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Jan 5, 2023 at 16:13 history edited Ralph CC BY-SA 4.0
Largest replaced with smallest
Jan 5, 2023 at 16:12 comment added Ralph Smallest, of course!
Jan 5, 2023 at 16:00 comment added Henry should (2) be "The smallest closed set $S$ such that $\Pr(X\in S)=1$" ?
Jan 5, 2023 at 15:58 history edited User1865345
edited tags
Jan 5, 2023 at 15:56 answer added User1865345 timeline score: 0
Jan 5, 2023 at 15:42 history edited Ralph CC BY-SA 4.0
added 4 characters in body
Jan 5, 2023 at 15:26 comment added whuber The equivalence is a standard exercise in point-set topology intended to help you understand the definition of a closed set and the closure of a subset. For an analysis that sheds light on question 2, see my recent post (about the zeros of density functions) at stats.stackexchange.com/a/600802/919. However, that doesn't really answer the question. I believe a "fat Cantor set" can be used to construct counterexamples.
S Jan 5, 2023 at 14:56 review First questions
Jan 5, 2023 at 15:09
S Jan 5, 2023 at 14:56 history asked Ralph CC BY-SA 4.0