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Activity Number: 66 - Frontiers in Bayesian Nonparametric Methods, from Theory to Application
Type: Invited
Date/Time: Monday, August 9, 2021 : 10:00 AM to 11:50 AM
Sponsor: Section on Bayesian Statistical Science
Abstract #316998
Title: A Bayesian Nonparametric Model via Mixtures of Erlang Distributions for Survival Times
Author(s): Juhee Lee*
Companies: University of California, Santa Cruz
Keywords:
Abstract:

We propose Bayesian nonparameric modeling for survival responses built from mixtures of Erlang densities, which offer a flexible, albeit parsimonious mixture representation for the survival density and the hazard function. The mixture weights are defined through increments of a distribution function modeled with a Dirichlet process prior. This construction enables extensions to flexible regression modeling. The proposed models have exciting potential with regard to their inferential and predictive capacity, and they also offer a new perspective relative to state-of-the-art methods. Performance of the proposed model is examined by simulation, and the model is applied to analyze a real survival dataset, including comparisons to a conventional proportional hazards regression model.


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