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A note on the connection between some classical mortality laws and proportional frailty
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 1
2017 (English)In: Statistics and Probability Letters, ISSN 0167-7152, E-ISSN 1879-2103, Vol. 126, 76-82 p.Article in journal (Refereed) Published
Abstract [en]

We provide a simple frailty argument that produces the Gompertz-Makeham mortality law as the population hazard rate under the assumption of proportional frailty given a common exponential hazard rate. Further, based on a slight generalisation of the result for the Gompertz-Makeham law the connection to Perks and Beard's mortality laws is discussed. Moreover, we give conditions for which functional forms of the baseline hazard that will yield proper frailty distributions given we want to retrieve a certain overall population hazard within the proportional frailty framework.

Place, publisher, year, edition, pages
2017. Vol. 126, 76-82 p.
Keyword [en]
Survival analysis, Frailty, Gompertz-Makeham law, Perks law, Beard's law
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-143426DOI: 10.1016/j.spl.2017.02.013ISI: 000400535600010OAI: oai:DiVA.org:su-143426DiVA: diva2:1107354
Available from: 2017-06-09 Created: 2017-06-09 Last updated: 2017-06-09Bibliographically approved

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