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

Received date: October 21, 2013

Accepted date: October 23, 2013

Published date: October 28, 2013

DOI:

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

Downloads

Received date: October 21, 2013

Accepted date: October 23, 2013

Published date: October 28, 2013