Bayes estimators for reliability and hazard function of Rayleigh-Logarithmic (RL) distribution with application

In this paper, we derived an estimators and parameters of Reliability and Hazard function of new mixdistribution ( Rayleigh- Logarithmic) with two parameters and increasing failure rate using Bayes Methodwith Square Error Loss function and Jeffery and conditional probability random variable of observation. Themain objective of this study is to find the efficiency of the derived of Bayesian estimator compared to theto the Maximum Likelihood of this function using Simulation technique by Monte Carlo method underdifferent Rayleigh- Logarithmic parameter and sample sizes. The consequences have shown that Bayesestimator has been more efficient than the maximum likelihood estimator in all sample sizes with application.