مقارنة خصائص مقدرات العزوم الاحتمالية الموزونة مع العزوم التقليدية لتوزيع Lomax ذي المعلمتين

Abstract

In this study, different methods were used for estimating shape parameter and scale parameter for Lomax distribution, which include method of moment estimation (MOM), and method of L-moment estimation (L-MOM) and method of probability weighted moments (PWM) for type- 1 and type- 2 (proposed) for unbiased and biased estimators. Several models used from the Lomax distribution for data generating, for different sample sizes (small, medium, and large). The results were obtained by using simulation technique; programs written by using MATLAB program were used. To compare the performance for the methods used in this study, the mean squared error criterion (MSE) and total derivation (TD) for two parameters for the Lomax distribution were used as criterion to compare the performance for the methods. The results showing according to the most of the criterions ,that methods of probability weighted moments (PWM) for type -1 (proposed) for unbiased and biased estimators have the same result which obtained by another methods were used in this study.