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## A New Exponentiated Extended Family of Distributions with Applications

#### M. Elgarhy [1] , Muhammad Haq [2] , Gamze Ozel [3]

We introduce a new family of univariate continuous distributions called the exponentiated extended-G family which extends the extended-G family pioneered by Cordeiro et al. (2003). The new family includes several known models. We obtain general explicit expressions for the quantile function, moments, probability weighted moments, generating function, mean deviation and order statistics. The model parameters are estimated by the maximum likelihood method. The flexibility of the proposed family is illustrated by means of two applications to real data sets. The results show that the proposed family is more flexible than existing families having even more parameters.

Generated distributions, Order statistics, Quantiles
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Bölüm Statistics Yazar: M. Elgarhy Kurum: Department of Mathematical Statistics, Cairo University, EgyptÜlke: Egypt Yazar: Muhammad Haq Kurum: College of Statistical & Actuarial Sciences, University of the Punjab, PakistanÜlke: Pakistan Yazar: Gamze Ozel Kurum: Department of Statistics, Hacettepe UniversityÜlke: Turkey Yayımlanma Tarihi : 20 Eylül 2017
 Bibtex @araştırma makalesi { gujs289231, journal = {Gazi University Journal of Science}, issn = {}, eissn = {2147-1762}, address = {}, publisher = {Gazi Üniversitesi}, year = {2017}, volume = {30}, pages = {101 - 115}, doi = {}, title = {A New Exponentiated Extended Family of Distributions with Applications}, key = {cite}, author = {Elgarhy, M. and Haq, Muhammad and Ozel, Gamze} } APA Elgarhy, M , Haq, M , Ozel, G . (2017). A New Exponentiated Extended Family of Distributions with Applications. Gazi University Journal of Science , 30 (3) , 101-115 . Retrieved from https://dergipark.org.tr/tr/pub/gujs/issue/31190/289231 MLA Elgarhy, M , Haq, M , Ozel, G . "A New Exponentiated Extended Family of Distributions with Applications". Gazi University Journal of Science 30 (2017 ): 101-115 Chicago Elgarhy, M , Haq, M , Ozel, G . "A New Exponentiated Extended Family of Distributions with Applications". Gazi University Journal of Science 30 (2017 ): 101-115 RIS TY - JOUR T1 - A New Exponentiated Extended Family of Distributions with Applications AU - M. Elgarhy , Muhammad Haq , Gamze Ozel Y1 - 2017 PY - 2017 N1 - DO - T2 - Gazi University Journal of Science JF - Journal JO - JOR SP - 101 EP - 115 VL - 30 IS - 3 SN - -2147-1762 M3 - UR - Y2 - 2020 ER - EndNote %0 Gazi University Journal of Science A New Exponentiated Extended Family of Distributions with Applications %A M. Elgarhy , Muhammad Haq , Gamze Ozel %T A New Exponentiated Extended Family of Distributions with Applications %D 2017 %J Gazi University Journal of Science %P -2147-1762 %V 30 %N 3 %R %U ISNAD Elgarhy, M. , Haq, Muhammad , Ozel, Gamze . "A New Exponentiated Extended Family of Distributions with Applications". Gazi University Journal of Science 30 / 3 (Eylül 2017): 101-115 . AMA Elgarhy M , Haq M , Ozel G . A New Exponentiated Extended Family of Distributions with Applications. Gazi University Journal of Science. 2017; 30(3): 101-115. Vancouver Elgarhy M , Haq M , Ozel G . A New Exponentiated Extended Family of Distributions with Applications. Gazi University Journal of Science. 2017; 30(3): 115-101.

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