can rename the variab... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.1663 ...ables in \eqn{\mathcal{R}_n^{\pmb{2}}}{} as follows: ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,... l.1666 }{} ! Undefined control sequence. <argument> ...{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,\zeta (t_{r_n... l.1666 }{} ! Undefined control sequence. <argument> ...b {2}}),\dots ,\zeta (t_{r_n}^{\pmb {2}})\right \}, l.1666 }{} ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.1667 ...nging to \eqn{\mathcal{R}_n^{\pmb{2}}}{} ! Undefined control sequence. <argument> ...=\sum _{k=1}^{r_n}\beta _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}... l.1669 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ... _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}})+r^{\pmb {2}}\left (\... l.1669 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ...2}}\zeta _i(t_k^{\pmb {2}})+r^{\pmb {2}}\left (\left <\theta _... l.1669 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ...b {2}}\left (\left <\theta _0^{\pmb {2}},X_i\right >\right )+\... l.1669 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ...ight >\right )+\varepsilon _i^{\pmb {2}}. l.1669 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Misplaced alignment tab character &. <argument> q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.1686 }{} ! Misplaced alignment tab character &. <argument> ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.1686 }{} ! Misplaced alignment tab character &. <recently read> & l.1686 }{} ! Misplaced alignment tab character &. <argument> ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.1686 }{} ! LaTeX Error: \begin{list} on input line 1611 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Undefined control sequence. <argument> z\in \mathbb {R} l.1687 ...e integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. <argument> \hat {\pmb {\beta }} l.1698 ...ode{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i.e. estimate of \eqn{\p... ! Undefined control sequence. <recently read> \pmb l.1698 ... (i.e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. <recently read> \pmb l.1706 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <argument> \pmb {\beta }_0^{\pmb {2}} l.1706 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <argument> \theta _0^{\pmb {2}} l.1707 ...] Estimate of \eqn{\theta_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.1712 ...to build \eqn{\mathcal{R}_n^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <recently read> \pmb l.1713 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \pmb {\beta }_0^{\pmb {1}} l.1713 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \theta _0^{\pmb {1}} l.1714 ...] Estimate of \eqn{\theta_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.1718 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <recently read> \mathbb l.1854 ...ates taking values in \eqn{\mathbb{R}}{} . In this equation, \eqn{\... ! Undefined control sequence. <recently read> \pmb l.1854 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} is a vector of unknown re... ! Undefined control sequence. <argument> ...,\beta _{0p_n})^{\top } \in \mathbb {R}^{p_n} l.1854 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} is a vector of unknown re... ! Undefined control sequence. <argument> \mathcal {Q}\left (\pmb {\beta }\right )=\frac {1}{2}\left (\pmb... l.1859 }{} ! Undefined control sequence. <argument> ...a }\right )=\frac {1}{2}\left (\pmb {Y}-\pmb {Z}\pmb {\beta }\... l.1859 }{} ! Undefined control sequence. <argument> ... )=\frac {1}{2}\left (\pmb {Y}-\pmb {Z}\pmb {\beta }\right )^{... l.1859 }{} ! Undefined control sequence. <argument> ... {1}{2}\left (\pmb {Y}-\pmb {Z}\pmb {\beta }\right )^{\top }\l... l.1859 }{} ! Undefined control sequence. <argument> ...{\beta }\right )^{\top }\left (\pmb {Y}-\pmb {Z}\pmb {\beta }\... l.1859 }{} ! Undefined control sequence. <argument> ...right )^{\top }\left (\pmb {Y}-\pmb {Z}\pmb {\beta }\right )+n... l.1859 }{} ! Undefined control sequence. <argument> ...{\top }\left (\pmb {Y}-\pmb {Z}\pmb {\beta }\right )+n\sum _{j... l.1859 }{} ! Undefined control sequence. <recently read> \pmb l.1861 ...{P}_{\lambda_{j_n}}\left(\cdot\right)}{} is a penalty function (sp... ! Undefined control sequence. <recently read> \pmb l.3356 ...