Likelihood.Semiparametric

Calculate the semiparametric version of profiled likelihood function

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

Likelihood.Semiparametric function

<dl><dt>param</dt>
<dd>a vector contains all parametric parameters.</dd>
<dt>Syobs</dt>
<dd>values of survival function at observed time points.</dd>
<dt>yobs</dt>
<dd>a numeric vector that indicated the observed survival times.</dd>
<dt>delta</dt>
<dd>a numeric vector that stores the right-censoring indicators.</dd>
<dt>copfam</dt>
<dd>a character string that specifies the copula family.</dd>
<dt>margins</dt>
<dd>a list used to define the distribution structures of both the survival and censoring margins.</dd>
<dt>cure</dt>
<dd>a logical value that indicates whether the existence of a cured fraction should be considered.</dd></dl>

Arguments

Calculate the semiparametric version of profiled likelihood function — Likelihood.Semiparametric

<dl>

<dt>param</dt>
<dd>a vector contains all parametric parameters.</dd>


<dt>Syobs</dt>
<dd>values of survival function at observed time points.</dd>


<dt>yobs</dt>
<dd>a numeric vector that indicated the observed survival times.</dd>


<dt>delta</dt>
<dd>a numeric vector that stores the right-censoring indicators.</dd>


<dt>copfam</dt>
<dd>a character string that specifies the copula family.</dd>


<dt>margins</dt>
<dd>a list used to define the distribution structures of both the survival and censoring margins.</dd>


<dt>cure</dt>
<dd>a logical value that indicates whether the existence of a cured fraction should be considered.</dd>

</dl>

Likelihood.Semiparametric: Calculate the semiparametric version of profiled likelihood function

Description

Usage

Arguments