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Journal of Statistical Theory and Practice

, Volume 6, Issue 4, pp 621–635 | Cite as

Stable Distributions for Open Populations Subject to Periodical Reclassifications

  • Gracinda Rita Guerreiro
  • João Tiago Mexia
  • Maria De Fátima Miguens
Article

Abstract

Using a Markov model, we study the evolution of open populations subject to periodical reclassifications considering a random number of entrances. In this paper, we focus on the estimation of the subpopulations’ relative sizes, obtaining maximum likelihood (ML) estimators, asymptotic distributions, and confidence regions. We show, under general conditions, that the stable distribution is dependent on the rate of entrances to the population. We illustrate the model by estimating the evolution of a population of a pension fund beneficiaries.

Keywords

Markov chains Stochastic vortices Parameter inference Open populations Delta method 

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Copyright information

© Grace Scientific Publishing 2012

Authors and Affiliations

  • Gracinda Rita Guerreiro
    • 1
  • João Tiago Mexia
    • 1
  • Maria De Fátima Miguens
    • 1
  1. 1.Departamento de MatemáticaUniversidade Nova de Lisboa, Faculdade de Ciências e Tecnologia, CMA-Center of Mathematics and Applications of FCT-UNLCaparica, LisboaPortugal

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