Lehmann Type II Frechet Poisson Distribution: Properties, Inference and Applications as a Life Time Distribution

Adebisi Ade Ogunde; Gbenga Adelekan Olalude; Oyebimpe Emmanuel Adeniji; Kayode Balogun

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Lehmann Type II Frechet Poisson Distribution: Properties, Inference and Applications as a Life Time Distribution

机译：Lehmann II型Frechet Poisson分布：属性，推理和应用作为生命时间分布

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A new generalization of the Frechet distribution called Lehmann Type II Frechet Poisson distribution is defined and studied. Various structural mathematical properties of the proposed model including ordinary moments, incomplete moments, generating functions, order statistics, Renyi entropy, stochastic ordering, Bonferroni and Lorenz curve, mean and median deviation, stress-strength parameter are investigated. The maximum likelihood method is used to estimate the model parameters. We examine the performance of the maximum likelihood method by means of a numerical simulation study. The new distribution is applied for modeling three real data sets to illustrate empirically its flexibility and tractability in modeling life time data.

机译：定义和研究了称为Lehmann II型Frechet Poisson分布的Frechet分布的新泛化。研究了各种结构数学特性，包括普通时刻，不完整的时刻，生成功能，顺序统计，瑞尼熵，随机排序，Bonferroni和Lorenz曲线，平均值和中值偏差，应力 - 强度参数。最大似然方法用于估计模型参数。我们通过数值模拟研究检查最大似然方法的性能。新的分发应用于建模三个真实数据集，以验证在建模寿命时间数据中的灵活性和遗传性。

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《International Journal of Statistics and Probability》 |2021年第3期|共23页
作者
Adebisi Ade Ogunde; Gbenga Adelekan Olalude; Oyebimpe Emmanuel Adeniji; Kayode Balogun;
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中图分类概率论与数理统计;
关键词
Lehmann Type II Frechet Poisson distributionstress-strength parametergenerating functionsorder statisticsstochastic ordering;

机译：Lehmann II类Frechet Poisson分配 - 强度参数参数功能级级统计阶段顺序;

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Lehmann Type II Frechet Poisson Distribution: Properties, Inference and Applications as a Life Time Distribution

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