Conditional probability and probability updating

被引：0
|
作者：
Gutierrez, Jose Manuel [1 ]
机构：
[1] Univ Salamanca, Fac Econ & Empresa, Salamanca 37007, Spain
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2023年 / 117卷 / 04期
关键词：
Conditional probability; Probability updating; Bayesian inference;
D O I：
10.1007/s13398-023-01462-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The conditional probability formula is supposed to reflect the correct updating of probability assignments when new information is incorporated. Starting from a non-atomic probability measure, it is proved that the conditional probability formula provides the only transformed probability measure satisfying a "minimum requirement" relational assumption. This result applies to the standard Bayesian parametric model.
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页数：6
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