Timeline for Show convergence result
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Feb 16 at 10:38 | comment | added | Star | Thanks. Could you revise your answer based on that? Also, I cannot assume that $(p_n)$ almost surely converges. This is indeed why this question is difficult. | |
| Feb 16 at 9:48 | comment | added | Claude Chaunier | The same reasoning also works whenever $(p_n)$ almost surely doesn't converge. @GoldenRetrieverLover's answer seems to address the other extreme case when $(p_n)$ almost surely converge (I wish I could undo my downvote). Now what happens if the probability space is a mixture in between? | |
| Feb 16 at 9:33 | comment | added | Star | Thanks Claude. Why is it complicated to show the general case? In my question, I am assuming that $A$ is non-empty, so the limit above exists for at least one $x$. | |
| Feb 16 at 9:25 | history | edited | Claude Chaunier | CC BY-SA 4.0 |
Mentionning the restrictive assumption on which the whole answer depends.
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| Feb 16 at 8:59 | history | edited | Claude Chaunier | CC BY-SA 4.0 |
Fully answered the original question and clarification.
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| Feb 16 at 8:53 | history | edited | Claude Chaunier | CC BY-SA 4.0 |
Fully answered the original question.
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| Feb 15 at 22:58 | history | edited | Claude Chaunier | CC BY-SA 4.0 |
Got the conclusion wrong.
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| Feb 15 at 22:51 | history | answered | Claude Chaunier | CC BY-SA 4.0 |