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Quartic transmuted frechet distribution: properties and applications

Author(s)
Doaa abd Khalil ELhertaniy Department of Statistics University of the Holy Quran and Taseel of Science, Sudan
Abstract
In this article, I present the Quartic Transmuted Frechet distribution (QTFD), a new generalization of the Frechet distribution based Quartic on ranking transmutation map. Additionally, I have derived some properties of the proposed distribution including reliability and hazard functions, moments, moment generating function, quantile function and random number generation. The Maximum Likelihood technique was used to estimate the QTFD parameters. Finally, an application of the proposed distribution QTFD using two uncensored data is conducted to illustrate and compare with the base Frechet distribution, Transmuted Freshet distribution and Cubic Transmuted Freshet distribution. It has been observed that the proposed distribution QTFD provides a better fit for the two datasets as compared to the other distributions.
Publication Details
Page(s) 501-516
DOI DOI not available
Published Journal: Pakistan Journal of Statistics, Volume: 39, Issue: 4, Year: 2023

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Keywords
Moments, Frechet distribution, Cubic Transmuted, Quartic Transmuted, Quantile function.
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