The Transmuted Weibull-pareto Distribution. | [Pakistan Journal of Statistics • 2016]

Author(s):

1. Ahmed Z Afify: Department of Statistics, Mathematics and Insurance Benha University, Egypt

2. Haitham M Yousof: Department of Statistics, Mathematics and Insurance Benha University, Egypt

3. Nadeem Shafique Butt: Department of Family and Community Medicine Faculty of Medicine in Rabigh, King Abdulaziz University Jeddah, Saudi Arabia

4. G G Hamedani: Department of Mathematics, Statistics and Computer Science Marquette University, Milwaukee, USA

Abstract:

A new generalization of the Weibull-Pareto distribution called the transmuted Weibull-Pareto distribution is proposed and studied. Various mathematical properties of this distribution including ordinary and incomplete moments, quantile and generating functions, Bonferroni and Lorenz curves and order statistics are derived. The method of maximum likelihood is used for estimating the model parameters. The flexibility of the new lifetime model is illustrated by means of an application to a real data set.

Page(s): 183-206

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 32, Issue: 3, Year: 2016

Keywords:

Keywords are not available for this article.

References:

[1] Afify , A.Z.,Alizadeh , M.,Yousof , H.M.,Aryal , G.,Ahmad , M.,,2016,The transmuted geometric-G family of distributions: theory and applications,,32,139-160

[2] AfifyA.Z.,Cordeiro , G.M.,Yousof , H.M.,Alzaatreh , A.,Nofal , Z.M.,,2016,The Kumaraswamy transmuted-G family of distributions: properties and applications,Journal of Data Science,14,245-270

[3] Afify , A.Z.,Hamedani , G.G.,Ghosh , I.,,2015,The transmuted Marshall-Olkin Fréchet distribution: properties and applications,International Journal of Statistics and Probability,4,132-184

[4] Afify , A.Z.,Nofal , Z.M.,Butt , N.S.,,2014,Transmuted complementary Weibull geometric distribution,Pak. J. Stat. Oper. Res.,10,435-454

[5] Afify , A.Z.,Nofal , Z.M.,Ebraheim , A.N.,,2015,Exponentiated transmuted generalized Rayleigh distribution: a new four parameter Rayleigh distribution,Pak. J. Stat. Oper. Res.,11,115-134

[6] Afify , A.Z.,Nofal , Z.M.,Yousof , H.M.,El Gebaly , Y.M.,Butt , N.S.,,2015,The transmuted Weibull Lomax distribution: properties and application,Pak. J. Stat. Oper. Res.,11,135-153

[7] Aryal , G.R.,Tsokos , C.P.,,2011,Transmuted Weibull Distribution: A generalization of the Weibull Probability Distribution,European Journal of Pure and Applied Mathematics,4,89-102

[8] Bourguignon , M.,Silva , R.B.,Cordeiro , G.M.,,2014,The Weibull-G family of probability distributions,Journal of Data Science,12,53-68

[9] Glanzel , W.A.,,1986,Characterization theorem based on truncated moments and its application to some distribution families,Mathematical Statistics and Probability Theory (Bad Tatzmannsdorf,,75-84

[10] Glanzel , W.A.,,1990,Some consequences of a characterization theorem based on truncated moments,,21,613-618

[11] Huang , S.,Oluyede , B.O.,,2014,Exponentiated Kumaraswamy-Dagum distribution with applications to income and lifetime data,Journal of Statistical Distributions and Applications,1,1-20

[12] Khan , M.S.,King , R.,,2013,Transmuted modified Weibull distribution: a generalization of the modified Weibull probability distribution,European Journal of Pure and Applied Mathematics,6,66-88

[13] Kundu , D.,Raqab , M.Z.,,2009,Y  X  for three-parameter Weibull distribution,Statistics and Probability Letters,79,1839-1846

[14] Lemonte , A.J.,Cordeiro , G.M.,,2013,An extended Lomax distribution,,47,800-816

[15] Nofal , Z.M.,Afify , A.Z.,Yousof , H.M.,Cordeiro , G.,,2015,The generalized transmuted-G family of distributions,Comm. Statist. Theory Methods,,-

[16] Shaw,Buckley , I.R.C.,,2007,The alchemy of probability distributions: beyond gram-charlier expansions and a skew-kurtotic-normal distribution from a rank transmutation map,Research report.,,-

[17] Tahir , M.H.,Cordeiro , G.M.,Alzaatreh , A.,Mansoor , M.,Zubair , M.,,2015,A new Weibull-Pareto distribution: properties and applications,Comm. Statist. Simulation and Computation,,-

[18] Tahir , M.H.,Cordeiro , G.M.,Mansoor , M.,Zubair , M.,,2015,The WeibullLomax distribution: properties and applications,Hacettepe Journal of Mathematics and Statistics. Forthcoming.,,-

[19] Yousof , H.M.,Afify , A.Z.,Alizadeh , M.,Butt , N.S.,Hamedani , G.G.,Ali , M.M.,,2015,The transmuted exponentiated generalized-G family of distributions,Pak. J. Stat. Oper. Res.,11,441-464

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