\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {1}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.3366 }{} ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {2}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.3369 }{} ! Undefined control sequence. <recently read> \pmb l.3371 The superscript \eqn{\pmb{s}}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} ... ! Undefined control sequence. <recently read> \pmb l.3371 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \pmb {s}=\pmb {1},\pmb {2} l.3371 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \pmb {s}=\pmb {1},\pmb {2} l.3371 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {1}} l.3376 ... subsample \eqn{\mathcal{E}^{\pmb{1}}}{} . Specifically: ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.3382 }{} ! Undefined control sequence. <argument> ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.3382 }{} ! Undefined control sequence. <argument> t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.3383 ...\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. <argument> z\in \mathbb {R} l.3383 ...er not less than \eqn{z\in\mathbb{R}}{} .The size (cardinal) of th... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.3385 ...nging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. <argument> ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.3388 }{} ! Undefined control sequence. <argument> ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+\varepsilon _i^{\pmb... l.3388 }{} ! Undefined control sequence. <argument> ..._k^{\pmb {1}})+\varepsilon _i^{\pmb {1}}. l.3388 }{} ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {2}} l.3394 ... subsample \eqn{\mathcal{E}^{\pmb{2}}}{} . Specifically: ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}}=\bigcup _{\left \{k,\widehat {\beta }_... l.3400 }{} ! Undefined control sequence. <argument> ...ft \{k,\widehat {\beta }_{0k}^{\pmb {1}}\not =0\right \}}\left... l.3400 }{} ! Undefined control sequence. <argument> r_n=\sharp (\mathcal {R}_n^{\pmb {2}}) l.3401 ...n{r_n=\sharp(\mathcal{R}_n^{\pmb{2}})}{} , we can rename the variab... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.3401 ...ables in \eqn{\mathcal{R}_n^{\pmb{2}}}{} as follows: ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,... l.3404 }{} ! Undefined control sequence. <argument> ...{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,\zeta (t_{r_n... l.3404 }{} ! Undefined control sequence. <argument> ...b {2}}),\dots ,\zeta (t_{r_n}^{\pmb {2}})\right \}, l.3404 }{} ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.3405 ...nging to \eqn{\mathcal{R}_n^{\pmb{2}}}{} ! Undefined control sequence. <argument> ...=\sum _{k=1}^{r_n}\beta _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}... l.3407 ...k^{\pmb{2}})+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ... _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}})+\varepsilon _i^{\pmb... l.3407 ...k^{\pmb{2}})+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ..._k^{\pmb {2}})+\varepsilon _i^{\pmb {2}}. l.3407 ...k^{\pmb{2}})+\varepsilon_i^{\pmb{2}}.}{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Misplaced alignment tab character &. <argument> q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.3424 }{} ! Misplaced alignment tab character &. <argument> ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.3424 }{} ! Misplaced alignment tab character &. <recently read> & l.3424 }{} ! Misplaced alignment tab character &. <argument> ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.3424 }{} ! LaTeX Error: \begin{list} on input line 3349 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Undefined control sequence. <argument> z\in \mathbb {R} l.3425 ...e integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. <argument> \hat {\pmb {\beta }} l.3434 ...ode{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i. e. estimate of \eqn{\... ! Undefined control sequence. <recently read> \pmb l.3434 ...(i. e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.3436 ...ize for \eqn{\mathcal{R}_n^{\pmb{1}}}{} . ! Undefined control sequence. <recently read> \pmb l.3439 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <argument> \pmb {\beta }_0^{\pmb {2}} l.3439 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.3443 ...to build \eqn{\mathcal{R}_n^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <recently read> \pmb l.3444 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \pmb {\beta }_0^{\pmb {1}} l.3444 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.3447 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <recently read> \pmb l.3609 ...\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {1}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.3619 }{} ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {2}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.3622 }{} ! Undefined control sequence. <recently read> \pmb l.3624 The superscript \eqn{\pmb{s}}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} ... ! Undefined control sequence. <recently read> \pmb l.3624 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \pmb {s}=\pmb {1},\pmb {2} l.3624 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \pmb {s}=\pmb {1},\pmb {2} l.3624 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {1}} l.3629 ... subsample \eqn{\mathcal{E}^{\pmb{1}}}{} . Specifically: ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.3635 }{} ! Undefined control sequence. <argument> ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.3635 }{} ! Undefined control sequence. <argument> t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.3636 ...