Characterizations of Truncated Univariate Continuous Distributions Introduced by Lorenzo Zaninetti, I-XV
DOI:
https://doi.org/10.19139/soic-2310-5070-2808Keywords:
Characterizations, Conditional expectation, Continuous distributions, Hazard function, Reverse hazard function, Truncated momentsAbstract
This paper deals with various characterizations of 15 truncated univariate continuous distributions proposed by Lorenzo Zaninetti from 2019-2025, all published in the "International Journal of Astronomy and Astrophysics". Zaninetti masterfully and with a lot of super complicated derivations presents the cdfs and pdfs for these distributions. The present work may be considered as a supplement to Zaninetti's excellent works. These characterizations are based on: $\left( i\right) $ a simple relationship between two truncated moments and $\left( ii\right) $ the reverse hazard function and. It should be mentioned that for the characterization $\left( i\right) $ the cumulative distribution function need not to have a closed form and depends on the solution of a first order differential equation, which provides a bridge between probability and differential equation.Downloads
Published
2026-07-20
How to Cite
Hamedani, G. G., & Roshani, A. (2026). Characterizations of Truncated Univariate Continuous Distributions Introduced by Lorenzo Zaninetti, I-XV. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2808
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Research Articles
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Copyright (c) 2026 G. G. Hamedani, Amin Roshani
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