ScoreEqn

This function computes the score vectors and the Jacobean matrix for finite model parameters.

Several statistical methods for analyzing survival data under various forms of dependent
censoring are implemented in the package. In addition to accounting for dependent censoring, it
offers tools to adjust for unmeasured confounding factors. The implemented approaches allow
users to estimate the dependency between survival time and dependent censoring time, based
solely on observed survival data. For more details on the methods, refer to Deresa and Van
Keilegom (2021) <doi:10.1093/biomet/asaa095>, Czado and Van Keilegom (2023)
<doi:10.1093/biomet/asac067>, Crommen et al. (2024) <doi:10.1007/s11749-023-00903-9>,
Deresa and Van Keilegom (2024) <doi:10.1080/01621459.2022.2161387>, Rutten et al. (2024+)
<doi:10.48550/arXiv.2403.11860> and Ding and Van Keilegom (2024).

Negera Wakgari Deresa

depCensoring

Statistical Methods for Survival Data with Dependent Censoring

Ilias Willems

Gilles Crommen

Jie Ding

Claudia Czado

Ingrid Van Keilegom

ScoreEqn function

<dl><dt>theta</dt>
<dd>Vector of parameters in the semiparametric transformation model.</dd>
<dt>resData</dt>
<dd>Data matrix with three columns; Z = the observed survival time, d1 = the censoring indicator of T
and d2 = the censoring indicator of C.</dd>
<dt>X</dt>
<dd>Data matrix with covariates related to T.</dd>
<dt>W</dt>
<dd>Data matrix with covariates related to C.</dd>
<dt>H</dt>
<dd>The estimated non-parametric transformation function for a given value of theta</dd></dl>

Arguments

Score equations of finite parameters — ScoreEqn

<dl>

<dt>theta</dt>
<dd>Vector of parameters in the semiparametric transformation model.</dd>


<dt>resData</dt>
<dd>Data matrix with three columns; Z = the observed survival time, d1 = the censoring indicator of T
and d2 = the censoring indicator of C.</dd>


<dt>X</dt>
<dd>Data matrix with covariates related to T.</dd>


<dt>W</dt>
<dd>Data matrix with covariates related to C.</dd>


<dt>H</dt>
<dd>The estimated non-parametric transformation function for a given value of theta</dd>

</dl>

ScoreEqn: Score equations of finite parameters

Description

Usage

Arguments