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

机译：Marshall-Olkin Gumbel-Lomax分布：属性和应用

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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.

机译：我们引入了一种新的灵活的五参数寿命分布，称为Marshall-Olkin Gumbel-Lomax分布。得出了一些分布特征，例如分位数函数，矩，修整的L矩，矩生成函数和阶次统计量。使用最大似然法估计新分布的未知参数。并且通过仿真研究检查了MLE的性能。使用两个实际数据集说明了新分布的潜力。

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期刊名称 Heliyon
作者
Elebe Emmanuel Nwezza; Fidelis Ifeanyi Ugwuowo;
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作者单位

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年(卷),期 2020(6),3
年度 2020
页码 -1
总页数 13
原文格式 PDF
正文语种
中图分类
关键词
Mathematics; Marshall-Olkin Gumbel-G; Lomax distribution; Trimmed L-moments; Mean residual life; Entropy; Maximum likelihood;

机译：数学;Marshall-Olkin Gumbel-G;Lomax分布;L-矩修剪;平均剩余寿命;熵;最大似然;

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专利

1. The Marshall-Olkin Right Truncated Fr&eacutechet-Inverted Weibull Distribution: Its Properties and Applications [J] . Nora Nader, M. A. El-Damcese, B. S. El-Desouky Open Journal of Modelling and Simulation . 2021,第1期

机译：Marshall-Olkin右截断的FR＆amp; eacutechet-inverted weibull分布：其属性和应用程序
2. The Marshall-Olkin Right Truncated Freacutechet-Inverted Weibull Distribution: Its Properties and Applications [J] . Nora Nader, M. A. El-Damcese, B. S. El-Desouky 建模与仿真（英文） . 2021,第001期

机译：Marshall-Olkin右截断FR＆Eacutechet-inverted Weibull分布：其属性和应用程序
3. The Exponentiated Generalized Marshall-Olkin Family of Distribution: Its Properties and Applications [J] . Laba Handique, Subrata Chakraborty, Thiago A. N. de Andrade Annals Data Science . 2019,第3期

机译：指数广义Marshall-Olkin分布族：其性质和应用
4. Generalized Marshall-Olkin Distributions and Copulas, and Related Bivariate Aging Properties [C] . XIAOHU LI, FRANCO PELLEREY Proceedings of the 7th international conference on "mathematical methods in reliability": theory, methods, applications. . 2011

机译：广义Marshall-Olkin分布和Copulas，以及相关的双变量老化属性
5. The Lindley power series class of distributions: Model, properties and applications. [D] . Warahena Liyanage, Gayan Jeewapriya DeAlwis Gunathilake. 2015

机译：Lindley幂级数分布的类别：模型，属性和应用。
6. Exponentiated power generalized Weibull power series family of distributions: Properties estimation and applications [O] . Maha A. Aldahlan, Farrukh Jamal, Christophe Chesneau, 2020

机译：指数化电力广义威布尔电力系列分布系列：属性估计和应用
7. The Marshall-Olkin exponentiated generalized G family of distributions: properties, applications, and characterizations [O] . Haitham M. Yousof, Mahdi Rasekhi, Morad Alizadeh, 2019

机译：Marshall-Olkin指数推广G系列分布：属性，应用和特征
8. Stability of a Characterization of the Bivariate Marshall-Olkin Distribution [R] . Baxter, L. A., Rachev, S. T. 1991

机译：二元marshall-Olkin分布特征的稳定性

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

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