Piecewise exponential survival curves with smooth transitions

Daniel Zelterman; Patricia M. Grambsch; Chap T. Le; Jennie Z. Ma; James W. Curtsinger

doi:10.1016/0025-5564(94)90054-X

Piecewise exponential survival curves with smooth transitions

Daniel Zelterman, Patricia M. Grambsch, Chap T. Le, Jennie Z. Ma, James W. Curtsinger

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14 Scopus citations

Abstract

Several models of a population survival curve composed of two piecewise exponential distributions are developed. In one formulation the hazard rate changes at a point that is an unobservable random variable that varies between individuals. The population hazard function may decrease with age even when all individuals' hazards are increasing. In a second formulation, the population hazard function is modeled directly. Several models are fit to the survival history of a cohort of 5751 highly inbred male Drosophila melanogaster and the British coal mining disaster data.

Original language	English (US)
Pages (from-to)	233-250
Number of pages	18
Journal	Mathematical Biosciences
Volume	120
Issue number	2
DOIs	https://doi.org/10.1016/0025-5564(94)90054-X
State	Published - Apr 1994

Bibliographical note

Funding Information:
IIRis research was supported in part by NIH Grants POI-AGOS761, (/al-AG10328, NCI-AI05073, KO4-HDOO638, ROI-HS07772, and POl-DC00133 and a grant from the Minnesota Supercomputer Institute. We are grateful to Brad Carlin for supplying serjeral useful references.

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title = "Piecewise exponential survival curves with smooth transitions",

abstract = "Several models of a population survival curve composed of two piecewise exponential distributions are developed. In one formulation the hazard rate changes at a point that is an unobservable random variable that varies between individuals. The population hazard function may decrease with age even when all individuals' hazards are increasing. In a second formulation, the population hazard function is modeled directly. Several models are fit to the survival history of a cohort of 5751 highly inbred male Drosophila melanogaster and the British coal mining disaster data.",

author = "Daniel Zelterman and Grambsch, {Patricia M.} and Le, {Chap T.} and Ma, {Jennie Z.} and Curtsinger, {James W.}",

note = "Funding Information: IIRis research was supported in part by NIH Grants POI-AGOS761, (/al-AG10328, NCI-AI05073, KO4-HDOO638, ROI-HS07772, and POl-DC00133 and a grant from the Minnesota Supercomputer Institute. We are grateful to Brad Carlin for supplying serjeral useful references.",

year = "1994",

month = apr,

doi = "10.1016/0025-5564(94)90054-X",

language = "English (US)",

volume = "120",

pages = "233--250",

journal = "Mathematical Biosciences",

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T1 - Piecewise exponential survival curves with smooth transitions

AU - Zelterman, Daniel

AU - Grambsch, Patricia M.

AU - Le, Chap T.

AU - Ma, Jennie Z.

AU - Curtsinger, James W.

N1 - Funding Information: IIRis research was supported in part by NIH Grants POI-AGOS761, (/al-AG10328, NCI-AI05073, KO4-HDOO638, ROI-HS07772, and POl-DC00133 and a grant from the Minnesota Supercomputer Institute. We are grateful to Brad Carlin for supplying serjeral useful references.

PY - 1994/4

Y1 - 1994/4

N2 - Several models of a population survival curve composed of two piecewise exponential distributions are developed. In one formulation the hazard rate changes at a point that is an unobservable random variable that varies between individuals. The population hazard function may decrease with age even when all individuals' hazards are increasing. In a second formulation, the population hazard function is modeled directly. Several models are fit to the survival history of a cohort of 5751 highly inbred male Drosophila melanogaster and the British coal mining disaster data.

AB - Several models of a population survival curve composed of two piecewise exponential distributions are developed. In one formulation the hazard rate changes at a point that is an unobservable random variable that varies between individuals. The population hazard function may decrease with age even when all individuals' hazards are increasing. In a second formulation, the population hazard function is modeled directly. Several models are fit to the survival history of a cohort of 5751 highly inbred male Drosophila melanogaster and the British coal mining disaster data.

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VL - 120

SP - 233

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JO - Mathematical Biosciences

JF - Mathematical Biosciences

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ER -

Piecewise exponential survival curves with smooth transitions

Abstract

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