List questions from weak-convergence

Published on 25 Mar 2026 - 4:38

310

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Why weak convergence and a.e. convergence imply the convergence of this integral?

Published on 01 Dec 2018 - 16:05

141

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Convergence in distribution of sum of random, independent variables.

Published on 02 Dec 2018 - 20:44

37

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If $E[h(M_n)]\to h(x)$ for all bounded and continuous functions $h$ then $M_n\to x$ in probability

Published on 04 Dec 2018 - 9:51

82

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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 04 Dec 2018 - 10:01

67

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Showing weak convergence in $\sigma(L^p,L^{p'})$

Published on 09 Dec 2018 - 19:21

230

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Does strong convergence in $H$ (or $L^2$) imply convergence in $V$ (or $W_0^{1,2}$)?

Published on 12 Dec 2018 - 1:29

810

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Proof verification: Tightness of a family of random variables converging in distribution.

Published on 12 Dec 2018 - 1:53

107

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$A_1,A_2$ fulfill property, but their sum $A_1+A_2$ does not

Published on 27 Mar 2026 - 23:20

123

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Weak cauchy operator sequence over hilbert spaces

Published on 13 Dec 2018 - 3:01

1.3k

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Characterization of Wasserstein convergence

Published on 27 Mar 2026 - 9:53

89

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Prove weak-weak-continouity.

Published on 16 Dec 2018 - 18:54

65

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Prove convergence in distribution.

Published on 27 Mar 2026 - 1:43

73

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Point-wise convergence but not weakly

Published on 23 Feb 2026 - 1:02

494

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weak* convergence of convolution between mollifiers and Radon measure

Published on 25 Mar 2026 - 11:01

List Question

Central limit theorem for sequence of Gamma-distributed random variables.

Why weak convergence and a.e. convergence imply the convergence of this integral?

Convergence in distribution of sum of random, independent variables.

If $E[h(M_n)]\to h(x)$ for all bounded and continuous functions $h$ then $M_n\to x$ in probability

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

Showing weak convergence in $\sigma(L^p,L^{p'})$

Does strong convergence in $H$ (or $L^2$) imply convergence in $V$ (or $W_0^{1,2}$)?

Proof verification: Tightness of a family of random variables converging in distribution.

$A_1,A_2$ fulfill property, but their sum $A_1+A_2$ does not

Weak cauchy operator sequence over hilbert spaces

Characterization of Wasserstein convergence

Prove weak-weak-continouity.

Prove convergence in distribution.

Point-wise convergence but not weakly

weak* convergence of convolution between mollifiers and Radon measure

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