A weighted Topp-Leone G family of distributions: properties, applications for modelling reliability data and different method of estimation

Authors : Majid HASHEMPOUR

Pages : 1420-1441

Doi:10.15672/hujms.795721

View : 23 | Download : 9

Publication Date : 2022-10-01

Article Type : Research Paper

Abstract :Based on the Topp-Leone distribution, we propose a new family of continuous distributions with one shape parameter called the weighted Topp-Leone family. We study some basic properties including quantile function, asymptotic, mixture for cdf and pdf, various entropies and order statistics.Then we study Lindley case as special case with more details. The maximum likelihood estimates of parameters are compared with various methods of estimations by conducting a simulation study. Finally, three real data sets are illustration the purposes.
Keywords : Topp Leone distribution, maximum likelihood, moment, simulation, quantile function