Yıl 2018, Cilt 31, Sayı 2, Sayfalar 643 - 658 2018-06-01

A Mixture Model of Two Bivariate Weibull Distributions

Ayça Hatice TÜRKAN [1] , Nazif ÇALIŞ [2]

100 196

In this paper, we propose a mixture model containing bivariate Weibull distributions—the Marshall-Olkin bivariate Weibull (MOBW) and the Block-Basu bivariate Weibull (BBBW)—because each of these distributions alone is inadequate for explaining a data set when certain special situations occur in bivariate lifetime data sets. We refer to the proposed model as Mix_BW. To estimate the model parameters, we use the expectation-maximisation (EM) algorithm in an adapted form we term the Mix_EM algorithm. We provide illustrative examples with real and simulated data sets to demonstrate the applicability of the proposed Mix_BW model.

Block-Basu bivariate Weibull (BBBW), Marshall-Olkin bivariate Weibull (MOBW), Maximum Likelihood Estimation, Mixture distribution model
  • Funda Erdugan Kırıkkale University ferdugan@gmail.com
  • Murat Erişoğlu Necmettin Erbakan University merisoglu@konya.edu.tr
  • Tayfun Servi Adıyaman University tservi@yahoo.com
Konular Fen
Dergi Bölümü Statistics
Yazarlar

Yazar: Ayça Hatice TÜRKAN
Kurum: Afyon Kocatepe University
Ülke: Turkey


Yazar: Nazif ÇALIŞ
Kurum: ADIYAMAN ÜNİVERSİTESİ
Ülke: Turkey


Bibtex @araştırma makalesi { gujs347141, journal = {GAZI UNIVERSITY JOURNAL OF SCIENCE}, issn = {}, eissn = {2147-1762}, address = {Gazi Üniversitesi}, year = {2018}, volume = {31}, pages = {643 - 658}, doi = {}, title = {A Mixture Model of Two Bivariate Weibull Distributions}, key = {cite}, author = {TÜRKAN, Ayça Hatice and ÇALIŞ, Nazif} }
APA TÜRKAN, A , ÇALIŞ, N . (2018). A Mixture Model of Two Bivariate Weibull Distributions. GAZI UNIVERSITY JOURNAL OF SCIENCE, 31 (2), 643-658. Retrieved from http://dergipark.gov.tr/gujs/issue/37206/347141
MLA TÜRKAN, A , ÇALIŞ, N . "A Mixture Model of Two Bivariate Weibull Distributions". GAZI UNIVERSITY JOURNAL OF SCIENCE 31 (2018): 643-658 <http://dergipark.gov.tr/gujs/issue/37206/347141>
Chicago TÜRKAN, A , ÇALIŞ, N . "A Mixture Model of Two Bivariate Weibull Distributions". GAZI UNIVERSITY JOURNAL OF SCIENCE 31 (2018): 643-658
RIS TY - JOUR T1 - A Mixture Model of Two Bivariate Weibull Distributions AU - Ayça Hatice TÜRKAN , Nazif ÇALIŞ Y1 - 2018 PY - 2018 N1 - DO - T2 - GAZI UNIVERSITY JOURNAL OF SCIENCE JF - Journal JO - JOR SP - 643 EP - 658 VL - 31 IS - 2 SN - -2147-1762 M3 - UR - Y2 - 2018 ER -
EndNote %0 Gazi University Journal of Science A Mixture Model of Two Bivariate Weibull Distributions %A Ayça Hatice TÜRKAN , Nazif ÇALIŞ %T A Mixture Model of Two Bivariate Weibull Distributions %D 2018 %J GAZI UNIVERSITY JOURNAL OF SCIENCE %P -2147-1762 %V 31 %N 2 %R %U
ISNAD TÜRKAN, Ayça Hatice , ÇALIŞ, Nazif . "A Mixture Model of Two Bivariate Weibull Distributions". GAZI UNIVERSITY JOURNAL OF SCIENCE 31 / 2 (Haziran 2018): 643-658.