SolveHt1

This function obtains an estimating equation of H at the first observed survival time t1.

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

SolveHt1 function

<dl><dt>Ht1</dt>
<dd>The solver solves for an optimal value of Ht1 by equating the estimating equation to zero.</dd>
<dt>Z</dt>
<dd>The observed survival time, which is the minimum of T, C and A.</dd>
<dt>nu</dt>
<dd>The censoring indicator for T or C</dd>
<dt>t</dt>
<dd>A fixed time point</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>theta</dt>
<dd>Vector of parameters</dd></dl>

Arguments

Estimating equation for Ht1 — SolveHt1

<dl>

<dt>Ht1</dt>
<dd>The solver solves for an optimal value of Ht1 by equating the estimating equation to zero.</dd>


<dt>Z</dt>
<dd>The observed survival time, which is the minimum of T, C and A.</dd>


<dt>nu</dt>
<dd>The censoring indicator for T or C</dd>


<dt>t</dt>
<dd>A fixed time point</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>theta</dt>
<dd>Vector of parameters</dd>

</dl>

SolveHt1: Estimating equation for Ht1

Description

Usage

Arguments