Gibarian
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 Sep 30 awarded Explainer Feb 22 awarded Yearling Aug 11 revised How to integrate a Wiener process that freezes at a determined time? Fixed typos Aug 11 suggested approved edit on How to integrate a Wiener process that freezes at a determined time? Aug 7 comment Sum of two stopping times is a stopping time? There's a typo in the union index, $s$ should be $r$. Other than that I like this answer, because it works also for filtrations that are not necessarily right-continuous and it uses only one auxiliary rational number index. Jul 25 revised Conditional expectation proof using definition added 23 characters in body Jul 25 answered Conditional expectation proof using definition Jul 24 comment You roll a die until the sum of all your rolls is greater than 13. What number are you most likely to land on, on the last roll? Did you mean to ask which of the numbers $14, 15, \dots, 19$ is most likely to be the final sum when the game ends? Then of course $14$ is the answer since it is always one of the possible outcomes, if the next roll has a chance to end the game. Sorry for possibly misunderstanding your question initially. Jul 23 comment You roll a die until the sum of all your rolls is greater than 13. What number are you most likely to land on, on the last roll? If your next roll has a chance to push your sum over 13, then 6 is always one of the outcomes that will do it. Therefore 6 is most likely to be your last roll when you start the game. Jul 16 comment Probability brainteaser @EmanuelePaolini Why would you ever pay two dollars to play a game where you can only win one dollar? In this game you will either lose one or three dollars, if you pay two to play. Jun 1 reviewed No Action Needed Simplifying a quotient of complex numbers Jun 1 comment Implications between $\mathbb P [\tau < \infty] =1$ and $\tau \in L_1 (\mathbb P)$ You've identified one problem with your reasoning, but even if that inequality were true I don't see how it would prove that $\tau$ is finite with probability one. May 26 revised A basic probability doubt on independence Corrected a typo May 26 suggested approved edit on A basic probability doubt on independence May 5 comment Naive question about probability @par It's perfectly standard practice to assume a uniform distribution, if one isn't explicitly given. Apr 27 awarded Commentator Apr 27 comment Probability theory problem Sorry, @Alex, but this is not correct. The correct answer is found after applying Bayes' theorem, but I don't think anyone should give this question a complete answer since it seems to be a verbatim copy of homework and a sloppy one at that. Apr 12 answered minimal infinite sigma algebra Mar 31 reviewed No Action Needed $\sigma$-algebra generated by one-point sets Mar 30 reviewed No Action Needed Operating on a set of sequences - such as adding sequences and so on possible even when sequence is coded as number?