\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. <argument> z\in \mathbb {R} l.3636 ...er not less than \eqn{z\in\mathbb{R}}{} .The size (cardinal) of th... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.3638 ...nging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. <argument> ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.3641 }{} ! Undefined control sequence. <argument> ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+m^{\pmb {1}}\left (X... l.3641 }{} ! Undefined control sequence. <argument> ...1}}\zeta _i(t_k^{\pmb {1}})+m^{\pmb {1}}\left (X_i\right )+\va... l.3641 }{} ! Undefined control sequence. <argument> ...t (X_i\right )+\varepsilon _i^{\pmb {1}}. l.3641 }{} ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {2}} l.3647 ... subsample \eqn{\mathcal{E}^{\pmb{2}}}{} . Specifically: ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}}=\bigcup _{\left \{k,\widehat {\beta }_... l.3653 }{} ! Undefined control sequence. <argument> ...ft \{k,\widehat {\beta }_{0k}^{\pmb {1}}\not =0\right \}}\left... l.3653 }{} ! Undefined control sequence. <argument> r_n=\sharp (\mathcal {R}_n^{\pmb {2}}) l.3654 ...n{r_n=\sharp(\mathcal{R}_n^{\pmb{2}})}{} , we can rename the variab... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.3654 ...ables in \eqn{\mathcal{R}_n^{\pmb{2}}}{} as follows: ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,... l.3657 }{} ! Undefined control sequence. <argument> ...{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,\zeta (t_{r_n... l.3657 }{} ! Undefined control sequence. <argument> ...b {2}}),\dots ,\zeta (t_{r_n}^{\pmb {2}})\right \}, l.3657 }{} ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.3658 ...nging to \eqn{\mathcal{R}_n^{\pmb{2}}}{} ! Undefined control sequence. <argument> ...=\sum _{k=1}^{r_n}\beta _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}... l.3660 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ... _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}})+m^{\pmb {2}}\left (X... l.3660 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ...2}}\zeta _i(t_k^{\pmb {2}})+m^{\pmb {2}}\left (X_i\right )+\va... l.3660 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ...t (X_i\right )+\varepsilon _i^{\pmb {2}}. l.3660 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Misplaced alignment tab character &. <argument> q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.3677 }{} ! Misplaced alignment tab character &. <argument> ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.3677 }{} ! Misplaced alignment tab character &. <recently read> & l.3677 }{} ! Misplaced alignment tab character &. <argument> ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.3677 }{} ! LaTeX Error: \begin{list} on input line 3602 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Undefined control sequence. <argument> z\in \mathbb {R} l.3678 ...e integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. <argument> \hat {\pmb {\beta }} l.3687 ...ode{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i. e. estimate of \eqn{\... ! Undefined control sequence. <recently read> \pmb l.3687 ...(i. e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.3690 ...ize for \eqn{\mathcal{R}_n^{\pmb{1}}}{} . ! Undefined control sequence. <recently read> \pmb l.3694 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <argument> \pmb {\beta }_0^{\pmb {2}} l.3694 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.3699 ...to build \eqn{\mathcal{R}_n^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <recently read> \pmb l.3700 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \pmb {\beta }_0^{\pmb {1}} l.3700 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.3704 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <recently read> \pmb l.3877 ...\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {1}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.3887 }{} ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {2}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.3890 }{} ! Undefined control sequence. <recently read> \pmb l.3892 The superscript \eqn{\pmb{s}}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} ... ! Undefined control sequence. <recently read> \pmb l.3892 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \pmb {s}=\pmb {1},\pmb {2} l.3892 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \pmb {s}=\pmb {1},\pmb {2} l.3892 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {1}} l.3897 ... subsample \eqn{\mathcal{E}^{\pmb{1}}}{} . Specifically: ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.3903 }{} ! Undefined control sequence. <argument> ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.3903 }{} ! Undefined control sequence. <argument> t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.3904 ...