The Zografos-Balakrishnan odd log-logistic family of distributions: Properties and Applications

Gauss M. CORDEİRO; Morad ALİZADEH; Edwin M.m. ORTEGA; Luis H. Valdivieso SERRANO

Makale detayları

The Zografos-Balakrishnan odd log-logistic family of distributions: Properties and Applications

Yazarlar:

Gauss M. CORDEİRO | Morad ALİZADEH | Edwin M.m. ORTEGA | Luis H. Valdivieso SERRANO

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 6, pp.1781-1803

Belge Tipi:

Makale

Yayın Tarihi:

11/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000452408

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

We study some mathematical properties of a new generator of continuous distributions with two additional shape parameters called the
Zografos-Balakrishnan odd log-logistic family. We present some special
models and investigate the asymptotes and shapes. The density function of the new family can be expressed as a mixture of exponentiated
densities based on the same baseline distribution. We derive a power
series for its quantile function. Explicit expressions for the ordinary and
incomplete moments, quantile and generating functions, Shannon and
Rényi entropies and order statistics, which hold for any baseline model,
are determined. We estimate the model parameters by maximum likelihood. Two real data sets are used to illustrate the potentiality of the
proposed family.

Makale detayları

The Zografos-Balakrishnan odd log-logistic family of distributions: Properties and Applications

Yazarlar: Gauss M. CORDEİRO | Morad ALİZADEH | Edwin M.m. ORTEGA | Luis H. Valdivieso SERRANO

Yayıncı: Hacettepe University

Ana Başlıklar: Analiz

Dergi: Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 6, pp.1781-1803

Belge Tipi: Makale

Yayın Tarihi: 11/2016

Belge Dili: İngilizce

Document ID (Org No.): 2000452408

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Gauss M. CORDEİRO | Morad ALİZADEH | Edwin M.m. ORTEGA | Luis H. Valdivieso SERRANO

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 6, pp.1781-1803

Belge Tipi:

Makale

Yayın Tarihi:

11/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000452408

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X