International Journal of Mathematical Analysis Vol. 9, 2015, no. 21, 1031 - 1048 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ijma.2015.5113 Distribution of the Product of Bessel Distribution of Second Kind and Gamma Distribution - Properties and Characterization M. Ahsanullah 1 , M. Shakil 2 , B. M. Golam Kibria 3 , and F. George 4 1 Rider University, Lawrenceville, NJ 08648, USA 2 Miami Dade College, Hialeah, FL 33012, USA 3,4 Florida International University, Miami, Florida 33199, USA Copyright © 2015 M. Ahsanullah, M. Shakil, B. M. Golam Kibria, and F. George. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, a new distribution is introduced by taking the product of the probability density functions of Bessel distribution of second kind and gamma distribution. Some distributional properties and a characterization of the proposed product distribution are provided. The percentile points for some selected values of parameters are also presented. It is hoped that the proposed product distribution will be useful in many applied research. Mathematics Subject Classification: 33E20, 60E05, 62E10, 62E15 Keywords: Bessel distribution of second kind; Characterization; Gamma distribution; Modified Bessel functions of first and second kinds 1. Introduction In recent years, many researchers have conducted significant research on the distributions of the product of random variables and their applications. These distributions are symmetric and skewed, and have applications in many fields of applied sciences, such as