# A 3-component mixture of inverse Rayleigh distributions: properties and estimation in Bayesian framework

## Authors

• Tabasam Sultana Quaid-i-Azam university, Islamabad, Pakistan

2016-04-11

## Keywords:

Bayes Estimators, Censoring, Loss Functions, Mixture Models, Posterior Risks.

## Abstract

This paper is about studying a 3-component mixture of the inverse Rayleigh distributions under Bayesian perspective. The censored sampling scheme is considered due to its popularity in reliability theory and survival analysis. The expressions for the Bayes estimators and their posterior risks are derived under different loss scenarios. In case, no little prior information is available, elicitation of hyper parameters is given. To examine, numerically, the performance of the Bayes estimators using non-informative and informative priors under different loss functions, we have simulated their statistical properties for different sample sizes and test termination times.

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