Internal function used to compute the threshold value for constructing simultaneous confidence bands via multiplier bootstrap.

internal

Provides computational tools for estimating inverse regions and
constructing the corresponding simultaneous outer and inner confidence regions.
Acceptable input includes both one-dimensional and two-dimensional data for linear,
logistic, functional, and spatial generalized least squares regression models.
Functions are also available for constructing simultaneous confidence bands (SCBs)
for these models. The definition of simultaneous confidence regions (SCRs) follows
Sommerfeld et al. (2018) <doi:10.1080/01621459.2017.1341838>. Methods for estimating
inverse regions, SCRs, and the nonparametric bootstrap are based on
Ren et al. (2024) <doi:10.1093/jrsssc/qlae027>. Methods for constructing SCBs
are described in Crainiceanu et al. (2024) <doi:10.1201/9781003278726>
and Telschow et al. (2022) <doi:10.1016/j.jspi.2021.05.008>.

Zhuoran Yu

SCoRES

Simultaneous Confidence Region Excursion Sets

Armin Schwartzman

Junting Ren

Julia Wrobel

MB_ function

<dl><dt>x</dt>
<dd>A numeric vector of x-coordinates.</dd>
<dt>y</dt>
<dd>A numeric vector of y-coordinates.</dd>
<dt>R</dt>
<dd>A 3D array of standardized residuals with dimensions <code>[length(x), length(y), n]</code>, where <code>n</code> is the sample size.</dd>
<dt>N</dt>
<dd>An integer specifying the number of bootstrap samples. Default is <code>1000</code>.</dd></dl>

Arguments

Multiplier Bootstrap for Simultaneous Confidence Band Threshold — MB_

<dl>

<dt>x</dt>
<dd>A numeric vector of x-coordinates.</dd>


<dt>y</dt>
<dd>A numeric vector of y-coordinates.</dd>


<dt>R</dt>
<dd>A 3D array of standardized residuals with dimensions <code>[length(x), length(y), n]</code>, where <code>n</code> is the sample size.</dd>


<dt>N</dt>
<dd>An integer specifying the number of bootstrap samples. Default is <code>1000</code>.</dd>

</dl>

MB_: Multiplier Bootstrap for Simultaneous Confidence Band Threshold

Description

Usage

Value

Arguments

Examples