The Weibull Marshall-Olkin family: Regression model and application to censored data

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Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor & Francis Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

We introduce a new class of distributions called the Weibull Marshall-Olkin-G family. We obtain some of its mathematical properties. The special models of this family provide bathtub-shaped, decreasing-increasing, increasing-decreasing-increasing, decreasing-increasing-decreasing, monotone, unimodal and bimodal hazard functions. The maximum likelihood method is adopted for estimating the model parameters. We assess the performance of the maximum likelihood estimators by means of two simulation studies. We also propose a new family of linear regression models for censored and uncensored data. The flexibility and importance of the proposed models are illustrated by means of three real data sets.

Açıklama

Anahtar Kelimeler

Bimodal hazard rate, Censored data, Marshall–Olkin family, Maximum likelihood estimation, Regression model, Weibull distribution

Kaynak

Communications in Statistics - Theory and Methods

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

48

Sayı

16

Künye

Korkmaz, M. Ç., Cordeiro, G. M., Yousof, H. M., Pescim, R. R., Afify, A. Z., & Nadarajah, S. (2019). The Weibull Marshall–Olkin family: Regression model and application to censored data. Communications in Statistics-Theory and Methods, 48(16), 4171-4194. doi:10.1080/03610926.2018.1490430.