A. Fagbamigbe, Pinkie Melamu, B. Oluyede, B. Makubate
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引用次数: 4
摘要
介绍了一种新的RBLP分布，并探讨了RBLP分布的性质。这个新的分布包含了几个新的和众所周知的子模型，包括Lindley- poisson, RB-Lindley和Lindley分布。给出了该分布的一些统计性质，包括危险率函数、矩和条件矩。给出了平均偏差、Lorenz曲线和Bonferroni曲线、R e nyi熵和阶统计量的分布。采用极大似然估计技术对模型参数进行估计。最后，将该模型应用于实际数据集，以说明所提出分布的有效性。关键词:广义分布;Ristic and Balakrishnan, Gamma分布，Lindley分布，极大似然估计;AMS 2010数学学科分类:62E15;二次60 e05
The Ristić and Balakrishnan Lindley-Poisson Distribution:Model, Theory and Application
A new distribution called Ristic and Balakrishnan Lindley-Poisson (RBLP) distribution is introduced and its properties are explored. This new distribution contains several new and well known sub-models, including Lindley-Poisson, RB-Lindley and Lindley distributions. Some statistical properties of the proposed distribution including hazard rate function, moments and conditional moments are presented. Mean deviations, Lorenz and Bonferroni curves, R e nyi entropy and distribution of the order statistics are given. Maximum likelihood estimation technique is used to estimate the model parameters. Finally, application of the model to a real dataset is presented to illustrate the usefulness of the proposed distribution. Keywords: Generalized Distribution; Ristic and Balakrishnan, Gamma Distribution, Lindley Distribution, Maximum Likelihood Estimation AMS 2010 Mathematics Subject Classification: 62E15; Secondary 60E05
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