Radiative Flow of Powell-Eyring Liquid in Presence of Convective Condition

Abstract

This thesis provides estimation of the parameter of Gumbel type II distribution. We have used two informative priors; Gamma prior and Exponential prior for the unknown parameter of the Gumbel distribution. The graphs of the posterior distribution of the parameter of the Gumble type II distribution using informative and noninformative priors are drawn to check the symmetry of the distribution. The comparison of the prior distribution is made on the basis of coefficient of skewness andposterior risk under three loss functions (Square error, weighted and Quadratic). The Bayesian Hypothesis testing has been done for the testing of the parameter of the Gumble distribution. Censoring scheme (type I and type II) is also used for time to failure data. The posterior distribution, Bayes estimator and Bayes posterior risk using type I and type II censoring is derived. Mixture Prior is used for the parameter of Gumble distributions. The objective of study is to select a suitable prior for parameter of Gumble distribution. Exponential prior for the parameter of the Gumble distribution is recommended for the Bayesian analysis of the Gumble model as the value of the posterior risk using this prior is minimum