Relationship Between the Cox,Lehmann, Weibull,and Accelerated Lifetime Models |
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| Authors: | Qiqing Yu Rick Chappell G Y C Wong Yuting Hsu Marcin Mazur |
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| Institution: | 1. Department of Mathematical Sciences , SUNY , Binghamton, New York, USA qyu@math.binghamton.edu;3. Departments of Biostatistics and Medical Informatics &4. Statistics , University of Wisconsin , Madison, Wisconsin, USA;5. Strang Cancer Prevention Center , New York, USA;6. Department of Mathematical Sciences , SUNY , Binghamton, New York, USA |
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| Abstract: | Cox and Oakes (1984
Cox , D. R. ,
Oakes , D. ( 1984 ). Analysis of Survival Data . New York : Chapman & Hall . Google Scholar]) claimed that a model satisfies the accelerated lifetime (AL) model and the proportional hazards (PH) model iff it is Weibull. Doksum and Nabeya (1984
Doksum , K. A. ,
Nabeya , S. ( 1984 ). Estimation in proportional hazards and log-linear models . J. Statist. Plann. Infer. 9 : 297 – 303 .Crossref], Web of Science ®] , Google Scholar]) constructed a family of analytic non Weibull survival functions that satisfies both the PH and AL models. We further study the relationship between the PH, AL, Lehmann, and Weibull models without the restriction of absolute continuity. |
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| Keywords: | Lehmann model Regression analysis Weibull distribution |
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