Parameter Estimation Methods and Applications of the Power Topp-Leone Distribution

Authors : Mohammed ELGARHY, Amal SOLİMAN, Heba NAGY

Pages : 731-746

Doi:10.35378/gujs.776277

View : 20 | Download : 7

Publication Date : 2022-06-01

Article Type : Research Paper

Abstract :We display the power Topp-Leone insert ignore into journalissuearticles values(PTL); distribution with two parameters. The following major features of the PTL distribution are investigated: quantile measurements, certain moment’s measures, residual life function, and entropy measure. Maximum likelihood, least squares, Cramer von Mises, and weighted least squares approaches are used to estimate the PTL parameters. A numerical illustration is prepared to compare the behavior of the achieved estimates. Data analysis is provided to scrutinize the flexibility of the PTL model matched with Topp-Leone distribution.
Keywords : Cramer von Mises estimators, Maximum likelihood estimators, Moments, Topp Leone distribution