功率长度偏置Suja分布:性质及应用

IF 0.6 Q4 STATISTICS & PROBABILITY

Electronic Journal of Applied Statistical Analysis Pub Date : 2019-10-14 DOI:10.1285/I20705948V12N2P429

A. Al-Omari, Khaldoon M. Alhyasat, K. Ibrahim, M. Bakar

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引用次数: 12

摘要

本文提出了一种新的加权尺寸偏置双参数akash分布(WSBTPAD)。WSBTPAD是对尺寸偏置双参数Akash分布的一种新改进。推导并证明了WSBTPAD的主要统计特性。这些性质包括矩，特别是第n矩，矩生成函数，调和平均值，邦费罗尼曲线和洛伦兹曲线以及基尼指数。并给出了总体均值与中位数的平均偏差和Renyi熵。讨论了WSBTPAD随机变量之后的随机变量的可靠性分析。采用极大似然估计方法对分布参数进行估计。提供了来自wsbtpad4的订单统计信息的分布。

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Power Length-Biased Suja Distribution: Properties and Application

In this paper, a new distribution called weighted size biased two-parameterAkash distribution (WSBTPAD) is proposed. The WSBTPAD is a newmodication of the size biased two-parameter Akash distribution. The mainstatistical properties of the WSBTPAD are derived and proved. These prop-erties include the moments, particularly the rth moment, moment generatingfunction, harmonic mean, Bonferroni and Lorenz curves as well as the Giniindex. Also, the mean deviations of the population mean and median andthe Renyi entropy are presented. The reliability analysis of the random vari-able following WSBTPAD random variable are discussed. The method ofmaximum likelihood estimation is considered for estimating the parametersof the distribution. The distribution of order statistics from the WSBTPADare provided.

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来源期刊

Electronic Journal of Applied Statistical Analysis STATISTICS & PROBABILITY-

CiteScore

1.40

自引率

14.30%

发文量