Estimating the hazard functions of two alternating recurrent events in the presence of covariates

Moumita Chatterjee () and Sugata Sen Roy ()
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Moumita Chatterjee: Aliah University
Sugata Sen Roy: University of Calcutta

AStA Advances in Statistical Analysis, 2018, vol. 102, issue 2, No 8, 289-304

Abstract: Abstract The motivation for this paper is a cystic fibrosis data which records a patient’s times to relapse and times to cure under several recurrences of the disease. The idea is to study the impact of covariates on the hazard rates of two alternately occurring events. The dependence between the times to the two events over the different cycles is modeled through an autoregressive-type setup. The partial likelihood function is then derived and the estimators obtained. The estimators are shown to be consistent and asymptotically normal. The technique is applied to study the motivating data. A simulation study is also conducted to corroborate the results.

Keywords: Alternating recurrent events; Cox’s proportional hazard model; Cystic fibrosis data; Primary; 62N01 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10182-017-0316-1

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