List questions from probability-limit-theorems

Published on 29 Mar 2026 - 16:49

59

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For all $\varphi \in (\mathbb{R}^d)^*, |\varphi|=1$, $\limsup_{h \downarrow 0}\frac{|\varphi(B_{t,t+h})|}{\sqrt{h \ln\ln (1/h)}} \geq c$ a.s.

Published on 06 Nov 2017 - 10:58

27

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Convergence in distribution - calculating probability of an event.

Published on 07 Nov 2017 - 0:35

44

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Estimating Binomial Probabilities for large $n$ with Laplace and Poisson Theorems

Published on 07 Nov 2017 - 9:00

425

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Convergence in probability from Cesaro mean

Published on 07 Nov 2017 - 16:08

91

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Show that the array is infinitesimal

Published on 08 Nov 2017 - 4:28

147

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When $n$ approaches $\infty$, what is the probability limit of ${\sqrt n}X_n^2$ given that the probability limit of $X_n$ is $0$?

Published on 09 Nov 2017 - 11:34

96

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Swapping limit operators in a specific probability example

Published on 10 Nov 2017 - 19:33

393

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Gumbel Distribution as Limiting Distribution

Published on 14 Nov 2017 - 20:41

40

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The joint distribution of $X_{n}$ and $X$ must be defined to check convergence in probability.

Published on 15 Nov 2017 - 0:51

291

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What is the probability of success in Hi-Lo?

Published on 16 Nov 2017 - 18:31

117

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Is it true that $p\lim(E(x_n))=E(p\lim(x_n))$?

Published on 20 Nov 2017 - 14:45

74

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For a finite support distribution $p$, $p^k \rightarrow U(X),\quad \vert X \vert={{k}\choose{p_1k,\ldots,p_nk}}$

Published on 21 Nov 2017 - 0:56

585

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Resnick - Probability Path - Exercise 7.6

Published on 21 Nov 2017 - 16:43

111

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Probability Exercise (about convergence in probability)

Published on 21 Nov 2017 - 21:11

List Question

Limit Distributions of Maxima and integral

For all $\varphi \in (\mathbb{R}^d)^*, |\varphi|=1$, $\limsup_{h \downarrow 0}\frac{|\varphi(B_{t,t+h})|}{\sqrt{h \ln\ln (1/h)}} \geq c$ a.s.

Convergence in distribution - calculating probability of an event.

Estimating Binomial Probabilities for large $n$ with Laplace and Poisson Theorems

Convergence in probability from Cesaro mean

Show that the array is infinitesimal

When $n$ approaches $\infty$, what is the probability limit of ${\sqrt n}X_n^2$ given that the probability limit of $X_n$ is $0$?

Swapping limit operators in a specific probability example

Gumbel Distribution as Limiting Distribution

The joint distribution of $X_{n}$ and $X$ must be defined to check convergence in probability.

What is the probability of success in Hi-Lo?

Is it true that $p\lim(E(x_n))=E(p\lim(x_n))$?

For a finite support distribution $p$, $p^k \rightarrow U(X),\quad \vert X \vert={{k}\choose{p_1k,\ldots,p_nk}}$

Resnick - Probability Path - Exercise 7.6

Probability Exercise (about convergence in probability)

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