G.spline

This function normalizes the covariates to lie in the unit
interval and then evaluates each B-spline at each observation, multiplying
together the results per observation.

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

G.spline function

<dl><dt>x</dt>
<dd>The vector of covariates at which to evaluate the B-splines</dd>
<dt>g.idx</dt>
<dd>The index of the instrumental function. Note that g.idx ranges
between 1 and n.if.per.cov^n.cov, as an instrumental function is the product
of the appropriate B-spline evaluation for each element in the covariate
vector.</dd>
<dt>data</dt>
<dd>Data frame containing the data.</dd>
<dt>n.if.per.cov</dt>
<dd>Number of instrumental variables to be used per covariate.</dd>
<dt>norm.func</dt>
<dd>Function to be used to normalize the covariates.</dd>
<dt>cov.ranges</dt>
<dd>Matrix of ranges of the covariates. Used for normalizing
the covariates. If <code>cov.ranges = NULL</code>, the data will be normalized in a
data-dependent way. Default is <code>cov.ranges = NULL</code>.</dd>
<dt>norm.cov.out</dt>
<dd>Output of a preliminary call to the given covariate
normalization function. Default is <code>norm.cov.out = NULL</code>.</dd>
<dt>degree</dt>
<dd>Degree of B-splines to use. Default value is <code>degree = 3</code>.</dd></dl>

Arguments

Family of spline instrumental functions — G.spline

<dl>

<dt>x</dt>
<dd>The vector of covariates at which to evaluate the B-splines</dd>


<dt>g.idx</dt>
<dd>The index of the instrumental function. Note that g.idx ranges
between 1 and n.if.per.cov^n.cov, as an instrumental function is the product
of the appropriate B-spline evaluation for each element in the covariate
vector.</dd>


<dt>data</dt>
<dd>Data frame containing the data.</dd>


<dt>n.if.per.cov</dt>
<dd>Number of instrumental variables to be used per covariate.</dd>


<dt>norm.func</dt>
<dd>Function to be used to normalize the covariates.</dd>


<dt>cov.ranges</dt>
<dd>Matrix of ranges of the covariates. Used for normalizing
the covariates. If <code>cov.ranges = NULL</code>, the data will be normalized in a
data-dependent way. Default is <code>cov.ranges = NULL</code>.</dd>


<dt>norm.cov.out</dt>
<dd>Output of a preliminary call to the given covariate
normalization function. Default is <code>norm.cov.out = NULL</code>.</dd>


<dt>degree</dt>
<dd>Degree of B-splines to use. Default value is <code>degree = 3</code>.</dd>

</dl>

G.spline: Family of spline instrumental functions

Description

Usage

Arguments