Comparison of Bayes Estimators for Parameter and Relia-bility Function for Inverse Rayleigh Distribution by Using Generalized Square Error Loss Function
Author(s) -
Huda A. Rasheed
Publication year - 2018
Publication title -
al-mustansiriyah journal of science
Language(s) - English
Resource type - Journals
eISSN - 2521-3520
pISSN - 1814-635X
DOI - 10.23851/mjs.v28i2.512
Subject(s) - mean squared error , estimator , statistics , mathematics , scale parameter , rayleigh distribution , inverse gamma distribution , inverse , bayesian probability , gamma distribution , bayes' theorem , monte carlo method , function (biology) , probability density function , asymptotic distribution , normal gamma distribution , geometry , evolutionary biology , biology
In the current study, we have been derived some Basyian estimators for the parameter and relia-bility function of the inverse Rayleigh distribution under Generalized squared error loss function. In order to get the best understanding of the behavior of Bayesian analysis, we consider non-informative prior for the scale parameter using Jefferys prior Information as well as informative prior density represented by Gamma distribution. Monte-Carlo simulation have been employed to compare the behavior of different estimates for the scale parameter and reliability function of in-verse Rayleigh distribution based on mean squared errors and Integrated mean squared errors, respectively. In the current study, we observed that more occurrence of Bayesian estimate using Generalized squared error loss function using Gamma prior is better than other estimates for all cases
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