Comparing of the Reliability for two-parameters Lomax distribution using Lindley method Estimation

Abstract

  Bayesian analysis of two-parameters Lomax distribution's reliability has been examined in this search using three prior functions [ Gamma, assumption &Inverted Levy] , the estimation was produced under squared errors loss function used idea of Lindley. The simulation study was carried out to assess the performance of the three alternative estimators of reliability function by 6 assumed experiments for different values of distributions parameters with small, moderate, and large sample sizes using mean squared error criteria. The best performance, according to the reported results showed that the best performance was for Inverted Levy  prior with squared error loss function.