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Entropy
Volume 28
Issue 2
10.3390/e28020161
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Article

New Modified Generalized Inverted Exponential Distribution and Its Applications

by
Zakeia A. Al-Saiary
1,* and
Hana H. Al-Jammaz
1,2
1
Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 22254, Saudi Arabia
2
Department of Statistics and Operations Research, College of Science, Qassim University, Buraydah 51482, Saudi Arabia
*
Author to whom correspondence should be addressed.
Entropy 2026, 28(2), 161; https://doi.org/10.3390/e28020161 (registering DOI)
Submission received: 2 December 2025 / Revised: 19 January 2026 / Accepted: 26 January 2026 / Published: 31 January 2026
(This article belongs to the Special Issue Statistical Inference: Theory and Methods)
Versions Notes

Abstract

In this paper, a statistical model with three parameters is proposed which is called New Modified Generalized Inverted Exponential Distribution (MGIE). In addition, several statistical characteristics of the MGIE distribution are obtained, including quantile function, median, moments, mode, mean deviation, harmonic mean, reliability, hazard and odds functions and Rényi entropy. Moreover, the estimators of parameters are found using the maximum likelihood estimation method. A simulation study using the Monte Carlo method is performed to assess the behavior of the parameters. Finally, three real data sets are applied to demonstrate the importance of the proposed distribution.
Keywords: modified distribution; generalized inverted exponential; Rényi entropy; maximum likelihood estimation; Monte Carlo simulation modified distribution; generalized inverted exponential; Rényi entropy; maximum likelihood estimation; Monte Carlo simulation

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MDPI and ACS Style

Al-Saiary, Z.A.; Al-Jammaz, H.H. New Modified Generalized Inverted Exponential Distribution and Its Applications. Entropy 2026, 28, 161. https://doi.org/10.3390/e28020161

AMA Style

Al-Saiary ZA, Al-Jammaz HH. New Modified Generalized Inverted Exponential Distribution and Its Applications. Entropy. 2026; 28(2):161. https://doi.org/10.3390/e28020161

Chicago/Turabian Style

Al-Saiary, Zakeia A., and Hana H. Al-Jammaz. 2026. "New Modified Generalized Inverted Exponential Distribution and Its Applications" Entropy 28, no. 2: 161. https://doi.org/10.3390/e28020161

APA Style

Al-Saiary, Z. A., & Al-Jammaz, H. H. (2026). New Modified Generalized Inverted Exponential Distribution and Its Applications. Entropy, 28(2), 161. https://doi.org/10.3390/e28020161

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