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Estimating the hazard functions of two alternately occurring recurrent events

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  • Sugata Sen Roy
  • Moumita Chatterjee

Abstract

Often two recurrent events of equal importance can occur alternately. The life-time patterns of the two events can then be of considerable interest. In this paper, we consider two such events, the inclusion and exclusion of players in a team sport, and study whether there is any inherent pattern in the time-lengths between these events. The life-time distributions are modelled and methods of estimating the model parameters suggested taking into account any relationship in the pattern of recurrence. The results are then applied to the inclusion and exclusion of players in the Indian national cricket team. As further illustration, a simulation study is made. Broad application areas are identified both in the introduction and conclusion.

Suggested Citation

  • Sugata Sen Roy & Moumita Chatterjee, 2015. "Estimating the hazard functions of two alternately occurring recurrent events," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(7), pages 1547-1555, July.
    • Handle: RePEc:taf:japsta:v:42:y:2015:i:7:p:1547-1555
    DOI: 10.1080/02664763.2014.1001329
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    1. Lei Liu & Robert A. Wolfe & Xuelin Huang, 2004. "Shared Frailty Models for Recurrent Events and a Terminal Event," Biometrics, The International Biometric Society, vol. 60(3), pages 747-756, September.
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    1. Moumita Chatterjee & Sugata Sen Roy, 2018. "Estimating the hazard functions of two alternating recurrent events in the presence of covariates," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 102(2), pages 289-304, April.

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