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

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

doi:10.1080/03610920701666336

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

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

School of Science, Engineering & Technology (Harrisburg)

Research output: Contribution to journal › Article › peer-review

3 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 language	English (US)
Pages (from-to)	1458-1470
Number of pages	13
Journal	Communications in Statistics - Theory and Methods
Volume	37
Issue number	9
DOIs	https://doi.org/10.1080/03610920701666336
State	Published - Jan 2008

All Science Journal Classification (ASJC) codes

Statistics and Probability

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10.1080/03610920701666336

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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.",

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AU - Yu, Qiqing

AU - Chappell, Rick

AU - Wong, G. Y.C.

AU - Hsu, Yuting

AU - Mazur, Marcin

PY - 2008/1

Y1 - 2008/1

N2 - 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.

AB - 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.

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JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

IS - 9

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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