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Conditional probability in Renyi spaces

2019/07/22 by Taraldsen, Gunnar
#FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR) #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.1907.11038

Abstract

In 1933 Kolmogorov constructed a general theory that defines the modern concept of conditional probability. In 1955 Renyi fomulated a new axiomatic theory for probability motivated by the need to include unbounded measures. This note introduces a general concept of conditional probability in Renyi spaces. Keywords: Measure theory; conditional probability space; conditional expectation

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