Thomas Lumley • 3/7/2015

What does measurability mean?

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This article examines the concept of measurability in mathematical statistics, arguing that while many technical proofs rely on it, its practical importance for real-world data analysis is limited. It contrasts measurability with other statistical assumptions like continuity and boundedness, which have clearer intuitive meanings, and discusses the theoretical foundations involving the Axiom of Choice and the nature of real numbers.

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#statistics #Probability Theory #Mathematical Proofs
What does measurability mean?

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