Exponentiated Transmuted Generalized Raleigh Distribution: A New Four Parameter Rayleigh Distribution

By Ahmed Z. Afify, Zohdy M. Nofal, A. H. N. Ebraheim. 2015

66 citations recorded by the source corpus.

This paper introduces a new four parameter Rayleigh distribution which generalizes the transmuted generalized Rayleigh distribution introduced by Merovci (2014). The new model is referred to as exponentiated transmuted generalized Rayleigh (ETGR) distribution. Various mathematical properties of the new model including ordinary and incomplete moments, quantile function, generating function and Renyi entropy are derived. We proposed the method of maximum likelihood for estimating the model parameters and obtain the observed information matrix. Two real data sets are used to compare the flexibility of the new model versus other models.

Subfields: Global and Planetary Change, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/7c162a74ec53ea02b4ebdcf2f327f5850ba5440c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Global and Planetary Change

1. Haitham M. Yousof
2. G. Hamedani
3. Ahmed Z. Afify
4. Gauss Moutinho Cordeiro
5. Indranil K. Ghosh
6. Edwin M. M. Ortega
7. Nadeem Shafique Butt
8. Mohamed E. Mead

In Statistics and Probability

1. G. Hamedani
2. Haitham M. Yousof
3. Ahmed Z. Afify
4. Gauss Moutinho Cordeiro
5. Nadeem Shafique Butt
6. Indranil K. Ghosh
7. Morad Alizadeh
8. Edwin M. M. Ortega

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 Marshall-Olkin Generalized-G Family of Distributions with Applications (2018, background): “…Kumaraswamy exponentiated Burr XII (KwEBXII) of Mead and Afify (2017), generalized inverse gamma of Mead (2015), beta exponentiated Burr XII (BEBXII) of Mead (2014), beta Fréchet (BFr) of Nadarajah and Gupta (2004) and exponentiated transmuted generalized Rayleigh (ETGR) of Afify et al. (2015b).”
• The generalized transmuted-G family of distributions (2017, unknown): “The TWL density (Afify et al., 2015) given by f (x) = abα β (1 + x β )bα−1 exp{−a[(1 + x β )α − 1]b} ×[1 − (1 + x β )−α]b−1{1 − λ + 2λe−a{(1+ xβ )α−1} b }.”
• The Beta Exponential Fréchet Distribution with Applications (2017, methodology): “The Marshall-Olkin Fréchet Distribution.”