int_surv

Integral approximation of a time dependent function.
Computes an approximation of \(\int_start^stop S(t) dt\), where
\(S(t)\) is a survival function, for a selection of start and stop time
points.

Various methods for targeted and semiparametric inference including
augmented inverse probability weighted (AIPW) estimators for missing data and
causal inference (Bang and Robins (2005) <doi:10.1111/j.1541-0420.2005.00377.x>),
variable importance and conditional average treatment effects (CATE)
(van der Laan (2006) <doi:10.2202/1557-4679.1008>),
estimators for risk differences and relative risks (Richardson et al. (2017)
<doi:10.1080/01621459.2016.1192546>), assumption lean inference for generalized
linear model parameters (Vansteelandt et al. (2022) <doi:10.1111/rssb.12504>).

Klaus Holst

targeted

Targeted Inference

Klaus K. Holst

Benedikt Sommer

Andreas Nordland

int_surv function

<dl><dt>times</dt>
<dd>Numeric vector, sorted time points.</dd>
<dt>surv</dt>
<dd>Numeric vector, values of a survival function evaluated at time
points given by <code>times</code>.</dd>
<dt>start</dt>
<dd>Numeric vector, start of the integral.</dd>
<dt>stop</dt>
<dd>Numeric vector, end of the integral.</dd>
<dt>extend</dt>
<dd>(logical) If TRUE, integral is extended beyond the last
observed time point</dd></dl>

Arguments

Author

Integral approximation of a time dependent function.
Computes an approximation of \(\int_start^stop S(t) dt\), where
\(S(t)\) is a survival function, for a selection of start and stop time
points. — int_surv

<dl>

<dt>times</dt>
<dd>Numeric vector, sorted time points.</dd>


<dt>surv</dt>
<dd>Numeric vector, values of a survival function evaluated at time
points given by <code>times</code>.</dd>


<dt>start</dt>
<dd>Numeric vector, start of the integral.</dd>


<dt>stop</dt>
<dd>Numeric vector, end of the integral.</dd>


<dt>extend</dt>
<dd>(logical) If TRUE, integral is extended beyond the last
observed time point</dd>

</dl>

Integral approximation of a time dependent function.
Computes an approximation of \(\int_start^stop S(t) dt\), where
\(S(t)\) is a survival function, for a selection of start and stop time
points.

int_surv: Integral approximation of a time dependent function. Computes an approximation of \(\int_start^stop S(t) dt\), where \(S(t)\) is a survival function, for a selection of start and stop time points.

Description

Usage

Value

Arguments

Author