MCMCDepGammaIntermediate: Sampler for the intermediate intervals for the piecewise...

In BayesSurvival: Bayesian Survival Analysis for Right Censored Data

Description

This is the sampler for the intermediate intervals (= all intervals except for the first and last one) in case the piecewise exponential prior with dependent Gamma heights is selected. The sampler is described in the Supplement to Castillo and Van der Pas (2020) and uses MCMC within Gibbs, with a Gamma proposal with shape parameter equal to the number of events in the interval plus some epsilon (to prevent proposals equal to zero if there are no events in an interval) and rate parameter equal to the parameter alpha (set by the user) divided by histogram height on the previous interval, plus the total amount of time all individuals were exposed during this interval. Most users of the package will not work with this function directly, but instead use the main function BayesSurv, in which this particular function is incorporated.

Usage

MCMCDepGammaIntermediate(
  current,
  prev.haz,
  next.haz,
  failure,
  exposure,
  alpha.dep
)

Arguments

current	The value of the height of the first interval from the previous iteration.
prev.haz	The value of the height of the preceding interval from the previous iteration.
next.haz	The value of the height of the next interval from the previous iteration.
failure	The number of individuals who had an event during the first interval.
exposure	The total amount of time all individuals were exposed for during the first interval.
alpha.dep	The main parameter α for the dependent Gamma prior, as described in the documentation for BayesSurv. It is recommended to take alpha.dep smaller than alpha0.dep.

Value

res	A new sample of the histogram height of the selected interval.

References

Castillo and Van der Pas (2020). Multiscale Bayesian survival analysis. <arXiv:2005.02889>.

See Also

BayesSurv, which computes the posterior mean and credible bands for the cumulative hazard and survival functions, as well as the posterior mean for the hazard. Within BayesSurv, the present function as well as MCMCDepGammaFirst is called through SamplePosteriorDepGamma.

BayesSurvival documentation built on March 13, 2021, 1:07 a.m.