Quantile regression for longitudinal data based on latent Markov subject-specific parameters

  • Authors:
  • Alessio Farcomeni

  • Affiliations:
  • Sapienza-University of Rome, Rome, Italy

  • Venue:
  • Statistics and Computing
  • Year:
  • 2012

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Abstract

We propose a latent Markov quantile regression model for longitudinal data with non-informative drop-out. The observations, conditionally on covariates, are modeled through an asymmetric Laplace distribution. Random effects are assumed to be time-varying and to follow a first order latent Markov chain. This latter assumption is easily interpretable and allows exact inference through an ad hoc EM-type algorithm based on appropriate recursions. Finally, we illustrate the model on a benchmark data set.