Scopus
YÖKSİS Eşleşti
An Alternative to the Marshall-Olkin Family of Distributions: Bootstrap, Regression and Applications
Communications on Applied Mathematics and Computation · Aralık 2022
YÖKSİS Kayıtları
An Alternative to the Marshall-Olkin Family of Distributions: Bootstrap, Regression and Applications
Springer Science and Business Media LLC · 2022 ESCI
DOÇENT KADİR KARAKAYA →
An Alternative to the Marshall-Olkin Family of Distributions: Bootstrap, Regression and Applications
Communications on Applied Mathematics and Computation · 2022 ESCI
PROFESÖR COŞKUN KUŞ →
Makale Bilgileri
DergiCommunications on Applied Mathematics and Computation
Yayın TarihiAralık 2022
Cilt / Sayfa4 · 1229-1257
Scopus ID2-s2.0-85132387667
Özet
This paper introduces a new rich family of distributions based on mixtures and the so-called Marshall-Olkin family of distributions. It includes a wide variety of well-established mixture distributions, ensuring a high ability for data fitting. Some distributional properties are derived for the general family. The Weibull distribution is then considered as the baseline, exhibiting a pliant four-parameter lifetime distribution. Five estimation methods for the related parameters are discussed. Bootstrap confidence intervals are also considered for these parameters. The distribution is reparametrized with location-scale parameters and it is used for a lifetime regression analysis. An extensive simulation is carried out on the estimation methods for distribution parameters and regression model parameters. Applications are given to two practical data sets to illustrate the applicability of the new family.
Yazarlar (4)
1
Christophe Chesneau
2
Kadir Karakaya
3
Hassan S. Bakouch
4
Coşkun Kuş
Anahtar Kelimeler
Bootstrap
Confidence intervals
Data analysis
Estimation
Marshall-Olkin family of distributions
Kurumlar
Faculty of Science
Tanta Egypt
Selçuk Üniversitesi
Selçuklu Turkey
Université de Caen Normandie
Caen France
Metrikler
3
Atıf
4
Yazar
5
Anahtar Kelime