.nu_sigma_update

Calculates nu and sigma2 for the Gaussian Markov random field prior, 
for a given split point j

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

.nu_sigma_update function

<dl><dt>j</dt>
<dd>current split point</dd>
<dt>lambda_0</dt>
<dd>historical baseline hazard</dd>
<dt>mu</dt>
<dd>prior mean for baseline hazard</dd>
<dt>sigma2</dt>
<dd>prior variance hyperparameter for baseline hazard</dd>
<dt>W</dt>
<dd>influence from right and left neighbors</dd>
<dt>Q</dt>
<dd>individual effect of neighborhood</dd>
<dt>J</dt>
<dd>number of split points</dd></dl>

Arguments

Calculates nu and sigma2 for the Gaussian Markov random field prior, 
for a given split point j — .nu_sigma_update

<dl>

<dt>j</dt>
<dd>current split point</dd>


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


<dt>mu</dt>
<dd>prior mean for baseline hazard</dd>


<dt>sigma2</dt>
<dd>prior variance hyperparameter for baseline hazard</dd>


<dt>W</dt>
<dd>influence from right and left neighbors</dd>


<dt>Q</dt>
<dd>individual effect of neighborhood</dd>


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

</dl>

.nu_sigma_update: Calculates nu and sigma2 for the Gaussian Markov random field prior, for a given split point j

Description

Usage

Value

Arguments