Relationship between the Cox, Lehmann, Weibull, and accelerated lifetime models

Qiqing Yu, Rick Chappell, G. Y.C. Wong, Yuting Hsu, Marcin Mazur

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Cox and Oakes (1984) claimed that a model satisfies the accelerated lifetime (AL) model and the proportional hazards (PH) model iff it is Weibull. Doksum and Nabeya (1984) 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.

Original languageEnglish (US)
Pages (from-to)1458-1470
Number of pages13
JournalCommunications in Statistics - Theory and Methods
Volume37
Issue number9
DOIs
StatePublished - Jan 2008

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

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