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Rectangular latent Markov models for time-specific clustering

Author

Listed:
  • Gordon Anderson
  • Alessio Farcomeni
  • Grazia Pittau
  • Roberto Zelli

Abstract

A latent Markov model admitting variation in the number of latent states at each time period is introduced. The model facilitates subjects switching latent states at each time period according to an inhomogeneous first-order Markov process, wherein transition matrices are generally rectangular. As a consequence, latent groups can merge, split, or be re-arranged. An application analyzing the progress of well-being of nations, as measured by the three dimensions of the Human Development Index over the last 25 years illustrates the approach.

Suggested Citation

  • Gordon Anderson & Alessio Farcomeni & Grazia Pittau & Roberto Zelli, 2017. "Rectangular latent Markov models for time-specific clustering," Working Papers tecipa-589, University of Toronto, Department of Economics.
    • Handle: RePEc:tor:tecipa:tecipa-589
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    References listed on IDEAS

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    Cited by:

    1. Francesco Dotto & Alessio Farcomeni & Maria Grazia Pittau & Roberto Zelli, 2019. "A dynamic inhomogeneous latent state model for measuring material deprivation," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 182(2), pages 495-516, February.

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    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • I3 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty

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