Alpha Power Lomax Distribution: Properties and Application

被引：7

作者：

Bulut, Y. Murat ^{[1
]}

Dogru, Fatma Zehra ^{[2
]}

Arslan, Olcay ^{[3
]}

机构：

[1] Eskisehir Osmangazi Univ, Dept Stat, TR-26040 Eskisehir, Turkey

[2] Giresun Univ, Dept Stat, TR-28200 Giresun, Turkey

[3] Ankara Univ, Dept Stat, TR-06100 Ankara, Turkey

来源：

JOURNAL OF RELIABILITY AND STATISTICAL STUDIES | 2021年 / 14卷 / 01期

关键词：

Lomax distribution; alpha power transformation; maximum likelihood estimation;

D O I：

10.13052/jrss0974-8024.1412

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This study offers a newly proposed distribution called alpha power Lomax (APL) distribution as a new extension of the Lomax distribution using the alpha power transformation (APT) method. Some distributional properties of newly defined distribution such as density function, moments, hazard and survival functions, orders statistics etc. are investigated. Parameters of the APL distribution are estimated with the help of the maximum likelihood (ML) estimation method. The applicability of the APL distribution is conducted through a simulation study and a real data example.

引用

页码：17 / 31

页数：15

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