dTTCdtheta_wei

function of partial derivates of time-to-cure (TTC) by theta
(estimated parameters) from a mixture cure model with uncured survival
following a Weibull distribution

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

dTTCdtheta_wei function

<dl><dt>z_ucured</dt>
<dd>covariates matrix acting on survival function of uncured</dd>
<dt>z_pcured</dt>
<dd>covariates matrix acting on cure proportion</dd>
<dt>theta</dt>
<dd>estimated parameters from the ouput of a mixture cure model implemented in curesurv</dd>
<dt>epsilon</dt>
<dd>value fixed by user to estimate the TTC \(\text{Pi}(t)\geq (1-\epsilon)\).
By default \(\epsilon = 0.05\).</dd>
<dt>TTC</dt>
<dd>time-to-cure previously estimated using TTC_wei</dd></dl>

Arguments

dTTCdtheta_wei function — dTTCdtheta_wei

<dl>

<dt>z_ucured</dt>
<dd>covariates matrix acting on survival function of uncured</dd>


<dt>z_pcured</dt>
<dd>covariates matrix acting on cure proportion</dd>


<dt>theta</dt>
<dd>estimated parameters from the ouput of a mixture cure model implemented in curesurv</dd>


<dt>epsilon</dt>
<dd>value fixed by user to estimate the TTC \(\text{Pi}(t)\geq (1-\epsilon)\).
By default \(\epsilon = 0.05\).</dd>


<dt>TTC</dt>
<dd>time-to-cure previously estimated using TTC_wei</dd>

</dl>

dTTCdtheta_wei: dTTCdtheta_wei function

Description

Usage

Arguments