\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. <argument> z\in \mathbb {R} l.3904 ...er not less than \eqn{z\in\mathbb{R}}{} .The size (cardinal) of th... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.3906 ...nging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. <argument> ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.3909 }{} ! Undefined control sequence. <argument> ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+m^{\pmb {1}}\left (X... l.3909 }{} ! Undefined control sequence. <argument> ...1}}\zeta _i(t_k^{\pmb {1}})+m^{\pmb {1}}\left (X_i\right )+\va... l.3909 }{} ! Undefined control sequence. <argument> ...t (X_i\right )+\varepsilon _i^{\pmb {1}}. l.3909 }{} ! Undefined control sequence. <argument> \mathcal {E}^{\pmb {2}} l.3915 ... subsample \eqn{\mathcal{E}^{\pmb{2}}}{} . Specifically: ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}}=\bigcup _{\left \{k,\widehat {\beta }_... l.3921 }{} ! Undefined control sequence. <argument> ...ft \{k,\widehat {\beta }_{0k}^{\pmb {1}}\not =0\right \}}\left... l.3921 }{} ! Undefined control sequence. <argument> r_n=\sharp (\mathcal {R}_n^{\pmb {2}}) l.3922 ...n{r_n=\sharp(\mathcal{R}_n^{\pmb{2}})}{} , we can rename the variab... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.3922 ...ables in \eqn{\mathcal{R}_n^{\pmb{2}}}{} as follows: ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,... l.3925 }{} ! Undefined control sequence. <argument> ...{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,\zeta (t_{r_n... l.3925 }{} ! Undefined control sequence. <argument> ...b {2}}),\dots ,\zeta (t_{r_n}^{\pmb {2}})\right \}, l.3925 }{} ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.3926 ...nging to \eqn{\mathcal{R}_n^{\pmb{2}}}{} ! Undefined control sequence. <argument> ...=\sum _{k=1}^{r_n}\beta _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}... l.3928 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ... _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}})+m^{\pmb {2}}\left (X... l.3928 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ...2}}\zeta _i(t_k^{\pmb {2}})+m^{\pmb {2}}\left (X_i\right )+\va... l.3928 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. <argument> ...t (X_i\right )+\varepsilon _i^{\pmb {2}}. l.3928 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Misplaced alignment tab character &. <argument> q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.3945 }{} ! Misplaced alignment tab character &. <argument> ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.3945 }{} ! Misplaced alignment tab character &. <recently read> & l.3945 }{} ! Misplaced alignment tab character &. <argument> ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.3945 }{} ! LaTeX Error: \begin{list} on input line 3870 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... ! Undefined control sequence. <argument> z\in \mathbb {R} l.3946 ...e integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. <argument> \hat {\pmb {\beta }} l.3955 ...ode{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i.e. estimate of \eqn{\p... ! Undefined control sequence. <recently read> \pmb l.3955 ... (i.e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. <recently read> \pmb l.3962 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <argument> \pmb {\beta }_0^{\pmb {2}} l.3962 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {2}} l.3967 ...to build \eqn{\mathcal{R}_n^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. <recently read> \pmb l.3968 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \pmb {\beta }_0^{\pmb {1}} l.3968 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <argument> \mathcal {R}_n^{\pmb {1}} l.3972 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. <recently read> \mathbb l.4219 ...ates taking values in \eqn{\mathbb{R}}{} and \eqn{X_i}{} is a func... ! Undefined control sequence. <recently read> \pmb l.4220 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} and \eqn{m(\cdot)}{} are ... ! Undefined control sequence. <argument> ...,\beta _{0p_n})^{\top } \in \mathbb {R}^{p_n} l.4220 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} and \eqn{m(\cdot)}{} are ... ! Undefined control sequence. <argument> \widetilde {\pmb {Y}}\approx \widetilde {\pmb {Z}}\pmb {\beta }_0... l.4226 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> ... {\pmb {Y}}\approx \widetilde {\pmb {Z}}\pmb {\beta }_0+\pmb {... l.4226 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> ...