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A class of flat prior distributions for the Poisson‐gamma hierarchical model

Author

Listed:
  • Fernando O. Schmitt
  • Gustavo L. Gilardoni
  • J.A.A. Andrade

Abstract

A wide class of prior distributions for the Poisson‐gamma hierarchical model is proposed. Prior distributions in this class carry vague information in the sense that their tails exhibit slow decay. Conditions for the propriety of the resulting posterior density are determined, as well as for the existence of posterior moments of the Poisson rate of either an observed or an unobserved unit.

Suggested Citation

  • Fernando O. Schmitt & Gustavo L. Gilardoni & J.A.A. Andrade, 2019. "A class of flat prior distributions for the Poisson‐gamma hierarchical model," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 73(3), pages 414-433, August.
    • Handle: RePEc:bla:stanee:v:73:y:2019:i:3:p:414-433
    DOI: 10.1111/stan.12176
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