Bayesian Survival Analysis of Weibull Distribution Assuming Various Loss Structure

G. Venkatesan, P.Saranya

Abstract: In this paper, two parameter Weibulldistribution model is considered for Bayesian risk analysis of survival function by assuming non-informative and informative priors such as Jeffrey’s, Extended Jeffrey’s and Lognormal-Inverted gamma using with different type of loss functions as Squared error loss function (SELF), General entropy loss function (GELF), Quadratic loss function (QLF), Weighted loss function(WLF) and Squared logarithmic loss function(SLLF). To illustrate the methodology, simulation study is carried out and done the analysis.

Keywords: Bayesian analysis, Bayes Risk, General entropy loss function, Maximum likelihoodestimation, Quadratic loss function, Squared logarithmic loss function, Squared error loss function, Weibulldistribution, Weighted loss function.

Title: Bayesian Survival Analysis of Weibull Distribution Assuming Various Loss Structure

Author: G. Venkatesan, P.Saranya

International Journal of Interdisciplinary Research and Innovations

ISSN 2348-1218 (print), ISSN 2348-1226 (online)

Research Publish Journals

Vol. 6, Issue 2, April 2018 – June 2018

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Bayesian Survival Analysis of Weibull Distribution Assuming Various Loss Structure by G. Venkatesan, P.Saranya