The Transmuted Weibull Lomax Distribution: Properties and Application

By Ahmed Z. Afify, Zohdy M. Nofal, Haitham M. Yousof, Y. M. E. Gebaly, Nadeem Shafique Butt. 2015

81 citations recorded by the source corpus.

A new five parameter model is proposed and stutied. The new distribution generalizes the Weibull Lomax distribution introduced by Tahir et al. (2015) and is referred to as transmuted Weibull Lomax (TWL) distribution. Various structural properties of the new model including ordinary and incomplete moments, quantiles, generating function, probability weighted moments, Renyi and q-entropies and order statistics are derived. We proposed the method of maximum likelihood for estimating the model parameters. The usefulness of the new model is illustrated through an application to a real data set.

Subfields: Global and Planetary Change, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/7046d3d11031b76c12a1117d17898321ab39498a

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. Nadeem Shafique Butt
5. Morad Alizadeh
6. Indranil K. Ghosh
7. Mohamed E. Mead
8. Saralees Nadarajah

In Statistics and Probability

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

Citations in the corpus

• TRANSMUTED POWER FUNCTION DISTRIBUTION (2016, methodology): “Using this approach various generalized distributions have been generated; Transmuted Weibull Lomax, Transmuted Lindley, Transmuted Pareto [20-22] Furthermore, the study is organized as follows; in section 2 graphical representations of probability density function and the hazard function is given.”
• The generalized odd Burr III family of distributions: properties, applications and characterizations (2019, methodology): “We fit the above data sets by the GOBIII-Lx model along with the other well-known lifetime distributions namely; transmuted Weibull Lomax (TWLx) [18], modified betaWeibull (MBW) [19],Macdonald Lomax (Mc-Lx) [20] and Weibull Lomax (WLx) [21] distributions.”
• 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 Beta Exponential Fréchet Distribution with Applications (2017, methodology): “The Marshall-Olkin Fréchet Distribution.”
• The Transmuted Exponentiated Generalized-G Family of Distributions (2015, methodology): “Substituting (5) and (6) in equation (12) and using a power series expansion, we get”
• The Transmuted Marshall-Olkin Fr\'{e}chet Distribution: Properties and Applications (2015, methodology): “As shown in Afify et al. (2015), this characterization is stable in the sense of weak convergence.”