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Non-parametric hazard versus non-parametric frailty distribution in modelling recurrence of breast-cancer.

dos Santos, Dirley M. and Davies, Richard B. and Francis, Brian J. (1995) Non-parametric hazard versus non-parametric frailty distribution in modelling recurrence of breast-cancer. Journal of Statistical Planning and Inference, 47 (1-2). pp. 111-127. ISSN 0378-3758

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Abstract

In extending survival models to include frailty effects, the relative merits of parametric and nonparametric formulations are unclear. The epidemiological emphasis (Clayton, Statist. in Med. 7 (1988) 819–841) has been upon nonparametric specification of conditional effects while, within econometrics (Heckman and Singer, Longitudinal Analysis of Labor Market Data (Cambridge University Press, Cambridge, 1985) 39–110) there has been some concern with the nonparametric specification of residual heterogeneity. This paper illustrates and examines some of the issues that arise in applying frailty models to the recurrence of breast cancer. The results suggest marginal advantage for the ‘econometric’ approach provided that there is no interest per se in the frailty distribution. However, it is important to adopt a flexible parametric specification for the conditional hazard and to allow different shaped hazard functions for successive durations.

Item Type: Article
Journal or Publication Title: Journal of Statistical Planning and Inference
Uncontrolled Keywords: Frailty ; Survival model ; Piecewise exponential ; Profile log-likelihood ; Non-parametric mixing distribution ; Recurrent events
Subjects: Q Science > QA Mathematics
Departments: Faculty of Science and Technology > Lancaster Environment Centre
Faculty of Science and Technology > Mathematics and Statistics
ID Code: 19672
Deposited By: ep_ss_importer
Deposited On: 10 Nov 2008 16:00
Refereed?: Yes
Published?: Published
Last Modified: 09 Oct 2013 15:15
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/19672

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