}}\approx \widetilde {\pmb {Z}}\pmb {\beta }_0+\pmb {\varepsil... l.4226 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> ...ilde {\pmb {Z}}\pmb {\beta }_0+\pmb {\varepsilon }, l.4226 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> \mathcal {Q}\left (\pmb {\beta }\right )=\frac {1}{2}\left (\wid... l.4230 }{} ! Undefined control sequence. <argument> ...\frac {1}{2}\left (\widetilde {\pmb {Y}}-\widetilde {\pmb {Z}}... l.4230 }{} ! Undefined control sequence. <argument> ...detilde {\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )^... l.4230 }{} ! Undefined control sequence. <argument> ...\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )^{\top }\l... l.4230 }{} ! Undefined control sequence. <argument> ...ht )^{\top }\left (\widetilde {\pmb {Y}}-\widetilde {\pmb {Z}}... l.4230 }{} ! Undefined control sequence. <argument> ...detilde {\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )+... l.4230 }{} ! Undefined control sequence. <argument> ...\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )+n\sum _{j... l.4230 }{} ! Undefined control sequence. <recently read> \pmb l.4232 ...{P}_{\lambda_{j_n}}\left(\cdot\right)}{} is a penalty function (sp... ! Undefined control sequence. <recently read> \pmb l.4236 ..., after estimating \eqn{\pmb{\beta}_0}{} by minimising (1), we dea... ! Undefined control sequence. <argument> Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4237 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. <argument> Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4237 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. <recently read> \mathbb l.4412 ...ates taking values in \eqn{\mathbb{R}}{} and \eqn{X_i}{} is a func... ! Undefined control sequence. <recently read> \pmb l.4413 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} and \eqn{m(\cdot)}{} are ... ! Undefined control sequence. <argument> ...,\beta _{0p_n})^{\top } \in \mathbb {R}^{p_n} l.4413 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} and \eqn{m(\cdot)}{} are ... ! Undefined control sequence. <argument> \widetilde {\pmb {Y}}\approx \widetilde {\pmb {Z}}\pmb {\beta }_0... l.4419 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> ... {\pmb {Y}}\approx \widetilde {\pmb {Z}}\pmb {\beta }_0+\pmb {... l.4419 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> ...}}\approx \widetilde {\pmb {Z}}\pmb {\beta }_0+\pmb {\varepsil... l.4419 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> ...ilde {\pmb {Z}}\pmb {\beta }_0+\pmb {\varepsilon }, l.4419 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> \mathcal {Q}\left (\pmb {\beta }\right )=\frac {1}{2}\left (\wid... l.4423 }{} ! Undefined control sequence. <argument> ...\frac {1}{2}\left (\widetilde {\pmb {Y}}-\widetilde {\pmb {Z}}... l.4423 }{} ! Undefined control sequence. <argument> ...detilde {\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )^... l.4423 }{} ! Undefined control sequence. <argument> ...\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )^{\top }\l... l.4423 }{} ! Undefined control sequence. <argument> ...ht )^{\top }\left (\widetilde {\pmb {Y}}-\widetilde {\pmb {Z}}... l.4423 }{} ! Undefined control sequence. <argument> ...detilde {\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )+... l.4423 }{} ! Undefined control sequence. <argument> ...\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )+n\sum _{j... l.4423 }{} ! Undefined control sequence. <recently read> \pmb l.4425 ...{P}_{\lambda_{j_n}}\left(\cdot\right)}{} is a penalty function (sp... ! Undefined control sequence. <recently read> \pmb l.4429 ..., after estimating \eqn{\pmb{\beta}_0}{} by minimising (1), we dea... ! Undefined control sequence. <argument> Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4430 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. <argument> Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4430 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. <recently read> \mathbb l.4609 ...ates taking values in \eqn{\mathbb{R}}{} and \eqn{X_i}{} is a func... ! Undefined control sequence. <recently read> \pmb l.4610 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} , \eqn{\theta_0\in\mathcal... ! Undefined control sequence. <argument> ...,\beta _{0p_n})^{\top } \in \mathbb {R}^{p_n} l.4610 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} , \eqn{\theta_0\in\mathcal... ! Undefined control sequence. <argument> \widetilde {\pmb {Y}}_{\theta _0}\approx \widetilde {\pmb {Z}}_{\... l.4616 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> ...