A serially correlated gamma frailty model for longitudinal count data

Robin Henderson

Biometrika, 2003, vol. 90, issue 2, 355-366

Abstract: A Poisson-gamma model is introduced to account for between-subjects heterogeneity and within-subjects serial correlation occurring in longitudinal count data. The model extends the usual time-constant shared frailty approach to allow time-varying serially correlated gamma frailty whilst retaining standard marginal assumptions. A composite likelihood approach to estimation and testing for serial correlation is proposed. The work is motivated by a clinical trial on patient-controlled analgesia where the number of analgesic doses taken by hospital patients in successive time intervals following abdominal surgery is recorded. Copyright Biometrika Trust 2003, Oxford University Press.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:oup:biomet:v:90:y:2003:i:2:p:355-366

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