The Odd Nadarajah-Haghighi Family of Distributions: Properties and Applications

Authors

Abraão D.C. Nascimento, Universidade Federal de PernambucoFollow
Kássio F. Silva, Universidade Federal de Pernambuco
Gauss M. Cordeiro, Universidade Federal de Pernambuco
Morad Alizadeh, Gulf University-Bushehr
Haitham M. Yousof, Benha University
Gholamhossein G. Hamedani, Marquette UniversityFollow

Document Type

Article

Publication Date

7-2019

Publisher

Akadémiai Kiadó

Source Publication

Studia Scientiarum Mathematicarum Hungarica

Source ISSN

0081-6906

Abstract

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.

Comments

Accepted version. Studia Scientiarum Mathematicarum Hungarica, Vol. 56, No. 2 (July 2019): 185-210. DOI. © 2019 Akadémiai Kiadó. Used with permission.

Recommended Citation

Nascimento, Abraão D.C.; Silva, Kássio F.; Cordeiro, Gauss M.; Alizadeh, Morad; Yousof, Haitham M.; and Hamedani, Gholamhossein G., "The Odd Nadarajah-Haghighi Family of Distributions: Properties and Applications" (2019). Mathematical and Statistical Science Faculty Research and Publications. 95.
https://epublications.marquette.edu/math_fac/95