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
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
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页码:185 / 210
页数:26
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