dpidtheta_adtneh2

Partial derivatives of pi (net survival at tau) by theta
#' @description Partial derivatives of cure fraction (or net survival at tau)
by theta from non-mixture model with distribution "tneh".

internal

Fits a variety of cure models using excess hazard modeling methodology such as the mixture model proposed by Phillips et al. (2002) <doi:10.1002/sim.1101> The Weibull distribution is used to represent the survival function of the uncured patients; Fits also non-mixture cure model such as the time-to-null excess hazard model proposed by Boussari et al. (2020) <doi:10.1111/biom.13361>.

Juste Goungounga

curesurv

Mixture and Non Mixture Parametric Cure Models to Estimate Cure
Indicators

Judith Breaud

Olayide Boussari

Laura Botta 

Valerie Jooste

dpidtheta_adtneh2 function

<dl><dt>z_tau</dt>
<dd>Covariates matrix acting on time-to-null parameter.</dd>
<dt>z_alpha</dt>
<dd>Covariates matrix acting on parameter alpha of the density of
time-to-null excess hazard model</dd>
<dt>x</dt>
<dd>time at which the estimates are predicted</dd>
<dt>object</dt>
<dd>ouput from model implemented in curesurv</dd>
<dt>cumLexctopred</dt>
<dd>pre prediction (obtained from cumLexc_ad2_topred), if NULL then it is calculated</dd></dl>

Arguments

dpidtheta_adtneh2 function — dpidtheta_adtneh2

<dl>

<dt>z_tau</dt>
<dd>Covariates matrix acting on time-to-null parameter.</dd>


<dt>z_alpha</dt>
<dd>Covariates matrix acting on parameter alpha of the density of
time-to-null excess hazard model</dd>


<dt>x</dt>
<dd>time at which the estimates are predicted</dd>


<dt>object</dt>
<dd>ouput from model implemented in curesurv</dd>


<dt>cumLexctopred</dt>
<dd>pre prediction (obtained from cumLexc_ad2_topred), if NULL then it is calculated</dd>

</dl>

dpidtheta_adtneh2: dpidtheta_adtneh2 function

Description

Usage

Arguments