The Transmuted Marshall-Olkin Fr\'{e}chet Distribution: Properties and Applications

By Ahmed Z. Afify, G. Hamedani, Indranil K. Ghosh, Mohamed E. Mead. 2015

62 citations recorded by the source corpus.

This paper introduces a new four-parameter lifetime model, which extends the Marshall-Olkin Fr\'{e}chet distribution introduced by Krishna et al. (2013), called the transmuted Marshall-Olkin Fr\'{e}chet distribution. Various structural properties including ordinary and incomplete moments, quantile and generating function, R\'{e}nyi and q-entropies and order statistics arederived. The maximum likelihood method is used to estimate the model parameters. We illustrate the superiority of the proposed distribution over other existing distributions in the literature in modeling two real life data sets.

Subfields: Global and Planetary Change, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/57aa34659987e65cc7d3026906859eb75df36c20

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In Global and Planetary Change

In Statistics and Probability

Citations in the corpus

The four-parameter Burr XII distribution: Properties, regression model, and applications (2018, background): “…and Afify, 2016), transmuted complementary Weibull geometric (TCWG) (Afify et al., 2014), exponentiated transmuted generalized Rayleigh (ETGR) (Afify et al., 2015b), transmutedMarshall-Olkin Fréchet (TMOFr) (Afify et al., 2015a), beta exponentiated Burr XII (BEBXII) (Mead, 2014), transmuted…”
The Kumaraswamy Transmuted-G Family of Distributions: Properties and Applications (2021, methodology): “In Table 4, we compare the fits of the Kw-TE, WFr, ETGR, TLL, TMOFr, TFr and MOFr models.”
The Beta Exponential Fréchet Distribution with Applications (2017, methodology): “The Marshall-Olkin Fréchet Distribution.”
The Weibull Fréchet distribution and its applications (2016, methodology): “We compare the fits of the WFr, Kumaraswamy Fr (KFr) [12], exponentiated Fr (EFr) [15], beta Fr (BFr) [14], gamma extended Fr (GEFr) [19], transmuted Marshall–Olkin Fr (TMOFr) [2], transmuted Fr (TFr) [11], Marshall–Olkin Fr (MOFr) [10] and Fr distributions.”
On Six-Parameter Frechet Distribution: Properties and Applications (2016, methodology): “In this paper, We propose a new six-parameter distribution, called the Kumaraswamy transmuted Marshall-Olkin Fréchet (Kw-TMOF) distribution, which extends the transmuted Marshall-Olkin Fréchet (TMOF) distribution (Afify et al., 2015).”
The Marshall-Olkin Generalized-G Family of Distributions with Applications (2018, methodology): “(2012), transmuted complementary Weibull geometric (TCWG) of Afify et al. (2014), transmuted Weibull Lomax (TWLo) of Afify et al. (2015c), Kumaraswamy exponentiated Burr XII (KwEBXII) of Mead and Afify (2017), generalized inverse gamma of Mead (2015), beta exponentiated Burr XII (BEBXII) of Mead (20”