A new wider family of continuous models: The Extended Cordeiro and de Castro Family

Gauss M. CORDEİRO; Morad ALİZADEH; Rodrigo B. SİLVA; Thiago G. RAMİRES

Article Details

A new wider family of continuous models: The Extended Cordeiro and de Castro Family

Authors:

Gauss M. CORDEİRO | Morad ALİZADEH | Rodrigo B. SİLVA | Thiago G. RAMİRES

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 4, pp.937-961

Document Type:

Article

Publication Date:

7/2018

Document Language:

English

Document ID (Org No.):

2000451890

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

Abstract:

 

We introduce and study general mathematical properties of a new generator of continuous distributions with three extra parameters called the extended Cordeiro and de Castro family. We investigate the asymptotes and shapes. The new density function can be expressed as a linearcombination of exponentiated densities based on the same underlying distribution. We derive a power series for the quantile function of thisfamily. We determine explicit expressions for the ordinary and incomplete moments, quantile and generating functions, asymptotic distributionof the extreme values, Shannon and Rényi entropies and order statistics, which hold for any baseline model. We discuss the estimation of the model parameters by maximum likelihood and illustrate the potentiality of the introduced family by means of two applications to real data.

Article Details

A new wider family of continuous models: The Extended Cordeiro and de Castro Family

Authors: Gauss M. CORDEİRO | Morad ALİZADEH | Rodrigo B. SİLVA | Thiago G. RAMİRES

Publisher: Hacettepe University

Main Topics: Mathematics

Journal: Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 4, pp.937-961

Document Type: Article

Publication Date: 7/2018

Document Language: English

Document ID (Org No.): 2000451890

Frequency: Bimonthly

eISSN: 2651-477X

pISSN: 2651-477X

Issues

Authors:

Gauss M. CORDEİRO | Morad ALİZADEH | Rodrigo B. SİLVA | Thiago G. RAMİRES

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 4, pp.937-961

Document Type:

Article

Publication Date:

7/2018

Document Language:

English

Document ID (Org No.):

2000451890

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X