Assessing convergence diagnostic tests for Bayesian Cox regression

ABSTRACT

The Markov chain Monte Carlo (MCMC) method generates samples from the posterior distribution and uses these samples to approximate expectations of quantities of interest. For the process, researchers have to decide whether the Markov chain has reached the desired posterior distribution. Using convergence diagnostic tests are very important to decide whether the Markov chain has reached the target distribution. Our interest in this study was to compare the performances of convergence diagnostic tests for all parameters of Bayesian Cox regression model with different number of iterations by using a simulation and a real lung cancer dataset.

KEYWORDS:

• Bayesian Cox regression
• Convergence diagnostic tests
• Markov Chain Monte Carlo

MATHEMATICS SUBJECT CLASSIFICATION:

• 62C10
• 62Nxx