2016
DOI: 10.18187/pjsor.v12i2.1327
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On Six-Parameter Frechet Distribution: Properties and Applications

Abstract: This paper introduces a new generalization of the transmuted Marshall-Olkin Fréchet distribution of , using Kumaraswamy generalized family. The new model is referred to as Kumaraswamy transmuted Marshall-Olkin Fréchet distribution. This model contains sixty two sub-models as special cases such as the Kumaraswamy transmuted Fréchet, Kumaraswamy transmuted Marshall-Olkin, generalized inverse Weibull and Kumaraswamy Gumbel type II distributions, among others. Various mathematical properties of the proposed distri… Show more

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Cited by 25 publications
(6 citation statements)
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“…The two real datasets were reported by [20]. Many other symmetric and asymmetric useful real-life datasets can be found in [21][22][23][24][25][26][27][28]. Initial density shape is explored using the nonparametric "Kernel density estimation (KDE)" approach in Figure 7.…”
Section: Modeling Failure and Service Timesmentioning
confidence: 99%
“…The two real datasets were reported by [20]. Many other symmetric and asymmetric useful real-life datasets can be found in [21][22][23][24][25][26][27][28]. Initial density shape is explored using the nonparametric "Kernel density estimation (KDE)" approach in Figure 7.…”
Section: Modeling Failure and Service Timesmentioning
confidence: 99%
“…However many other useful real data sets can be found in [1,[18][19][20][27][28][29][30][31]. Other real data sets for regression modeling analysis can be found in [5,6,24,33,[39][40][41]46]. In order to compare the fits of the QP-BXEW model with other Weibull extensions, we consider the the Anderson-Darling ( 1 ) and Cramér-Von Mises ( 2 ) statistics which are used to determine how closely a specific CDF (or PDF) fits the empirical distribution of a given data set, where z i = F (y k1 ) and the y k1 's values are the ordered observations.…”
Section: Applicationsmentioning
confidence: 99%
“…The Odd Lindley Frechet Distribution was studied by Korkmaz et al (2017), alpha power transformed Frechet was studied by Suleman et al (2019) and Mead and Abd-Eltawab (2014) studied Kumaraswamy Frechet. Afify et al (2016a) studied Weibull Frechet, Kumaraswamy Marshall-Olkin Frechet distribution was developed by Afify et al (2016b), Kumaraswamy transmuted Marshall-Olkin Frechet was studied by Yousof et al (2016), Beta Transmuted Frechet distribution was developed and studied by Afify et al (2016c). Yousof et al (2018b) developed and studied the Topp Leone Generated Frechet distribution and Odd log-logistic Frechet was studied by Yousof et al (2018a).…”
Section: Introductionmentioning
confidence: 99%