# Mark

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 Apr10 accepted About the notation in probability theory Apr2 comment Random variables with random indexes thanks Liu Gang, it was helpful, what you suggest seems like true. Then I will try to derive the case that $I_n$ is a Markov process. Apr2 asked Random variables with random indexes Mar6 comment About the notation in probability theory Thanks Did! I am more or less aware of this notation but what I couldn't make sense is for instance what is the meaning of $P(\{\omega\in\Omega\mid \exists n\geqslant1,X_n(\omega)=0\})$ precisely? There exists $n\geq 1$ s.t. $X_n = 0$ with probability one? How this implies that the walk will come to the position $X_n = 0$ infinitely often? Mar5 revised About the notation in probability theory added 131 characters in body Mar5 asked About the notation in probability theory Feb19 accepted Convergence of a stochastic process to another? Feb19 comment Convergence of a stochastic process to another? thanks! I did not think about this. Feb19 asked Convergence of a stochastic process to another? Nov17 asked A question related to independence and expectation Nov13 revised Show that the following are monotone classes added 15 characters in body Nov13 accepted If $\{f_j\}$ is a sequence of measurable functions, then $\sup_j f_j(x)$ is measurable. Nov13 asked Show that the following are monotone classes Nov13 comment What is this set? Hello, thanks for the intuition. I also wonder about what is the above set precisely? Can you decode that? Nov13 comment $2(1+abc)+\sqrt2(1+a^2)(1+b^2)(1+c^2)\ge(1+a)(1+b)(1+c)$ for real numbers $a,b,c$ Note to the translator: The translation is true. Nov12 comment Independence in infinite sequence of random variables @n.c. I am a sort of beginner. In the proof, it says "Now it is clear that the sets A which satisfies the above relation form a monotone class." or "A second application of the theorem shows". But I am not sure how the theorem is applied rigorously. Nov12 comment Derivative of trace of a matrix You can see the matrix cookbook. Nov12 revised Independence in infinite sequence of random variables deleted 33 characters in body Nov12 comment Independence in infinite sequence of random variables Thanks for the correction. Is it OK now? Nov12 revised Independence in infinite sequence of random variables added 94 characters in body