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Since Kolmogorov’s axioms, Probability theory is a legitimate part of Mathematics, with foundations that belong to Measure theory. Although a traditional probabilist works solely with countably additive measures on sigma fields, the concepts of countable additivity and infinite models are by no means natural.

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Measure Theory in Probability

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  • 发表日期：

    2025年

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  • Milan Merkle

摘要

Since Kolmogorov’s axioms, Probability theory is a legitimate part of Mathematics, with foundations that belong to Measure theory. Although a traditional probabilist works solely with countably additive measures on sigma fields, the concepts of countable additivity and infinite models are by no means natural.