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Discrete Odd Inverse Pareto Exponential Distribution: Properties, Estimation and Applications 离散奇逆Pareto指数分布:性质、估计及应用
Pub Date : 2023-09-27 DOI: 10.60101/past.2023.250004
Pornpop Saengthong, Palakorn Seenoi
In this paper, a new discrete distribution named as the discrete odd inverse Pareto exponential (DOIPEx) distribution is introduced for modeling count data. The proposed distribution can be viewed as a generalization of the discrete Marshall-Olkin exponential, discrete exponentiate exponential, and discrete exponential distributions. Some basic distributional properties, quantile function, hazard and reversed hazard functions, and order statistics are derived. Estimation of the parameters is illustrated using the maximum likelihood method (MLE), and three real data sets are discussed to demonstrate the usefulness and applicability of the DOIPEx distribution.
本文引入了一种新的离散分布,即离散奇反帕累托指数分布,用于计数数据的建模。所提出的分布可以看作是离散马歇尔-奥尔金指数分布、离散指数指数分布和离散指数分布的推广。导出了一些基本的分布性质、分位数函数、危害函数和逆危害函数以及序统计量。利用极大似然法(MLE)对参数进行估计,并讨论了三个真实数据集,以证明DOIPEx分布的有效性和适用性。
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Progress in Applied Science and Technology
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