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May 12 |
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A Boundary crossing result for discrete brownian bridge I don't have time to check it all out right now, but it seems it may help. I'll award the bounty to you so it does not go to waste, and upvote\accept when I have time to read it. Thank you |
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May 6 |
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A Boundary crossing result for discrete brownian bridge @Tim You may be right, in fact, I've shown the result for brownian motion without using time scaling and inversion properties, and educed that it should hold for discrete case since the process at integer times are equal in law. There might be more to it though |
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May 5 |
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Is it possible to do this integral? First numerator should be $16$ after we have |
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Apr 29 |
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Uniformly distributed variable Then, as Did already answered, it is just the definition of the expected value of a function of $\Phi$. |
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Apr 29 |
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Uniformly distributed variable is there a $2$ missing inside the cosinus that is the integrand? |
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Apr 29 |
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$\eta$ is a random variable with $\Bbb{E}[\eta]=0$. Does $\Bbb{E}[e^{\eta}]=e^{\Bbb{E[\eta]}}$? You mean in general or in this particular example? |
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Apr 29 |
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Probability Game Based on the show, $Asp=Bsp=1$ |
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Apr 27 |
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why is variance so famous that it appears in almost half of the probability textbook? What is this other half of textbook I haven't heard of? |
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Apr 26 |
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Understanding $P(X=n)=0$ when $X$ follows a continuous distribution An event having probability zero doesn't mean that it is impossible, more that it will almost never occur. Repeat your experiment and you should almost never get that particular number $n$ again. |
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Apr 19 |
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infinite sum limit how to find the following You probably mean $k/n$. |
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Apr 17 |
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Does there exist a finite fair gamble game with one dishonest coin? No problem, you accept whatever answers you want, and can upvote as many as you wish. Happy to have been helpful |
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Apr 17 |
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Does there exist a finite fair gamble game with one dishonest coin? It will depend on what is fixed. If you fix $N$ and have the liberty to choose the coin, then yes you can, as my answer shows. However if you have the coin at your disposition and must find $N$, it might not be possible, as shown by Ross. |
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Apr 17 |
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Does there exist a finite fair gamble game with one dishonest coin? @jonathan Rich The answer provided by Ross shows that for certain $p$ it can be impossible to do. I take any $N$ and show that you can find a $p$. |
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Mar 23 |
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This population will be extinct or not One can show that almost surely, there will be extinction of the population if the mean of the reproduction distribution is less than or equal to $1$, provided $0$ child is possible. Unfortunately i can't type the proof, but it has to do with fixed point of the generating function of the reproduction law. See for example cims.nyu.edu/~csplash/data/notes/2011-24.pdf |
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Mar 23 |
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This population will be extinct or not This is a special case of branching process, look out this question for some insight: math.stackexchange.com/questions/295353/branching-process |
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Mar 20 |
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$\int \frac{x^3}{\sqrt{2 -x}}dx , \int \cosh^2(x)dx ,\int \frac{x^2 + 1}{x^2 + 2x + 2}dx$ I think you should be having $\cosh(x)\sinh(x)$ in your integration by parts. Also you can use directly $u=\sqrt{2-x}$ to take care of the root in the first one but that is just preference. |
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Mar 11 |
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Random Walk probability game That is good to know! |
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Mar 11 |
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Random Walk probability game @joriki There should be a search function inside our past answers |
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Mar 11 |
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Random Walk probability game @joriki That was me being lazy to type the argument, googling for it instead |
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Mar 11 |
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Random Walk probability game This might help math.stackexchange.com/questions/116446/random-walk-on-n-cycle |
