Application of Modified Fractional Calculus Operators in Statistical Distributions

Abstract

In this paper we investigate several properties of statistical distributions using Saigo's modified fractional integral operator. We here define a new family of distribution involving product combinations of elementary functions and hypergeometric functions, then apply it to certain generalized forms of univariate as well as multivariate statistical distributions. Further results giving the expectations, characteristic function, moment generating function, cummulative function of such special function distributions are also obtained.