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

被引：9
作者：
Elgarhy, Mohammed [1 ]
Hassan, Amal [2 ]
Nagy, Heba [2 ]
机构：
[1] Algharbia Higher Inst Commercial Sci, Al Mahalla Al Kubra 31951, Algharbia, Egypt
[2] Cairo Univ, Dept Math Stat, Dokki Fac Grad Studies Stat Res, 5 Dr Ahmed Zoweil St, Giza 12613, Egypt
来源：
GAZI UNIVERSITY JOURNAL OF SCIENCE | 2022年 / 35卷 / 02期
关键词：
Cramer von Mises estimators; Maximum likelihood estimators; Moments; Topp-Leone distribution; MOMENTS; FAMILY;
D O I：
10.35378/gujs.776277
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
引用
收藏
页码：731 / 746
页数：16
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