一种新的Burr型X密度互反系统及其在工程、可靠性、经济性和医学中的应用

IF 1.1 Q3 STATISTICS & PROBABILITY

Pakistan Journal of Statistics and Operation Research Pub Date : 2023-06-02 DOI:10.18187/pjsor.v19i2.4310

Mohamed K. A. Refaie, Emadeldin I. A. Ali

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引用次数: 0

摘要

根据youof等人(2017a)，定义和研究了一个新的单参数G族分布，称为倒数Burr X-G族。基于著名的Burr型XII模型——互反Burr X-Burr XII分布，对特殊成员进行了研究和分析。推导了新家族的相关性质，包括普通矩、剩余寿命矩、反向剩余寿命矩和不完全矩，并对部分性质进行了数值分析。四种不同的应用，以现实生活中的数据集提出，以说明新的家庭的适用性和重要性。在实际应用和真实数据的统计建模中，新家族已经被证明具有很强的能力和灵活性。

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A New Reciprocal System of Burr Type X Densities with Applications in Engineering, Reliability, Economy, and Medicine

Depending on Yousof et al. (2017a), a new one parameter G family of distributions called the reciprocal Burr X-G family is defined and studied. Special member based on the well-known Burr type XII model called the reciprocal Burr X-Burr XII distribution is studied and analyzed. Relevant properties of the new family including ordinary moments, moment of the residual life, moment of the reversed residual life and incomplete moments are derived and some of them are numerically analyzed. Four different applications to real-life data sets are presented to illustrate the applicability and importance of the new family. The new family has proven to be highly capable and flexible in practical applications and statistical modeling of real data.

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来源期刊

Pakistan Journal of Statistics and Operation Research STATISTICS & PROBABILITY-

CiteScore

3.30

自引率

26.70%

发文量

期刊介绍： Pakistan Journal of Statistics and Operation Research. PJSOR is a peer-reviewed journal, published four times a year. PJSOR publishes refereed research articles and studies that describe the latest research and developments in the area of statistics, operation research and actuarial statistics.