The Marshall-Olkin Gumbel-Lomax distribution: properties and applications

被引：5
|
作者：
Nwezza, Elebe Emmanuel [1 ]
Ugwuowo, Fidelis Ifeanyi [2 ]
机构：
[1] Alex Ekwueme Fed Univ Ndufu Alike Ikwo, Dept Math Comp Sci Stat Informat, Ndufu Alike, Nigeria
[2] Univ Nigeria Nsukka, Dept Stat, Nsukka, Nigeria
来源：
HELIYON | 2020年 / 6卷 / 03期
关键词：
Mathematics; Marshall-Olkin Gumbel-G; Lomax distribution; Trimmed L-moments; Mean residual life; Entropy; Maximum likelihood;
D O I：
10.1016/j.heliyon.2020.e03569
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 introduce a new flexible five parameter lifetime distribution called Marshall-Olkin Gumbel-Lomax distribution. Some characterizations of the distribution such as the quantile function, moments, Trimmed L-moments, moment generating function, and order statistics are derived. The unknown parameters of the new distribution are estimated using the maximum likelihood approach. And the performance of the MLEs is examined through simulation studies. The potentials of the new distribution are illustrated using two real life data sets.
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页数：13
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