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2023-01-01
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Copyright (c) 2023 Salah H. Abid, Nadia H Al-Noor, Ajm A Elewi
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Two Doubly Truncated Semicircular Distributions: Some Important Properties
Salah H. Abid
Nadia H Al-Noor
Ajm A Elewi
DOI: https://doi.org/10.47831/mjpas.v1i1.18
Keywords: Semicircular distributions; Exponentiated Weibull; Generalized Gompertz; Entropy; Stress-Strength reliability
Abstract
In this paper, two doubly truncated semicircular distributions, doubly truncated Semicircular Exponentiated Weibull ( ) and doubly truncated Semicircular Generalized Gompertz are presented. The most important statistical properties, including moments, characteristic function, trigonometric moments, quantile function, simulated data, reliability stress strength model, Shannon entropy, and relative entropy, are obtained.
