Open AccessA 3-component mixture of inverse Rayleigh distributions: properties and estimation in Bayesian framework
Author(s) -
Tabasam Sultana,
Muhammad Aslam
Publication year - 2016
Publication title -
international journal of basic and applied sciences
Language(s) - English
Resource type - Journals
ISSN - 2227-5053
DOI - 10.14419/ijbas.v5i2.5935
Subject(s) - bayesian probability , component (thermodynamics) , inverse , mathematics , estimation , bayes estimator , computer science , statistics , econometrics , physics , economics , thermodynamics , geometry , management
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.