Kumaraswamy Esscher变换拉普拉斯分布：性质、应用和扩展

IF 1.1 Q3 STATISTICS & PROBABILITY

Pakistan Journal of Statistics and Operation Research Pub Date : 2023-03-06 DOI:10.18187/pjsor.v19i1.3818

Dais George, Rimsha H.

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引用次数: 0

摘要

本文引入了一种新的广义Esscher变换拉普拉斯分布族，即Kumaraswamy Esscher变换拉普拉斯分布。我们研究了该分布的各种性质，包括生存函数、风险率函数、累积风险率函数和反向风险率函数。利用估计的极大似然法对分布参数进行估计。本文还考虑了这种分布在碳纤维断裂应力上的实际应用。进一步，我们引入并研究了指数化和变指数化Kumaraswamy Esscher变换拉普拉斯分布。

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Kumaraswamy Esscher Transformed Laplace Distribution: Properties, Application and Extensions

In this article, we introduce a new generalized family of Esscher transformed Laplace distribution, namely the Kumaraswamy Esscher transformed Laplace distribution. We study the various properties of the distribution including the survival function, hazard rate function, cumulative hazard rate function and reverse hazard rate function. The parameters of the distribution are estimated using the maximum likelihood method of estimation. A real application of this distribution on breaking stress of carbon fibres is also considered. Further, we introduce and study the exponentiated and transmuted exponentiated Kumaraswamy Esscher transformed Laplace distributions.

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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.