.tau_update

Sample tau from posterior distribution

Allows Bayesian borrowing from a historical dataset for time-to-
event data. A flexible baseline hazard function is achieved via a piecewise
exponential likelihood with time varying split points and smoothing prior on the
historic baseline hazards. The method is described in Scott and Lewin (2024)
<doi:10.48550/arXiv.2401.06082>, and the software paper is in Axillus et al.
(2024) <doi:10.48550/arXiv.2408.04327>.

Darren Scott

BayesFBHborrow

Bayesian Dynamic Borrowing with Flexible Baseline Hazard
Function

Sophia Axillus

.tau_update function

<dl><dt>lambda_0</dt>
<dd>historical baseline hazard</dd>
<dt>lambda</dt>
<dd>baseline hazard</dd>
<dt>J</dt>
<dd>number of split points</dd>
<dt>s</dt>
<dd>split point locations, J + 2</dd>
<dt>a_tau</dt>
<dd>Inverse Gamma hyperparameter</dd>
<dt>b_tau</dt>
<dd>Inverse Gamma hyperparameter</dd>
<dt>c_tau</dt>
<dd>Inverse Gamma hyperparameter</dd>
<dt>d_tau</dt>
<dd>Inverse Gamma hyperparameter</dd>
<dt>p_0</dt>
<dd>mixture ratio</dd>
<dt>type</dt>
<dd>choice of borrowing, "mix", "uni", or any other string for 
borrowing on every baseline hazard without mixture</dd></dl>

Arguments

Sample tau from posterior distribution — .tau_update

<dl>

<dt>lambda_0</dt>
<dd>historical baseline hazard</dd>


<dt>lambda</dt>
<dd>baseline hazard</dd>


<dt>J</dt>
<dd>number of split points</dd>


<dt>s</dt>
<dd>split point locations, J + 2</dd>


<dt>a_tau</dt>
<dd>Inverse Gamma hyperparameter</dd>


<dt>b_tau</dt>
<dd>Inverse Gamma hyperparameter</dd>


<dt>c_tau</dt>
<dd>Inverse Gamma hyperparameter</dd>


<dt>d_tau</dt>
<dd>Inverse Gamma hyperparameter</dd>


<dt>p_0</dt>
<dd>mixture ratio</dd>


<dt>type</dt>
<dd>choice of borrowing, "mix", "uni", or any other string for 
borrowing on every baseline hazard without mixture</dd>

</dl>

.tau_update: Sample tau from posterior distribution

Description

Usage

Value

Arguments