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In this paper, a Quartic Rank Transmuted Gumbel distribution (QTGD) to an extended the work of Quartic transmuted distribution families. QTGD increases the ability of the transmuted distributions to be flexible and facilitate the modelling of more complex data. We study the main statistical properties of the Quartic transmuted model, including its hazard rate function, moment-generating function, characteristic function, quantile function, entropy, and order statistics. Finally, an application of QTGD ,using two real data sets are used to examine the ability to apply it and to observe the performance of estimation techniques on a Quartic Rank Transmuted Gumbel(QTGD), Cubic Transmuted Gumbel(CTGD), Transmuted Gumbel(TGD) and Gumbel(GD) distributions. The observed results showed that QTGD gives better fit than CTGD,TGD, and GD distributions for the applied data sets

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This page is a summary of: Quartic Rank Transmuted Gumbel Distribution, SSRN Electronic Journal, January 2023, Elsevier,
DOI: 10.2139/ssrn.4416556.
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