The use of simulation in the comparison between three methods to compare the exponential distribution year, my teacher

Abstract

Recently a new distribution, named as Generalized Exponential distribution, has been introduced and studied quite extensively by authors. This distribution can be used as an alternative to Gamma or Weibull distribution in many situations such as life testing and reliability studies. In this research we mainly consider three methods of estimation procedure, which are Maximum Likelihood, and Moments Methods and Percentiles Estimators, to estimate the shape and scale parameters for , in three cases, first estimation of λ when α is known, second estimating of α when λ is known, third the estimation procedures when both are unknown. The performances of these estimators are compared through numerical simulations, and all the results are explained in tables.Keywords: Generalized Exponential Distribution, MLE, MME, Percentiles Estimators, Hazard Function MSE.