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The Topp-Leone Generalized Inverted Exponential Distribution with Real Data Applications

Department of Statistics, College of Science, University of Jeddah, Jeddah 22254, Saudi Arabia
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Entropy 2020, 22(10), 1144; https://doi.org/10.3390/e22101144
Received: 19 September 2020 / Revised: 30 September 2020 / Accepted: 7 October 2020 / Published: 11 October 2020
(This article belongs to the Section Information Theory, Probability and Statistics)
In this article, a new three parameters lifetime model called the Topp-Leone Generalized Inverted Exponential (TLGIE) Distribution is introduced. Various properties of the model are derived, including moments, quantile function, survival function, hazard rate function, mean deviation and mode. The method of maximum likelihood is used to estimate the unknown parameters. The properties of the maximum likelihood estimators using Fisher information matrix are studied. Three real data sets are applied for illustrative purpose of this study. View Full-Text
Keywords: Topp-Leone distribution; generalized inverted exponential; Rényi entropy; maximum likelihood estimator; fisher information matrix; Monte Carlo simulation Topp-Leone distribution; generalized inverted exponential; Rényi entropy; maximum likelihood estimator; fisher information matrix; Monte Carlo simulation
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MDPI and ACS Style

Al-Saiary, Z.A.; Bakoban, R.A. The Topp-Leone Generalized Inverted Exponential Distribution with Real Data Applications. Entropy 2020, 22, 1144. https://doi.org/10.3390/e22101144

AMA Style

Al-Saiary ZA, Bakoban RA. The Topp-Leone Generalized Inverted Exponential Distribution with Real Data Applications. Entropy. 2020; 22(10):1144. https://doi.org/10.3390/e22101144

Chicago/Turabian Style

Al-Saiary, Zakeia A., and Rana A. Bakoban. 2020. "The Topp-Leone Generalized Inverted Exponential Distribution with Real Data Applications" Entropy 22, no. 10: 1144. https://doi.org/10.3390/e22101144

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