文章基本信息

标题：On a Probability Distribution with Fractional Moments arising from Generalized Pearson System of Differential Equation and its Characterization
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作者：Mohammad Ahsanullah ; Mohammad Shakil ; B.M. Golam Kibria 等
期刊名称：International Journal of Advanced Statistics and Probability
电子版ISSN：2307-9045
出版年度：2013
卷号：1
期号：3
页码：132-141
DOI：10.14419/ijasp.v1i3.1435
出版社：Journal of Advanced Computer Science & Technology
摘要：This paper derives a probability distribution with fractional moments arising from generalized Pearson system of differential equation. The expressions for the probability density function, cumulative distribution function and moments have been obtained. The plots for the probability density function, cumulative distribution function, and survival and hazard functions are also provided. Some distributional relationships of the proposed distribution have been established. Characterization of the new distribution is given. It is hoped that the findings of the paper will be useful for researchers in different fields like economics, engineering, environmental science, finance, medical sciences and physical sciences among others, where fractional moments become required to be computed if the integer moments k>=1 do not exist.