Characterizations of continuous probability distributions occurring in physics and allied sciences by truncated moment

  • Authors

    • Mohammad Ahsanullah Professor, Department of Management Sciences, 1Rider University, Lawrenceville, NJ 08648, USA
    • Mohammad Shakil Professor, Department of Mathematics, Miami Dade College, Hialeah Campus, 1780 West 49th Street, Suite 2325, Fl. 33012, USA
    2015-05-24
    https://doi.org/10.14419/ijasp.v3i1.4612
  • Characterization, Continuous Probability Distribution, Reverse Hazard Rate, Truncated Moment.

  • Abstract

    A probability distribution can be characterized through various methods. Before a particular probability distribution model is applied to fit the real-world data, it is necessary to confirm whether the given continuous probability distribution satisfies the underlying requirements by its characterization. In this paper, characterizations of some continuous probability distributions occurring in physics and allied sciences have been established. We have considered the normal, Laplace, Lorentz, logistic, Boltzmann, Rayleigh, log-normal, Maxwell, Fermi-Dirac, and Bose-Einstein distributions, and characterized them by applying a truncated moment method; that is, by taking a product of reverse hazard rate and another function of the truncated point. It is hoped that the proposed characterizations will be useful for researchers in various fields of physics and allied sciences.

    Author Biography

    • Mohammad Shakil, Professor, Department of Mathematics, Miami Dade College, Hialeah Campus, 1780 West 49th Street, Suite 2325, Fl. 33012, USA
      Liberal Arts and Sciece Department (Mathematics), Professor

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    Additional Files

  • Received date: 2015-04-11

    Accepted date: 2015-05-04

    Published date: 2015-05-24