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 Apr 11 accepted Exponential Taylor series with $k$ step Apr 8 awarded Yearling Apr 8 asked Exponential Taylor series with $k$ step Apr 4 comment Cesaro mean of Cesaro means Crostul gave a nice answer but ignored the conditions of positivity and boundedness. Does anyone know if it possible to construct a sequence keeping the conditions? Apr 2 comment Cesaro mean of Cesaro means @Crostul: Thank you for the answer but I am looking for bounded positive sequences. Do you think it is possible to construct such a sequence? Mar 31 asked Cesaro mean of Cesaro means Mar 13 accepted Example: satisfying $E(X_{n+1}\mid X_n)=X_n$ but not a martingale Mar 12 asked Example: satisfying $E(X_{n+1}\mid X_n)=X_n$ but not a martingale Nov 26 awarded Popular Question Nov 25 comment Inequality for the expected values of norm of stochastic processes Thank you very much for your answer. I didn't get the end of the proof. Why is it true that $u_x$ is harmonic on the ball $\|y\|\leqslant\|x\|$? How it implies that for every $\|y\|\leqslant\|x\|$, $u_x(y)=h(x)$? Nov 24 accepted Inequality for the expected values of norm of stochastic processes Nov 16 asked Inequality for the expected values of norm of stochastic processes Sep 30 awarded Nice Question Jul 2 awarded Curious Apr 14 comment Limit of ratio of random sequences @egreg I also know that $a_n=n^{1/\alpha}\tilde{L}(n)$, with $\tilde{L}(n)$ slowly varying at infinity. Apr 13 comment Limit of ratio of random sequences @egreg It is already the result of my effort, since I reduced a more complex problem to this one, but unfortunately I got stuck here. I would appreciate if somebody could help me. Apr 12 awarded Yearling Apr 12 asked Limit of ratio of random sequences Mar 17 comment Application of Central Limit Theorem for nonnegative RV What kind of convergence do you mean? I suppose it is meant to be weak convergence. Mar 17 revised Application of Central Limit Theorem for nonnegative RV correcting typo