The Transmuted Topp-Leone G Family of Distributions: Theory, Characterizations and Applications
Haitham M. Yousof,Morad Alizadeh,S. M. A. Jahanshahi,Thiago G. Ramires,Indranil Ghosh,G.G. Hamedani +5 more
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Ghosh and Hamedani as discussed by the authors studied at the Federal University of Technology Parana, Brazil and the University of Sistan and Baluchestan, Zahedan, Iran, respectively.Abstract:
Thiago G. Ramires Indranil Ghosh e and G.G. Hamedani f aDepartment of Statistics, Mathematics and Insurance, Benha University, Egypt bDepartment of Statistics, Persian Gulf University, Bushehr, Iran cFaculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran. dDepartment of mathematic, Federal University of Technology Parana, Brazil eDepartment of Mathematics and Statistics, University of North Carolina Wilmington, USA fDepartment of Mathematics, Statistics and Computer Science, Marquette University,USAread more
Citations
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A Generalization of Reciprocal Exponential Model: Clayton Copula, Statistical Properties and Modeling Skewed and Symmetric Real Data Sets: A Generalization of Reciprocal Exponential Model
Mahmoud M. Mansour,Nadeem Shafique Butt,Haitham M. Yousof,S. I. Ansari,Mohamed Nabil Fathy Ibrahim +4 more
TL;DR: In this article, a new extension of the reciprocal exponential distribution for modeling the extreme values is introduced, based on the Morgenstern family and the clayton copula for deriving many bivariate and multivariate extensions of the new model.
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Type II Power Topp-Leone Generated Family of Distributions with Statistical Inference and Applications
TL;DR: This paper presents and study a new family of continuous distributions, called the type II power Topp-Leone-G family, which provides a natural extension of the so-called type II Topp, Leone, G family, thanks to the use of an additional shape parameter, and shows that it outperforms other well-known models defined with the same baseline distribution.
Journal ArticleDOI
A New Power Topp–Leone Generated Family of Distributions with Applications
TL;DR: A new general family of distributions obtained by a subtle combination of two well-established families of distributions: the so-called power Topp–Leone-G and inverse exponential-G families is introduced, centered around an original cumulative distribution function involving exponential and polynomial functions.
Journal ArticleDOI
The transmuted odd log-logistic-G family of distributions
TL;DR: In this article, a new class of models called the transmuted odd log-logistic-G family is proposed and studied and the method of maximum likelihood is used to estimate the unknown parameters.
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Type II Generalized Topp–Leone Family of Distributions: Properties and Applications
TL;DR: In this article, a new family of distributions, depending on Topp-Leone random variable as a generator, called the Type II generalized Topp -Leone-G (TIIGTL-G) family was introduced.
References
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Exponentiated Weibull family for analyzing bathtub failure-rate data
G.S. Mudholkar,D.K. Srivastava +1 more
TL;DR: In this article, a simple generalization of the Weibull distribution is presented, which is well suited for modeling bathtub failure rate lifetime data and for testing goodness-of-fit of the weibull and negative exponential models as subhypotheses.
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A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families
Albert W. Marshall,Ingram Olkin +1 more
TL;DR: In this article, a new way of introducing a parameter to expand a family of distributions is introduced and applied to yield a new two-parameter extension of the exponential distribution which may serve as a competitor to such commonly-used twoparameter families of life distributions as the Weibull, gamma and lognormal distributions.
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A generalized probability density function for double-bounded random processes
TL;DR: In this paper, the authors developed a generalized PDF called double bounded probability density function (DB-PDF) for parameter estimation and simulation of random variables, which can be applied to practical problems of parameter estimation.