AStA Advances in Statistical Analysis

, Volume 102, Issue 2, pp 289–304 | Cite as

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

  • Moumita Chatterjee
  • Sugata Sen Roy
Original Paper


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.


Alternating recurrent events Cox’s proportional hazard model Cystic fibrosis data 

Mathematics Subject Classification

Primary 62N01 



The authors are grateful to the editors and the referees for their helpful comments, which went a long way in improving the paper.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Department of Statistics and InformaticsAliah UniversityKolkataIndia
  2. 2.Department of StatisticsUniversity of CalcuttaKolkataIndia

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