MARSHALL-OLKIN LINDLEY-LOG-LOGISTIC DISTRIBUTION: MODEL, PROPERTIES AND APPLICATIONS

被引：5

作者：

Moakofi, Thatayaone ^{[1
]}

Oluyede, Broderick ^{[1
]}

Makubate, Boikanyo ^{[1
]}

机构：

[1] Botswana Int Univ Sci & Technol, Math & Stat Sci, Plot 10071, Boseja, Palapye, Botswana

来源：

MATHEMATICA SLOVACA | 2021年 / 71卷 / 05期

关键词：

Lindley distribution; Weibull distribution; generalized distribution; maximum likelihood estimation; WEIBULL; FAMILY;

D O I：

10.1515/ms-2021-0052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors introduce a new generalized distribution called the Marshall-Olkin Lindley-Log-logistic (MOLLLoG) distribution and discuss its distributional properties. The properties include hazard function, quantile function, moments, conditional moments, mean and median deviations, Bonferroni and Lorenz curves, distribution of the order statistics and Renyi entropy. A Monte Carlo simulation study was used to examine the bias, relative bias and mean square error of the maximum likelihood estimators. The betterness of the new distribution compared to other distributions is illustrated by means of two real life datasets. (C) 2021 Mathematical Institute Slovak Academy of Sciences

引用

页码：1269 / 1290

页数：22

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