The effect of extreme values on Lomax distribution estimators with simulation

The significant impact of the extreme values on the estimations of the statistical distributions leads to the fact that the adoption of these estimations in the estimation of many statistical functions such as (reliability, survival) and others is not strictly acceptable because of the high difference between the real and estimated values of these functions. The research included comparing several estimation methods for the Lomax distribution parameter according to different values of the sample size, the value of the distribution parameter and the estimation method. The simulation results showed the effect of the estimator values on the sample size, the value of the distribution parameter and the estimation method. Other estimation methods can be relied upon, as well as other statistical distributions to know the effect of extreme values on them.

Keywords:

Lomax distribution , Maximum Likelihood Estimation Method , Moment Method , Mean Square Error , Extreme Values , Simulation Experiments