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The Markovian Pattern of Social Deprivation for Mexicans with Diabetes

Author

Listed:
  • José Carlos Ramírez

    (Economic Studies Department, El Colegio de la Frontera Norte, Tijuana 22560, Mexico)

  • Francisco Ortiz-Arango

    (ECEE, Universidad Panamericana, CdMx 03920, Mexico)

  • Leovardo Mata

    (Anáhuac-Mexico-Norte University, Naucalpan de Juárez 52786, Mexico)

Abstract

This paper aims to determine the Markovian pattern of the factors influencing social deprivation in Mexicans with Type 2 diabetes mellitus (DM2). To this end, we develop a methodology to meet the theoretical and practical considerations involved in applying a Hidden Markov Model that uses non-panel data. After estimating the latent states and ergodic vectors for diabetic and non-diabetic populations, we find that the long-term state-dependent probabilities for people with DM2 show a darker perspective of impoverishment than the rest of the Mexican population. In the absence of extreme events that modify the present probability structure, the Markovian pattern confirms that people with DM2 will most likely become the poorest of Mexico’s poor.

Suggested Citation

  • José Carlos Ramírez & Francisco Ortiz-Arango & Leovardo Mata, 2021. "The Markovian Pattern of Social Deprivation for Mexicans with Diabetes," Mathematics, MDPI, vol. 9(7), pages 1-17, April.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:7:p:780-:d:529663
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    References listed on IDEAS

    as
    1. Nguyet Nguyen & Dung Nguyen, 2015. "Hidden Markov Model for Stock Selection," Risks, MDPI, vol. 3(4), pages 1-19, October.
    2. Ben Pelzer & Rob Eisinga & Philip Hans Franses, 2001. "Estimating Transition Probabilities from a Time Series of Independent Cross Sections," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 55(2), pages 249-262, July.
    3. Guido W. Imbens, 2015. "Matching Methods in Practice: Three Examples," Journal of Human Resources, University of Wisconsin Press, vol. 50(2), pages 373-419.
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