Question

Prove the upper bound of expectations using almost sure convergence

score 147 · Answer 1 · 2026-03-24 23:44:37

147

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Prove the upper bound of expectations using almost sure convergence

Published on 24 Mar 2026 - 23:44

score 83 · Answer 2 · 2026-03-28 11:54:06

83

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Convergence in distribution of $\frac{1}{n}max(X_n,Y_n)$, where $X_n\text{ }U(-n-5,4n-5)$, $Y_n\text{ }Poiss(10n)$

Published on 28 Mar 2026 - 11:54

score 167 · Answer 3 · 2026-03-28 09:45:44

167

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Discuss the strong and weak convergence of $B=\{u\in W_0^{1,2}(0,1):||u'||_{L^2}\le1\}$

Published on 28 Mar 2026 - 9:45

score 64 · Answer 4 · 2026-03-25 19:05:21

64

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Non convergence of a series of random variables

Published on 25 Mar 2026 - 19:05

score 173 · Answer 5 · 2018-12-04 19:03:38

173

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Dominated convergence exercise

Published on 04 Dec 2018 - 19:03

score 76 · Answer 6 · 2018-12-04 20:20:03

76

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Find $\lim_{n\to \infty} \int_{\mathbb R}\frac{n \log^{4}(x)}{n+nx+x^2}\chi_{[0,\infty[}d\lambda(x)$

Published on 04 Dec 2018 - 20:20

score 233 · Answer 7 · 2026-04-01 13:30:21

233

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Convergence and Measure

Published on 01 Apr 2026 - 13:30

score 1k · Answer 8 · 2026-04-01 13:30:50

1k

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a.e. point wise convergence on finite measured set implies convergence in measure

Published on 01 Apr 2026 - 13:30

score 76 · Answer 9 · 2026-03-26 06:19:01

76

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Generated space by the harmonic oscillators $e^{iw}$.

Published on 26 Mar 2026 - 6:19

score 36 · Answer 10 · 2026-04-02 14:18:04

36

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Calculating convergence of a sum

Published on 02 Apr 2026 - 14:18

score 97 · Answer 11 · 2026-03-25 20:34:22

97

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Show (F$_{k}$) converges uniformly to some continuous function

Published on 25 Mar 2026 - 20:34

score 73 · Answer 12 · 2018-12-05 12:49:20

73

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Prove/Disprove $\sum a_n$ and $\sum b_n$ converge together iff $\underset{n\to \infty }{\mathop{\lim }}\,{{a}_{n}/b_n } = 1$

Published on 05 Dec 2018 - 12:49

score 1.6k · Answer 13 · 2026-03-24 23:46:08

1.6k

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Prove that almost surely $\lim\sup_{n\to\infty}\frac{X_n}{\ln n}=\frac{1}{\lambda}$

Published on 24 Mar 2026 - 23:46

score 71 · Answer 14 · 2018-12-05 16:12:53

71

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Prove that $\lim_{n \to \infty} a_n = -\infty \ $ if $ \ \ \forall n\geq m: \ a_n \leq a_m +2017$, and $-\infty$ is a substantial limit of $a_n$

Published on 05 Dec 2018 - 16:12

score 279 · Answer 15 · 2026-03-26 09:40:12

279

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Convergence of the Newton-Raphson method applied to a nonlinear system

Published on 26 Mar 2026 - 9:40

List Question

Prove the upper bound of expectations using almost sure convergence

Convergence in distribution of $\frac{1}{n}max(X_n,Y_n)$, where $X_n\text{ }U(-n-5,4n-5)$, $Y_n\text{ }Poiss(10n)$

Discuss the strong and weak convergence of $B=\{u\in W_0^{1,2}(0,1):||u'||_{L^2}\le1\}$

Non convergence of a series of random variables

Dominated convergence exercise

Find $\lim_{n\to \infty} \int_{\mathbb R}\frac{n \log^{4}(x)}{n+nx+x^2}\chi_{[0,\infty[}d\lambda(x)$

Convergence and Measure

a.e. point wise convergence on finite measured set implies convergence in measure

Generated space by the harmonic oscillators $e^{iw}$.

Calculating convergence of a sum

Show (F$_{k}$) converges uniformly to some continuous function

Prove/Disprove $\sum a_n$ and $\sum b_n$ converge together iff $\underset{n\to \infty }{\mathop{\lim }}\,{{a}_{n}/b_n } = 1$

Prove that almost surely $\lim\sup_{n\to\infty}\frac{X_n}{\ln n}=\frac{1}{\lambda}$

Prove that $\lim_{n \to \infty} a_n = -\infty \ $ if $ \ \ \forall n\geq m: \ a_n \leq a_m +2017$, and $-\infty$ is a substantial limit of $a_n$

Convergence of the Newton-Raphson method applied to a nonlinear system

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