阿尔法幂指数新威布尔Pareto分布的性质及其应用

IF 1.1 Q3 STATISTICS & PROBABILITY

Pakistan Journal of Statistics and Operation Research Pub Date : 2022-09-10 DOI:10.18187/pjsor.v18i3.3937

Wedad H. Aljuhani, Hadeel S. Klakattawi, L. Baharith

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引用次数: 1

摘要

本文在一种新的发展技术的基础上，提出了一个新的五参数模型，称为α幂指数新威布尔Pareto分布。我们导出了与所提出的分布有关的一些性质，包括矩、矩生成函数、分位数函数、平均剩余寿命和平均等待时间，以及新模型的阶统计量。使用最大似然法来估计模型参数。进行了一些模拟研究来研究估计的有效性。最后，我们使用了三个真实的数据集来展示引入的分布的灵活性。

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Alpha Power Exponentiated New Weibull-Pareto Distribution: Its Properties and Applications

In this paper, a new five-parameter model called alpha power exponentiated new Weibull-Pareto distribution is introduced based on a new developing technique. We derived some properties relating to the proposed distribution, including moments, moment generating function, quantile function, mean residual life and mean waiting time, and order statistics of the new model. The model parameters are estimated using the maximum likelihood method. Some simulation studies are performed to investigate the effectiveness of the estimates. Finally, we used three real-life data sets to show the flexibility of the introduced distribution.

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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.