On Applications of Some Special Functions in Statistics
Radhe Shyam Prajapat1, Indu Bala Bapna2
1Radhe Shyam Prajapat*, Department of Mathematics M. L. V. Govt. PG College, Bhilwara, Rajasthan, India.
2Indu Bala Bapna, Department of Mathematics M. L. V. Govt. PG College, Bhilwara, Rajasthan, India.
Manuscript received on February 10, 2020. | Revised Manuscript received on February 20, 2020. | Manuscript published on March 30, 2020. | PP: 1902-1908 | Volume-8 Issue-6, March 2020. | Retrieval Number: F7899038620/2020©BEIESP | DOI: 10.35940/ijrte.F7899.038620
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
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.
Keywords: Gamma Function, Probability Distribution, Moment Generating Function, Laplace Transforms.
Scope of the Article: Computer Science and Its applications.