On the Uniqueness and Structural Identification of Some Univariate Continuous Probability Distributions
Abstract
This paper examines the characterizations of five recent univariate continuous probability distributions (2022-2025) that were proposed relatively recently. These characterizations are based on: (i) a simple relationshipbetween two truncated moments; (ii) reverse hazard function. It should be mentioned that for the characterization(i) the cumulative distribution function need not have a closed form and depends on the solutionof a first order differential equation, which provides a bridge between probability and differential equation
Fields of Study & Subjects
Statistical Distribution Estimation and Applications
Probability and Statistical Research
Probability and Risk Models
Publication details
- Journal / source
- Pakistan Journal of Statistics and Operation Research
- Pages
- 21–32
- Publication date
- 3 March 2026
- Language
- EN