List questions from probability-limit-theorems

Published on 04 Apr 2013 - 13:11

247

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Quantitive Central Limit Theorem

Published on 12 Apr 2013 - 13:01

131

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Problem about convergence in Probability (2)

Published on 22 Apr 2013 - 11:23

187

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Show $\dbinom{n}{2}^{-1} \sum_{i < j} X_i X_j \xrightarrow{p} \mu^2$, when $X_i$ are i.i.d. with mean $\mu$ and finite variance

Published on 05 May 2013 - 16:10

279

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show $\frac{1}{n}\sum (X_i - \mu_i) \xrightarrow{L^2} 0$, $X_i$ independent with mean $\mu_i$

Published on 06 May 2013 - 1:17

160

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Number of draws to see every object at least once

Published on 23 Feb 2026 - 9:01

668

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An application of Donsker's theorem.

Published on 15 May 2013 - 2:45

759

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Central Limit Theorem for Dependent Non-Identical Random Variables.

Published on 16 May 2013 - 5:35

1.6k

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Compute value of $\pi$ up to 8 digits

Published on 20 May 2013 - 8:15

116

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Finding limits with substitution

Published on 22 May 2013 - 11:20

40

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name of theorem for infinite order polynomial limit for small x

Published on 26 May 2013 - 20:39

3.1k

Views

Proving that the de Moivre-Laplace Theorem is a special case of the Central Limit Theorem.

Published on 06 Jun 2013 - 23:12

23.6k

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Delta epsilon proof with $x \rightarrow \infty$

Published on 07 Jun 2013 - 16:50

1.5k

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Lim inf of sum of functions

Published on 12 Jun 2013 - 7:07

1k

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Limit of characteristic functions

Published on 14 Jun 2013 - 12:18

List Question

Asymptotics of $\max\limits_{1\leqslant k\leqslant n}X_k/n$

Quantitive Central Limit Theorem

Problem about convergence in Probability (2)

Show $\dbinom{n}{2}^{-1} \sum_{i < j} X_i X_j \xrightarrow{p} \mu^2$, when $X_i$ are i.i.d. with mean $\mu$ and finite variance

show $\frac{1}{n}\sum (X_i - \mu_i) \xrightarrow{L^2} 0$, $X_i$ independent with mean $\mu_i$

Number of draws to see every object at least once

An application of Donsker's theorem.

Central Limit Theorem for Dependent Non-Identical Random Variables.

Compute value of $\pi$ up to 8 digits

Finding limits with substitution

name of theorem for infinite order polynomial limit for small x

Proving that the de Moivre-Laplace Theorem is a special case of the Central Limit Theorem.

Delta epsilon proof with $x \rightarrow \infty$

Lim inf of sum of functions

Limit of characteristic functions

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