文章基本信息

标题：Darna Distribution: Properties and Application
本地全文：下载
作者：Amer Ibrahim Al-Omari ; Doaa Shraa
期刊名称：Electronic Journal of Applied Statistical Analysis
电子版ISSN：2070-5948
出版年度：2019
卷号：12
期号：2
页码：520-541
DOI：10.1285/i20705948v12n2p520
出版社：University of Salento
摘要：In this paper, Darna distribution (DD) is suggested as a new continuousprobability density function. The statistical properties of the DD as the moments,shapes of the distribution, measures of skewness, kurtosis, coefficientof variation are presented as well as some calculations are provided. Also,the maximum likelihood estimators, the Bonferroni and Lorenz curves, andGini Index are obtained. The Stress - Strength Reliability, R´enyi entropy,mean and median deviations are derived and proved. The distribution oforder statistics are presented. The reliability analysis including hazard, reliability,odds, and reverse hazard functions are presented. An application ofWheaton River data is considered.
关键词：Mixture distribution;Variance;Bonferroni curve;Stress-Strength reliability;Lorenz curve;Gini index;R´enyi entropy;Stochastic ordering;Reliability analysis