POSTERIOR ANALYSIS OF A COMPETING RISK MODEL BASED ON DECREASING FAILURE RATE WEIBULL AND EXPONENTIAL FAILURES

  • Rakesh Ranjan Department of Statistics
  • S.K. Upadhyay Department of Statistics DST Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University, Varanasi‐221 005, India
Keywords: Weibull Model, Exponential Model, Decreasing Failure Rate, Constant Failure Rate, Gibbs Sampler, Metropolis Algorithm, Expectation‐Maximization Algorithm

Abstract

The paper considers a competing risk model based on decreasing failure rate Weibull and constant failure rate exponential models. The failure may arise due to either of the two causes where the former represents death due to birth defect and the latter represents an accidental failure that may occur at any moment during the normal life cycle. The Bayes analysis is done using weak but proper priors for the parameters. Since the posterior analysis involves analytically intractable integrals, the paper proposes a Gibbs-Metropolis hybridization scheme to draw the corresponding posterior samples. For initial values of model parameters, the paper proposes the use of maximum likleihood estimates obtained using expectation-maximization algorithm. The numerical illustration is provided based on a simulated data example.

 

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Published
2015-05-21
Section
Articles