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2. Your "correct assertion" is a verbatim copy of the statement you are criticizing, and the document you linked is not accessible. So it is not clear what you are trying to say.
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is compact, then all sets of probability measures are tight, not just the singletons (see a couple lines above) and
Prokhorov's theorem is toothless.
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Definition of Tight
Measure given in this article is not the same as Inner Regular Measure. For example, the article says that if we take
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is tight." This arise from the separability of Polish spaces, btw. For instance see Lemma 3.2 in
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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1. Striking out text in articles is not the way to make correction. This does not help anyone.
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322:{\displaystyle \mu (X\setminus K_{\varepsilon })=\mu (\emptyset )=0<\varepsilon }
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508:Hi, what you say makes sense but:
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349:{\displaystyle \varepsilon : -->
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
