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A covariance-based test for shared frailty in multivariate lifetime data

Kimber, Alan and Sarker, Shah-Jalal (2012) A covariance-based test for shared frailty in multivariate lifetime data Journal of Applied Statistics, 38, (11), pp. 2509-2522. (doi:10.1080/02664763.2012.720966).

Record type: Article

Abstract

We decompose the score statistic for testing for shared finite variance frailty in multivariate lifetime data into marginal and covariance-based terms. The null properties of the covariance-based statistic are derived in the context of parametric lifetime models. Its non-null properties are estimated using simulation and compared with those of the score test and two likelihood ratio tests when the underlying lifetime distribution is Weibull. Some examples are used to illustrate the covariance-based test. A case is made for using the covariance-based statistic as a simple diagnostic procedure for shared frailty in a parametric exploratory analysis of multivariate lifetime data and a link to the bivariate Clayton-Oakes copula model is shown.

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More information

e-pub ahead of print date: 23 May 2011
Published date: 13 September 2012
Keywords: finite variance frailty, gamma frailty, multivariate lifetimes, positive stable frailty, proportional hazards, score statistic, survival analysis, weibull distribution
Organisations: Statistics, Statistical Sciences Research Institute, Southampton Statistical Research Inst.

Identifiers

Local EPrints ID: 188275
URI: http://eprints.soton.ac.uk/id/eprint/188275
ISSN: 0266-4763
PURE UUID: a0d548ce-e0bf-4d35-8f17-3757e61b4869

Catalogue record

Date deposited: 24 May 2011 08:10
Last modified: 18 Jul 2017 11:42

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