alpha_star

Calculates parameter \(\alpha^*\) of \(q^*(b)\) to optimize the
evidence based lower bound (ELBO) in <code>survregVB.fit</code> and
<code>survregVB.frailty.fit</code>.

Implements Bayesian inference in accelerated failure time (AFT) models for
right-censored survival times assuming a log-logistic distribution. Details of the
variational Bayes algorithms, with and without shared frailty, are described in
Xian et al. (2024) <doi:10.1007/s11222-023-10365-6> and
Xian et al. (2024) <doi:10.48550/arXiv.2408.00177>, respectively.

Alison Zhang

survregVB

Variational Bayesian Analysis of Survival Data

Chengqian Xian

alpha_star function

<dl><dt>alpha_0</dt>
<dd>The shape hyperparameter \(\alpha_0\) of the prior
distribution of the scale parameter, b.</dd>
<dt>delta</dt>
<dd>A binary vector indicating right censoring.</dd></dl>

Arguments

Calculates parameter \(\alpha^*\) of \(q^*(b)\) to optimize the
evidence based lower bound (ELBO) in survregVB.fit and
survregVB.frailty.fit. — alpha_star

<dl>

<dt>alpha_0</dt>
<dd>The shape hyperparameter \(\alpha_0\) of the prior
distribution of the scale parameter, b.</dd>


<dt>delta</dt>
<dd>A binary vector indicating right censoring.</dd>

</dl>

Calculates parameter \(\alpha^*\) of \(q^*(b)\) to optimize the
evidence based lower bound (ELBO) in <code>survregVB.fit</code> and
<code>survregVB.frailty.fit</code>.

alpha_star: Calculates parameter \(\alpha^\) of \(q^(b)\) to optimize the evidence based lower bound (ELBO) in `survregVB.fit` and `survregVB.frailty.fit`.

Description

Usage

Value

Arguments

See Also