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Unobserved population heterogeneity: A review of formal relationships

dc.contributor.author Vaupel, James Walton
dc.contributor.author Missov, TI
dc.date.accessioned 2017-06-01T18:59:21Z
dc.date.available 2017-06-01T18:59:21Z
dc.date.issued 2014-01-01
dc.identifier.uri https://hdl.handle.net/10161/14671
dc.description.abstract © 2014 James W. Vaupel & Trifon I. Missov.Background: Survival models accounting for unobserved heterogeneity (frailty models) play an important role in mortality research, yet there is no article that concisely summarizes useful relationships. Objective: We present a list of important mathematical relationships that govern populations in which individuals differ from each other in unobserved ways. For some relationships we present proofs that, albeit formal, tend to be simple and intuitive. Methods: We organize the article in a progression, starting with general relationships and then turning to models with stronger and stronger assumptions. Results: We start with the general case, in which we do not assume any structure of the underlying baseline hazard, the frailty distribution, or their link to one another. Then we sequentially assume, first, a relative-risk model; second, a gamma distribution for frailty; and, finally, a Gompertz and Gompertz-Makeham specification for baseline mortality. Comments: The article might serve as a handy overall reference to frailty models, especially for mortality research.
dc.relation.ispartof Demographic Research
dc.relation.isversionof 10.4054/DemRes.2014.31.22
dc.title Unobserved population heterogeneity: A review of formal relationships
dc.type Journal article
pubs.begin-page 659
pubs.end-page 686
pubs.issue 1
pubs.organisational-group Center for Population Health & Aging
pubs.organisational-group Duke
pubs.organisational-group Duke Population Research Institute
pubs.organisational-group Sanford School of Public Policy
pubs.publication-status Published
pubs.volume 31
dc.identifier.eissn 1435-9871


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