A fexible marginal rate model for recurrent events with a zero-recurrence proportion

• Ivo Sousa-Ferreira ^[1] ; Cristina Rocha ; Ana Maria Abreu ^[2]
  1. [1] Universidade de Lisboa

     Universidade de Lisboa

     Socorro, Portugal

     
  2. [2] Universidade da Madeira

     Universidade da Madeira

     São Roque, Portugal

     
• Localización: Proceedings of the 35th International Workshop on Statistical Modelling : July 20-24, 2020 Bilbao, Basque Country, Spain / Itziar Irigoien Garbizu (ed. lit.), Dae-Jin Lee (ed. lit.), Joaquín Martínez Minaya (ed. lit.), María Xosé Rodríguez Álvarez (ed. lit.), 2020, ISBN 978-84-1319-267-3, págs. 426-429
• Idioma: inglés
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• Resumen

  • A new marginal rate model for gap times between recurrent events is proposed, which is derived from a non-homogeneous Poisson process (NHPP).

    Since the distribution of the gap times often requires exible shapes of the rate function, the approach taken here is to model the baseline log-cumulative rate function as a restricted cubic spline function of log time. Moreover, a proportion of subjects that will never experience any recurrence is incorporated. The proposed model allows covariates in both the latency and incidence components. An application to a real data set is also provided for illustrative purposes.