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Abstract

This paper deals with various characterizations of certain univariate continuous distributions proposed in (2023-2024). These characterizations are based on: (i) a simple relationship between two truncated moments; (ii) the hazard function; (iii) reverse hazard function and (iv) conditional expectation of a single function of the random variable. It should be mentioned that for the characterization (i) the cumulative distribution function need not have a closed form and depends on the solution of a first order differential equation, which provides a bridge between
probability and differential equation.

Keywords

Characterizations Conditional expectation Continuous distributions Hazard function Reverse hazard function

Article Details

How to Cite
Hamedani, G. G., Roshani, A., & Shafique Butt, N. (2024). Characterizations of Certain (2023-2024) Introduced Univariate Continuous Distributions. Pakistan Journal of Statistics and Operation Research, 20(4), 661-692. https://doi.org/10.18187/pjsor.v20i4.4618