THE ODD NADARAJAH-HAGHIGHI FAMILY OF DISTRIBUTIONS: PROPERTIES AND APPLICATIONS

被引：39

作者：

Nascimento, Abraao D. C. ^{[1
]}

Silva, Kassio F. ^{[1
]}

Cordeiro, Gauss M. ^{[1
]}

Alizadeh, Morad ^{[2
]}

Yousof, Haitham M. ^{[3
]}

Hamedani, G. G. ^{[4
]}

机构：

[1] Univ Fed Pernambuco, Dept Stat, Recife, PE, Brazil

[2] Persian Gulf Univ, Dept Stat, Bushehr, Iran

[3] Benha Univ, Dept Stat Math & Insurance, Banha, Egypt

[4] Marquette Univ, Dept Math Stat & Comp Sci, Milwaukee, WI 53201 USA

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2019年 / 56卷 / 02期

关键词：

Nadarajah-Haghighi distribution; Bivariate distribution; Characterizations; Maximum likelihood; Estimation;

D O I：

10.1556/012.2019.56.2.1416

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study some mathematical properties of a new generator of continuous distributions called the Odd Nadarajah-Haghighi (ONH) family. In particular, three special models in this family are investigated, namely the ONH gamma, beta and Weibull distributions. The family density function is given as a linear combination of exponentiated densities. Further, we propose a bivariate extension and various characterization results of the new family. We determine the maximum likelihood estimates of ONH parameters for complete and censored data. We provide a simulation study to verify the precision of these estimates. We illustrate the performance of the new family by means of a real data set.

引用

页码：185 / 210

页数：26

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