LikCopInd

Loglikehood function under independent censoring

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

LikCopInd function

<dl><dt>theta</dt>
<dd>Estimated parameter values/initial values for finite dimensional parameters</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. First column of W should be ones</dd>
<dt>lhat</dt>
<dd>The estimated hazard function obtained from the output of <code>SolveLI</code>.</dd>
<dt>cumL</dt>
<dd>The estimated cumulative hazard function from the output of <code>SolveLI</code>.</dd>
<dt>dist</dt>
<dd>The distribution to be used for the dependent censoring C. Only two distributions are allowed, i.e, Weibull
and lognormal distributions. With the value <code>"Weibull"</code> as the
 default.
 @importFrom stats nlminb pnorm qnorm sd</dd></dl>

Arguments

Loglikehood function under independent censoring — LikCopInd

<dl>

<dt>theta</dt>
<dd>Estimated parameter values/initial values for finite dimensional parameters</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. First column of W should be ones</dd>


<dt>lhat</dt>
<dd>The estimated hazard function obtained from the output of <code>SolveLI</code>.</dd>


<dt>cumL</dt>
<dd>The estimated cumulative hazard function from the output of <code>SolveLI</code>.</dd>


<dt>dist</dt>
<dd>The distribution to be used for the dependent censoring C. Only two distributions are allowed, i.e, Weibull
and lognormal distributions. With the value <code>"Weibull"</code> as the
 default.
 @importFrom stats nlminb pnorm qnorm sd</dd>

</dl>

LikCopInd: Loglikehood function under independent censoring

Description

Usage

Value

Arguments