List questions from probability-limit-theorems

Published on 27 Mar 2017 - 8:12

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5x5 board Bingo Question

Published on 28 Mar 2017 - 3:43

56

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Bounding a probability

Published on 28 Mar 2017 - 17:46

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How do I calculate the probability of repetition of a series?

Published on 30 Jan 2023 - 5:27

65

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Convergence rate in Central Limit Theorem via limit of infinite convolutions

Published on 30 Jan 2023 - 16:52

42

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Convergence in Distribution using Central Limit Theorem

Published on 02 Feb 2023 - 11:02

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Show that for any $a > 1/2$, $Y_n = s_n^{-2}(\log{s_n^2})^{-a} \sum_{k = 1}^n X_k$ converges to zero almost surely.

Published on 07 Feb 2023 - 18:24

94

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Limiting distribution for proportion of MVN components exceeding fixed threshold

Published on 25 Mar 2026 - 17:37

62

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Convergence in distribution doesn't imply convergence in probability

Published on 08 Feb 2023 - 14:15

90

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Difference between Empirical Function and Real Distribution when Conditioning on Filtration

Published on 09 Feb 2023 - 21:42

43

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limiting distribution of $\frac{z_i}{z_1+...+z_i}$

Published on 11 Feb 2023 - 0:07

71

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Strong law of large numbers for covariance matrix estimation

Published on 14 Feb 2023 - 12:21

238

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Applicability of Glivenko-Cantelli theorem to functions other than cdf

Published on 15 Feb 2023 - 14:26

904

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Does convergence in probability imply convergence in expected value?

Published on 15 Feb 2023 - 20:53

50

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Double asymptotic proof: $\mathbf{x}_n \to_d\mathbf{z}\implies\frac{1}{p}\mathbf{x}_n^\top\mathbf{x}_n\to 1$ as $(p,n) \to (\infty, \infty)$

Published on 27 Mar 2026 - 1:47

List Question

Prove that the following limit is 0

5x5 board Bingo Question

Bounding a probability

How do I calculate the probability of repetition of a series?

Convergence rate in Central Limit Theorem via limit of infinite convolutions

Convergence in Distribution using Central Limit Theorem

Show that for any $a > 1/2$, $Y_n = s_n^{-2}(\log{s_n^2})^{-a} \sum_{k = 1}^n X_k$ converges to zero almost surely.

Limiting distribution for proportion of MVN components exceeding fixed threshold

Convergence in distribution doesn't imply convergence in probability

Difference between Empirical Function and Real Distribution when Conditioning on Filtration

limiting distribution of $\frac{z_i}{z_1+...+z_i}$

Strong law of large numbers for covariance matrix estimation

Applicability of Glivenko-Cantelli theorem to functions other than cdf

Does convergence in probability imply convergence in expected value?

Double asymptotic proof: $\mathbf{x}_n \to_d\mathbf{z}\implies\frac{1}{p}\mathbf{x}_n^\top\mathbf{x}_n\to 1$ as $(p,n) \to (\infty, \infty)$

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