Power length-biased Suja distribution: properties and application

被引：13
作者：
Al-Omari, Amer, I [1 ]
Alhyasat, Khaldoon M. [2 ]
Ibrahim, Kamarulzaman [2 ]
Abu Bakar, Mohd Aftar [2 ]
机构：
[1] Al Al Bayt Univ, Dept Math, Mafrag, Jordan
[2] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Ukm Bangi 43600, Selangor, Malaysia
来源：
ELECTRONIC JOURNAL OF APPLIED STATISTICAL ANALYSIS | 2019年 / 12卷 / 02期
关键词：
Suja distribution; Length-biased Suja distribution; Bonferroni curve; Lorenz curve; Gini index; Renyi entropy; Stochastic ordering; Reliability analysis; LINDLEY DISTRIBUTION;
D O I：
10.1285/i20705948v12n2p429
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：
In this paper, a new extension of length-biased Suja distribution (LBSD) called power length-biased Suja distribution (PLBSD) is suggested. The PLBSD is a two parameters distribution. The shape of the distribution is discussed and the moments of the new model are derived. Also, the harmonic mean and the Renyi entropy are presented and proved. The reliability, hazard, hazard rate, and odds functions of the PLBSD random variable are provided. Bonferroni and Lorenz curves and the Gini index as well as the stochastic ordering of the PLBSD are presented. The maximum likelihood method is used to estimate the parameters involved. The distributions of order statistics from the PLBSD are provided. The usefulness of the PLBSD for modeling reliability data is illustrated based on real data to show the performance of the new model.
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收藏
页码：429 / 452
页数：24
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