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Results tagged with measure-theory
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user 530967
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
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Why do we need to define a random variable as a function?
I recently learned the mathematical definition of a random variable, namely:
A random variable is a measurable function $X: \Omega \rightarrow \mathbb{R}$ whose domain $\Omega$ is equipped with a $\si …
