Bayesian Approximation Techniques for Kumaraswamy Distribution

Abstract

The present study is concerned with the estimation of shape parameter of Kumaraswamy Distribution using various Bayesian approximation techniques like normal approximation, Lindley’s Approximation, Tierney and Kadane (T-K) Approximation. Different informative and non-informative priors are used to obtain the Baye’s estimate of parameter of Kumaraswamy Distributions under different approximation techniques. For comparing the efficiency of the obtained results a simulation study is carried out using R-software.

Keywords: Bayesian Estimation, Prior Distribution, Normal Approximation, Lindley’s Approximation, T-K Approximation.