BAYES ESTIMATES FOR THE PARAMETERS OF POISSON TYPE LENGTH BIASED EXPONENTIAL CLASS MODEL USING NON-INFORMATIVE PRIORS

  • Rajesh Singh Department of Statistics, S. G. B. Amravati University, Amravati, India
  • Pritee Singh Department of Statistics, Institute of Science, Nagpur, India
  • Kailash Kale Department of Statistics, R. D. N. C., Bandra (W), Mumbai, India
Keywords: Binomial Process, Non-Informative Prior, Maximum Likelihood Estimator (MLE), Rayleigh Class, Software Reliability Growth Model (SRGM), Incomplete Gamma Function, Confluent Hypergeometric Function

Abstract

In this paper, the failure intensity has been characterized by one parameter length biased exponential class Software Reliability Growth Model (SRGM) considering the Poisson process of occurrence of software failures. This proposed length biased exponential class model is a function of parameters namely; total number of failures θ and scale parameter θ. It is assumed that very little or no information is available about both these parameters. The Bayes estimators for parameters θ and θ have been obtained using non-informative priors for each parameter under square error loss function. The Monte Carlo simulation technique is used to study the performance of proposed Bayes estimators against their corresponding maximum likelihood estimators on the basis of risk efficiencies. It is concluded that both the proposed Bayes estimators of total number of failures and scale parameter perform well for proper choice of execution time.

 

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Published
2016-04-09
Section
Articles