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), 2509-2522. (doi:10.1080/02664763.2012.720966).
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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.
|Keywords:||finite variance frailty, gamma frailty, multivariate lifetimes, positive stable frailty, proportional hazards, score statistic, survival analysis, weibull distribution|
|Subjects:||H Social Sciences > HA Statistics
Q Science > QA Mathematics
|Divisions:||University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
Faculty of Social and Human Sciences > Mathematical Sciences > Statistics
Faculty of Social and Human Sciences > Southampton Statistical Sciences Research Institute
|Date Deposited:||02 Nov 2012 11:36|
|Last Modified:||27 Mar 2014 20:26|
|Publisher:||Southampton Statistical Sciences Research Institute, University of Southampton|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
Available Versions of this Item
A covariance-based test for shared frailty in multivariate lifetime data. (deposited 24 May 2011 08:10)
- A covariance-based test for shared frailty in multivariate lifetime data. (deposited 02 Nov 2012 11:36) [Currently Displayed]
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