{\theta _0}\approx \widetilde {\pmb {Z}}_{\theta _0}\pmb {\bet... l.4616 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> ...idetilde {\pmb {Z}}_{\theta _0}\pmb {\beta }_0+\pmb {\varepsil... l.4616 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> ...Z}}_{\theta _0}\pmb {\beta }_0+\pmb {\varepsilon }, l.4616 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> (\pmb {\beta },\theta ) l.4617 ...er the pair \eqn{(\pmb{\beta},\theta)}{} ! Undefined control sequence. <argument> \mathcal {Q}\left (\pmb {\beta },\theta \right )=\frac {1}{2}\le... l.4620 }{} ! Undefined control sequence. <argument> ...\frac {1}{2}\left (\widetilde {\pmb {Y}}_{\theta }-\widetilde ... l.4620 }{} ! Undefined control sequence. <argument> ...pmb {Y}}_{\theta }-\widetilde {\pmb {Z}}_{\theta }\pmb {\beta ... l.4620 }{} ! Undefined control sequence. <argument> ...\widetilde {\pmb {Z}}_{\theta }\pmb {\beta }\right )^{\top }\l... l.4620 }{} ! Undefined control sequence. <argument> ...ht )^{\top }\left (\widetilde {\pmb {Y}}_{\theta }-\widetilde ... l.4620 }{} ! Undefined control sequence. <argument> ...pmb {Y}}_{\theta }-\widetilde {\pmb {Z}}_{\theta }\pmb {\beta ... l.4620 }{} ! Undefined control sequence. <argument> ...\widetilde {\pmb {Z}}_{\theta }\pmb {\beta }\right )+n\sum _{j... l.4620 }{} ! Undefined control sequence. <recently read> \pmb l.4622 ...{P}_{\lambda_{j_n}}\left(\cdot\right)}{} is a penalty function (sp... ! Undefined control sequence. <recently read> \pmb l.4629 ..., after estimating \eqn{\pmb{\beta}_0}{} and \eqn{\theta_0}{} by m... ! Undefined control sequence. <argument> Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4630 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. <argument> Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4630 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. <recently read> \mathbb l.4838 ...ates taking values in \eqn{\mathbb{R}}{} and \eqn{X_i}{} is a func... ! Undefined control sequence. <recently read> \pmb l.4839 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} , \eqn{\theta_0\in\mathcal... ! Undefined control sequence. <argument> ...,\beta _{0p_n})^{\top } \in \mathbb {R}^{p_n} l.4839 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} , \eqn{\theta_0\in\mathcal... ! Undefined control sequence. <argument> \widetilde {\pmb {Y}}_{\theta _0}\approx \widetilde {\pmb {Z}}_{\... l.4845 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> ...{\theta _0}\approx \widetilde {\pmb {Z}}_{\theta _0}\pmb {\bet... l.4845 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> ...idetilde {\pmb {Z}}_{\theta _0}\pmb {\beta }_0+\pmb {\varepsil... l.4845 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> ...Z}}_{\theta _0}\pmb {\beta }_0+\pmb {\varepsilon }, l.4845 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. <argument> (\pmb {\beta },\theta ) l.4846 ...er the pair \eqn{(\pmb{\beta},\theta)}{} ! Undefined control sequence. <argument> \mathcal {Q}\left (\pmb {\beta },\theta \right )=\frac {1}{2}\le... l.4849 }{} ! Undefined control sequence. <argument> ...\frac {1}{2}\left (\widetilde {\pmb {Y}}_{\theta }-\widetilde ... l.4849 }{} ! Undefined control sequence. <argument> ...pmb {Y}}_{\theta }-\widetilde {\pmb {Z}}_{\theta }\pmb {\beta ... l.4849 }{} ! Undefined control sequence. <argument> ...\widetilde {\pmb {Z}}_{\theta }\pmb {\beta }\right )^{\top }\l... l.4849 }{} ! Undefined control sequence. <argument> ...ht )^{\top }\left (\widetilde {\pmb {Y}}_{\theta }-\widetilde ... l.4849 }{} ! Undefined control sequence. <argument> ...pmb {Y}}_{\theta }-\widetilde {\pmb {Z}}_{\theta }\pmb {\beta ... l.4849 }{} ! Undefined control sequence. <argument> ...\widetilde {\pmb {Z}}_{\theta }\pmb {\beta }\right )+n\sum _{j... l.4849 }{} ! Undefined control sequence. <recently read> \pmb l.4851 ...{P}_{\lambda_{j_n}}\left(\cdot\right)}{} is a penalty function (sp... ! Undefined control sequence. <recently read> \pmb l.4857 ..., after estimating \eqn{\pmb{\beta}_0}{} and \eqn{\theta_0}{} by m... ! Undefined control sequence. <argument> Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4858 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. <argument> Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4858 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. <argument> \hat {\pmb {\beta }} l.4872 ...ode{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i. e. the estimate of \e... ! Undefined control sequence. <recently read> \pmb l.4872 ...e. the estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. <recently read> \pmb l.4878 ...n used to estimate \eqn{\pmb{\beta}_0}{} and \eqn{\theta_0}{}. Tha... ! Undefined control sequence. <recently read> \pmb l.4884 used by the optimal \eqn{\pmb{\beta}}{} for each \eqn{\theta}{} in \e... Flavors: r-oldrel-macos-arm64, r-oldrel-macos-x86_64

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Flavors: r-oldrel-macos-arm64, r-oldrel-macos-x86_64