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A notion of conditional probability and some of its consequences

Author

Listed:
  • Patrizia Berti

    (Universita’ di Modena e Reggio-Emilia)

  • Emanuela Dreassi

    (Università degli Studi di Firenze)

  • Pietro Rigo

    (Universita’ di Pavia)

Abstract

An alternative notion of conditional probability (say AN) is discussed and investigated. If compared with the usual notion (regular conditional distributions), AN gives up the measurability constraint but requires a properness condition. An existence result for AN is provided. Also, some consequences of AN are pointed out, with reference to Bayesian statistics, exchangeability and compatibility.

Suggested Citation

  • Patrizia Berti & Emanuela Dreassi & Pietro Rigo, 2020. "A notion of conditional probability and some of its consequences," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 3-15, June.
    • Handle: RePEc:spr:decfin:v:43:y:2020:i:1:d:10.1007_s10203-019-00256-9
    DOI: 10.1007/s10203-019-00256-9
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    References listed on IDEAS

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    1. Berti, Patrizia & Dreassi, Emanuela & Rigo, Pietro, 2014. "Compatibility results for conditional distributions," Journal of Multivariate Analysis, Elsevier, vol. 125(C), pages 190-203.
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    Cited by:

    1. Áron Tóbiás, 2023. "Cognitive limits and preferences for information," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 46(1), pages 221-253, June.
    2. Fabrizio Maturo & Pierpaolo Angelini, 2023. "Aggregate Bound Choices about Random and Nonrandom Goods Studied via a Nonlinear Analysis," Mathematics, MDPI, vol. 11(11), pages 1-30, May.
    3. Gianluca Cassese & Pietro Rigo & Barbara Vantaggi, 2020. "A special issue on the mathematics of subjective probability," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 1-2, June.
    4. Pierpaolo Angelini & Fabrizio Maturo, 2020. "Non-Parametric Probability Distributions Embedded Inside of a Linear Space Provided with a Quadratic Metric," Mathematics, MDPI, vol. 8(11), pages 1-17, October.

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    More about this item

    Keywords

    Bayesian inference; Conditional probability; Disintegrability; Regular conditional distribution; Strategy; Sufficiency;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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