On a Probability Distribution with Fractional Moments arising from Generalized Pearson System of Differential Equation and its Characterization

  • Authors

    • Mohammad Ahsanullah Professor Department of Management Sciences Rider University Lawrenceville, NJ 08648, USA
    • Mohammad Shakil Professor, Department of Mathematics, Miami Dade College, Hialeah Campus, 1800 West 49th Street, Suite 4311-4, Fl. 33012, USA
    • B.M. Golam Kibria Professor Department of Mathematics and Statistics Florida International University University Park, Miami, FL 33199, USA
    2013-10-28
    https://doi.org/10.14419/ijasp.v1i3.1435

  • Abstract

    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.

    Author Biography

    • Mohammad Shakil, Professor, Department of Mathematics, Miami Dade College, Hialeah Campus, 1800 West 49th Street, Suite 4311-4, Fl. 33012, USA
      Department of Mathematics (LAS), Professor

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  • Received date: 2013-10-21

    Accepted date: 2013-10-23

    Published date: 2013-10-28