Comparison Between Reliability Estimates Using Linear Formula and The Maximum Likelihood Methods for Exponentiated Inverse Rayleigh distribution

The two parameters and the reliability function of the Exponentiated Inverse Rayleigh distribution (EIRD) were estimated in this paper by using four estimation methods which are: Maximum Likelihood (MLE),White (W), Modified White (MW) and Linear Regression (REG) methods. Using simulation to generate the required data on three experiments of the default value of the parameters , with different sample sizes (m=10,50,100) and repeated 1000 times. The results were compared by using mean square error criterion, the result appears as follows: Maximum Likelihood estimator is the best to estimating the exponentiated parameter with the reliability in most of the experiments that were used and the Linear Regression estimator is the best in most of the experiments that were used to estimating the scale parameter