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Strong invariance under a Bayesian point of view

Author

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  • Montanero, Jesús
  • Nogales, Agustín G.
  • Oyola, José A.
  • Pérez, Paloma

Abstract

Sufficiency on the parameter space is used to extend to the Bayesian case a strong notion of invariance, obtaining the sufficiency of the almost-invariant [sigma]-field . We also give some results about the completeness of , giving in passing two partial answers to a question of J.K. Ghosh.

Suggested Citation

  • Montanero, Jesús & Nogales, Agustín G. & Oyola, José A. & Pérez, Paloma, 2003. "Strong invariance under a Bayesian point of view," Statistics & Probability Letters, Elsevier, vol. 61(2), pages 155-162, January.
    • Handle: RePEc:eee:stapro:v:61:y:2003:i:2:p:155-162
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    References listed on IDEAS

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    1. Nogales, Agustín G. & Oyola, José A. & Pérez, Paloma, 2001. "A weak notion of equivalence in Bayesian statistical theory," Statistics & Probability Letters, Elsevier, vol. 53(4), pages 401-407, July.
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    Cited by:

    1. Chacón, J.E. & Montanero, J. & Nogales, A.G. & Pérez, P., 2007. "Stability under products of sufficient, minimal sufficient and complete [sigma]-fields in the Bayesian case," Statistics & Probability Letters, Elsevier, vol. 77(7), pages 710-716, April.

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