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 linear

combination of exponentiated densities based on the same underlying distribution. We derive a power series for the quantile function of this

family. We determine explicit expressions for the ordinary and incomplete moments, quantile and generating functions, asymptotic distribution

of 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.

combination of exponentiated densities based on the same underlying distribution. We derive a power series for the quantile function of this

family. We determine explicit expressions for the ordinary and incomplete moments, quantile and generating functions, asymptotic distribution

of 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.

Generalized exponential geometric distribution, Generated family, Maximum likelihood, Quantile function, Rényi entropy

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Birincil Dil | en |
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Konular | Matematik |

Dergi Bölümü | İstatistik |

Yazarlar |

Bibtex | ```
@araştırma makalesi { hujms453295,
journal = {Hacettepe Journal of Mathematics and Statistics},
issn = {2651-477X},
eissn = {2651-477X},
address = {Hacettepe Üniversitesi},
year = {2018},
volume = {47},
pages = {937 - 961},
doi = {},
title = {A new wider family of continuous models: The Extended Cordeiro and de Castro Family},
key = {cite},
author = {Ramires, Thiago G. and Silva, Rodrigo B. and Alizadeh, Morad and Cordeiro, Gauss M.}
}
``` |

APA | Cordeiro, G , Alizadeh, M , Silva, R , Ramires, T . (2018). A new wider family of continuous models: The Extended Cordeiro and de Castro Family. Hacettepe Journal of Mathematics and Statistics, 47 (4), 937-961. Retrieved from http://dergipark.gov.tr/hujms/issue/38872/453295 |

MLA | Cordeiro, G , Alizadeh, M , Silva, R , Ramires, T . "A new wider family of continuous models: The Extended Cordeiro and de Castro Family". Hacettepe Journal of Mathematics and Statistics 47 (2018): 937-961 <http://dergipark.gov.tr/hujms/issue/38872/453295> |

Chicago | Cordeiro, G , Alizadeh, M , Silva, R , Ramires, T . "A new wider family of continuous models: The Extended Cordeiro and de Castro Family". Hacettepe Journal of Mathematics and Statistics 47 (2018): 937-961 |

RIS | TY - JOUR T1 - A new wider family of continuous models: The Extended Cordeiro and de Castro Family AU - Gauss M. Cordeiro , Morad Alizadeh , Rodrigo B. Silva , Thiago G. Ramires Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 937 EP - 961 VL - 47 IS - 4 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2016 ER - |

EndNote | %0 Hacettepe Journal of Mathematics and Statistics A new wider family of continuous models: The Extended Cordeiro and de Castro Family %A Gauss M. Cordeiro , Morad Alizadeh , Rodrigo B. Silva , Thiago G. Ramires %T A new wider family of continuous models: The Extended Cordeiro and de Castro Family %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 4 %R %U |

ISNAD | Cordeiro, Gauss M. , Alizadeh, Morad , Silva, Rodrigo B. , Ramires, Thiago G. . "A new wider family of continuous models: The Extended Cordeiro and de Castro Family". Hacettepe Journal of Mathematics and Statistics 47 / 4 (Ağustos 2018): 937-961. |