概率空间上的几乎可测函数

Pub Date : 2024-01-01 DOI:10.1515/gmj-2023-2120

Alexander Kharazishvili

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引用次数: 0

摘要

引入了概率空间上（实值）几乎可测函数的概念，并考虑了它们的一些性质。研究表明，任何几乎可测函数都可被视为[A. Kharazishvili, On some version of random variable, Trans.Kharazishvili, On some version of random variables, Trans.A. Razmadze Math.177 2023, 1, 143-146].

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Almost measurable functions on probability spaces

The notion of (real-valued) almost measurable functions on probability spaces is introduced and some of their properties are considered. It is shown that any almost measurable function may be treated as a quasi-random variable in the sense of [A. Kharazishvili, On some version of random variables, Trans. A. Razmadze Math. Inst. 177 2023, 1, 143–146].

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