Transmuted Rayleigh Distribution
By Faton Merovci. 2016
180 citations recorded by the source corpus.
In this article, we generalize the Rayleigh distribution using the quadratic rank transmutation map studied by Shaw et al. (2009) to develop a transmuted Rayleigh distribution. We provide a comprehensive description of the mathematical properties of the subject distribution along with its reliability behavior. The usefulness of the transmuted Rayleigh distribution for modeling data is illustrated using real data.
Subfields: Artificial Intelligence, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/e1ad9e7a07be8bc9ae3de21b7c32fb4dda29b98c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- Haitham M. Yousof
- Morad Alizadeh
- Faton Merovci
- Ahmed Z. Afify
- Saralees Nadarajah
- G. Hamedani
- I. Castillo
In Statistics and Probability
- Haitham M. Yousof
- G. Hamedani
- Morad Alizadeh
- Ahmed Z. Afify
- Faton Merovci
- Saralees Nadarajah
- Gauss Moutinho Cordeiro
- Nadeem Shafique Butt
Citations in the corpus
- Transmuted Inverse Rayleigh Distribution: A Generalization of the Inverse Rayleigh Distribution. (2014, background): “Faton Merovci (2013) studied the transmuted Rayleigh distribution, Ashouret et al (2013). studied the transmuted exponentiated Lomax distribution and discussed some properties of this family.”
- Generalized Transmuted Family of Distributions: Properties and Applications (2017, background): “α λ G(x) Reduced distribution 1 - G(x) Transmuted G family of distributions [42] - 0 G(x) Proportioanl reversed hazard rate family [25] 1 0 G(x) G(x) 1 - exponential Transmuted exponential distribution [42] 1 - pareto Transmuted pareto distribution [41] 1 - Gumbel Transmuted Gumbel distribution [10]”
- The beta transmuted-H family for lifetime data (2017, methodology): “For a = b = 1 and β = 2, we obtain the T-Rayleigh (T-R) distribution (Merovci [23]).”
- Weibull Rayleigh Distribution: Theory and Applications (2015, unknown): “R(x,α,β ,ζ ) = 1−F(x,α,β ,ζ ) = e { −α [ G(x;ζ ) G(x) ]β} , (5) and”
- TRANSMUTED POWER FUNCTION DISTRIBUTION (2016, unknown): “Transmuted-Rayligh (T-R) distribution introduced by Merovci [27].”