Generalized transmuted family of distributions: properties and applications

Morad ALİZADEH; Faton MEROVCİ; G.g. HAMEDANİ

Makale detayları

Generalized transmuted family of distributions: properties and applications

Yazarlar:

Morad ALİZADEH | Faton MEROVCİ | G.g. HAMEDANİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 4, pp.645-667

Belge Tipi:

Makale

Yayın Tarihi:

7/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000452214

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

We introduce and study general mathematical properties of a new generator of continuous distributions with two extra parameters called theGeneralized Transmuted Family of Distributions. We investigate the shapes and present some special models. The new density function can be expressed as a linear combination of exponentiated densities in terms of the same baseline distribution. We obtain explicit expressions for the ordinary and incomplete moments and generating function, Bonferroni and Lorenz curves, asymptotic distribution of the extreme values, Shannon and Rényi entropies and order statistics, which hold for any baseline model. Further, we introduce a bivariate extension of the new family. We discuss the different methods of estimation of the model parameters and illustrate the potential application of the model via real data. A brief simulation for evaluating Maximum likelihood estimator is done. Finally certain characterziations of our model are presented.

Makale detayları

Generalized transmuted family of distributions: properties and applications

Yazarlar: Morad ALİZADEH | Faton MEROVCİ | G.g. HAMEDANİ

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 4, pp.645-667

Belge Tipi: Makale

Yayın Tarihi: 7/2017

Belge Dili: İngilizce

Document ID (Org No.): 2000452214

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Morad ALİZADEH | Faton MEROVCİ | G.g. HAMEDANİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 4, pp.645-667

Belge Tipi:

Makale

Yayın Tarihi:

7/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000452214

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X