<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Various characterizations of the distributions of the ratio of two independent gamma and exponential random variables as well as that of two independent Weibull random variables are presented. These characterizations are based, on a simple relationship between two truncated moments ; on hazard function ; and on functions of order statistics.</p></abstract>

Various characterizations of the distributions of the ratio of two independent gamma and exponential random variables as well as that of two independent Weibull random variables are presented. These characterizations are based, on a simple relationship between two truncated moments ; on hazard function ; and on functions of order statistics.

Characterizations of Distributions of Ratios of Certain Independent Random Variables

Department of Mathematics, Statistics and Computer Science Marquette University Milwaukee, WI 53201-1881

Journal of Applied Mathematics, Statistics and Informatics

Various characterizations of the distributions of the ratio of two independent gamma and exponential random variables as well as that of two independent...

Characterizations of Distributions of Ratios of Certain Independent Random Variables

Published Online: Aug 24, 2013

Page range: 15 - 25

DOI: https://doi.org/10.2478/jamsi-2013-0002

This content is open access.