Pregled bibliografske jedinice broj: 948202
The log-odd normal generalized family of distributions with applications
The log-odd normal generalized family of distributions with applications // Anais da academia brasileira de ciencias, 91 (2019), 2; e20180207, 22 doi:10.1590/0001-3765201920180207 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 948202 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The log-odd normal generalized family of distributions with applications
Autori
Zubair, M ; Poganj, Tibor ; Cordeiro, Gauss M ; Tahir, M
Izvornik
Anais da academia brasileira de ciencias (0001-3765) 91
(2019), 2;
E20180207, 22
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Maximum likelihood estimation ; Normal distribution ; Power Cauchy distribution ; Shannon entropy.
Sažetak
The normal distribution has a central place in distribution theory and statistics. We propose the log-odd normal generalized family of distributions based on log-odds and obtain some of its mathematical properties and a useful linear representation for the new family. We investigate, as a special model, the log-odd normal power-Cauchy distribution. Some structural properties of this distribution are obtained including quantile function, ordinary and incomplete moments, generating function and some asymptotic. We estimate the model parameters using the maximum likelihood method. The usefulness of the proposed family is proved empirically by means of a real air pollution data set.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
- MEDLINE
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts