Comparing discrete Pareto populations under a fixed effects model

Authors : Mohammad BARATNİA, Abdolhamid REZAEİ ROKNABADY, Mahdi DOOSTPARAST

Pages : 529-545

Doi:10.15672/hujms.820849

View : 21 | Download : 9

Publication Date : 2023-03-31

Article Type : Research Paper

Abstract :The discrete Pareto distribution can be considered as a lifetime distribution and then is widely used in practice. It follows the power law tails property which makes it as a candidate model for natural phenomena. This paper deals with comparison of discrete Pareto populations by proposing a non-linear fixed effects model. Estimators for the factor effects are derived in explicit expressions. Stochastic properties of the estimators are studied in details. A test for assessing the homogeneity of populations is proposed. Illustrative examples are also given. The proposed model is an alternative model for analyzing data sets in which the linear models have poor performance.
Keywords : Non linear models, one way classification, fixed effects, estimation, discrete Pareto population