On Applications of Some Special Functions in Statistics

Abstract

In this paper we will introduce some probability distributions with help of some special functions like Gamma, k- Gamma functions, Beta, k-Beta functions, Bessel, modified Bessel functions and Laguerre polynomials and in mathematical analysis used Laplace transform. We will also obtain their cumulative density function, expected value, variance, Moment generating function and Characteristic function. Some characteristics and real life applications will be computed in tabulated for these distributions