The lomax Bayesian estimation under a logarithm loss function

In this search; Bayesian analysis of the two parameter Lomax distribution reliability has been considered, and the estimation has been obtained under logarithm loss function for three different prior distributions (Quasi distribution, Exponential distribution and Gamma distribution). they has been made under complete data analyses. The simulation study has been conducted to compare by mean squared error criteria for the performance of the three different estimators of reliability function by 6 assuming experiments for different values of distributions parameters and small, moderate, and big sample sizes. The recorded results showed that the best performance was for the Exponential prior distribution with logarithm loss function.