International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 18, Pages 2977-2989
On the product and ratio of Bessel random variables
1Department of Statistics, College of Arts and Sciences, University of Nebraska, Lincoln 68583-0712, NE, USA
2Department of Mathematics and Statistics, College of Arts and Sciences, Bowling Green State University, Bowling Green 43403-0221, OH, USA
Received 20 January 2005
Copyright © 2005 Saralees Nadarajah and Arjun K. Gupta. 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.
The distributions of products and ratios of random variables are of interest in many areas of the sciences. In this paper, the exact distributions of the product and the ratio are derived when and are independent Bessel function random variables. An application of the results is provided by tabulating the associated percentage points.