A notion of conditional probability and some of its consequences

Patrizia Berti (), Emanuela Dreassi () and Pietro Rigo ()
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Patrizia Berti: Universita’ di Modena e Reggio-Emilia
Emanuela Dreassi: Università degli Studi di Firenze
Pietro Rigo: Universita’ di Pavia

Decisions in Economics and Finance, 2020, vol. 43, issue 1, No 2, 3-15

Abstract: 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.

Keywords: Bayesian inference; Conditional probability; Disintegrability; Regular conditional distribution; Strategy; Sufficiency; 60A05; 60A10; 91B06; 62F15 (search for similar items in EconPapers)
JEL-codes: C11 C44 C6 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10203-019-00256-9

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