- Gazi University Journal of Science
- Vol: 35 Issue: 2
- Parameter Estimation Methods and Applications of the Power Topp-Leone Distribution
Parameter Estimation Methods and Applications of the Power Topp-Leone Distribution
Authors : Mohammed Elgarhy, Amal Soliman, Heba Nagy
Pages : 731-746
Doi:10.35378/gujs.776277
View : 10 | Download : 4
Publication Date : 2022-06-01
Article Type : Research
Abstract :We display the power Topp-Leone (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