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.

A notion of conditional probability and some of its consequences

Pietro Rigo
In corso di stampa

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.
In corso di stampa
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1262986
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