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 2d revised Why (and how) to choose $a$ in $\varrho(t):=a 1_{[0,1]}(t)\exp\left(\frac 1{t^2-1}\right)$ such that $\int_{\mathbb{R}^n}\varrho(|x|)\;dx=1$? edited title 2d revised How to prove that $\sum\limits_{n=1}^{\infty}\frac{n+4^n}{n+6^n}$ converge by basics test (comparison, integral, ratio, root) edited title May1 revised Local martingale but not martingale added 130 characters in body; edited tags May1 revised Probability distribution of $\int_0^t \frac{W_s}{s} \,ds$ added 14 characters in body May1 revised what is determinantal process? deleted 38 characters in body May1 revised Evaluating $\lim\limits_{n\rightarrow \infty} \frac1{n^2}\ln \left( \frac{(n!)^n}{(0!1!2!…n!)^2} \right)$ added 114 characters in body; edited title May1 revised Discuss whether the series $\sum \left[(\pi/2)^a - (\arctan n)^a\right]$ converges or not, based on the value of $a$ deleted 8 characters in body; edited title Apr30 revised Proving conditional distributions are normal added 12 characters in body Apr30 revised Proving conditional distributions are normal added 53 characters in body Apr29 revised Need help with the sum of the binomial coefficients: ${k+l \choose l}$ added 28 characters in body Apr29 revised Joint pdf of N > 1 i.i.d. random variables isotropic if and only if they are centered gaussian? added 37 characters in body; edited tags; edited tags Apr29 revised For which values of $\alpha$ is $\int_{1}^{\infty}f(x)\, \mathrm{d}x$ convergent? added 172 characters in body Apr29 revised Is the variance of a sum of infinitely many independent random variables the sum of their variances? added 1 character in body Apr29 revised prove $\lim\limits_{x\to\infty}\frac{1}{x}\int_0^xf(t)dt=a$ added 21 characters in body Apr26 revised Find the sum of a series deleted 11 characters in body Apr26 revised How to show the series of expectations for truncated symmetric random variables is convergent added 37 characters in body; edited title Apr26 revised Mean return time in Markov chain deleted 27 characters in body Apr26 revised Find closed form formula rolled back to a previous revision Apr26 revised Show the closed form of the sum $\sum_{i=0}^{n-1} i x^i$ rolled back to a previous revision Apr26 revised I need help to solve this complex question rolled back to a previous revision