On Characterizations of Certain Continuous Distributions

Abstract

This paper presents some characterizations and properties of certain new Distributions. First, various characterizations of the Distribution of the ratio of two independent Maxwell and Rayleigh random variables are presented. Then we establish characterizations results related to two Distributions, Modified Burr XII - Geometric Distribution (MBGD) and Folded t Distribution. We also characterize a Distribution due to Bondesson (1979). These characterizations are based on: (i) a simple relationship between two Truncated moments; (ii) conditional expectations of functions of Order Statistics and (iii) conditional expectation of a power of a random variable.