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A weak notion of equivalence in Bayesian statistical theory

Author

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

Abstract

This paper introduces a weak notion of equivalence of [sigma]-fields in a Bayesian framework. Some results and examples are given to show the usefulness of this concept in the study of the relationship between the independence of two [sigma]-fields and the conditional independence given its intersection.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:53:y:2001:i:4:p:401-407
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    References listed on IDEAS

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    1. Nogales, Agustín G. & Oyola, José A. & Pérez, Paloma, 2000. "On conditional independence and the relationship between sufficiency and invariance under the Bayesian point of view," Statistics & Probability Letters, Elsevier, vol. 46(1), pages 75-84, January.
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    Cited by:

    1. 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.

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