Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications

被引：27

作者：

ZeinEldin, Ramadan A. ^{[1
,2
]}

ul Haq, Muhammad Ahsan ^{[3
,4
]}

Hashmi, Sharqa ^{[4
,5
]}

Elsehety, Mahmoud ^{[6
]}

机构：

[1] King Abdulaziz Univ, Deanship Sci Res, Jeddah, Saudi Arabia

[2] Cairo Univ, Fac Grad Studies Stat Res, Giza, Egypt

[3] Natl Coll Arts, Qual Enhancement Cell, Lahore, Pakistan

[4] Univ Punjab, Coll Stat & Actuarial Sci, Lahore, Pakistan

[5] Women Univ LCWU, Lahore Coll, Lahore, Pakistan

[6] King Abdulaziz Univ, Jeddah, Saudi Arabia

来源：

COMPLEXITY | 2020年 / 2020卷

关键词：

EXPONENTIAL-DISTRIBUTION;

D O I：

10.1155/2020/1860813

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) distribution, is proposed. The APTIL distribution is more flexible than inverse Lomax distribution. We derived some mathematical properties including moments, moment generating function, quantile function, mode, stress strength reliability, and order statistics. Characterization related to hazard rate function is also derived. The model parameters are estimated using eight estimation methods including maximum likelihood, least squares, weighted least squares, percentile, Cramer-von Mises, maximum product of spacing, Anderson-Darling, and right-tail Anderson-Darling. Numerical results are calculated to compare the performance of these estimation methods. Finally, we used three real-life datasets to show the flexibility of the APTIL distribution.

引用

页数：15

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