Open AccessOn Applications of Some Special Functions in Statistics
Author(s) -
Radhe Shyam Prajapat,
Indu Bala Bapna
Publication year - 2020
Publication title -
international journal of recent technology and engineering
Language(s) - English
Resource type - Journals
ISSN - 2277-3878
DOI - 10.35940/ijrte.f7899.038620
Subject(s) - bessel function , laguerre polynomials , laplace transform , special functions , moment generating function , mathematics , probability density function , gamma function , generalized gamma distribution , bessel polynomials , cumulative distribution function , moment (physics) , expected value , bessel process , function (biology) , gamma distribution , mathematical analysis , orthogonal polynomials , statistics , physics , classical orthogonal polynomials , macdonald polynomials , gegenbauer polynomials , classical mechanics , evolutionary biology , biology
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