List questions from law-of-large-numbers

63

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$(X_k)_{k\in\mathbb{N}}$ uncorrelated $|X_k|<52\ \forall k\in\mathbb{N}$. Show $\frac{1}{n}\sum_{k=0}^{n}X_k-\mathbb{E}[X_k]\xrightarrow{\mathbb{P}}0$

Published on 14 Jul 2019 - 1:50

281

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Strong law of large numbers with finite fourth moment

Published on 22 Jul 2019 - 16:16

164

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Weak law of large number for indicator RVs

Published on 23 Jul 2019 - 14:28

60

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Monte Carlo Method to evaluate sum

Published on 26 Mar 2026 - 17:28

258

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Monte Carlo Method to integrate function

Published on 26 Mar 2026 - 17:28

317

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Almost Sure Convergence of a product with SLLN

Published on 28 Jul 2019 - 17:28

59

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Fair coin flipping and the law of large numbers

Published on 28 Jul 2019 - 20:48

90

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Law of large numbers with random index more detailed proof

Published on 03 Aug 2019 - 0:56

45

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P-th sum of a sequence of r.v. converging to p-th mean a.s.? Does this convergence hold in probability?

Published on 10 Aug 2019 - 15:19

385

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is ergodicity just the law of large numbers?

Published on 26 Mar 2026 - 17:36

618

Views

Durrett 2.2.2. Do we need zero mean assumption in a $L^2$ weak law to certain dependent sequence?

Published on 17 Sep 2019 - 13:52

61

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Convergence of a random sequence without second moment

Published on 25 Mar 2026 - 4:37

235

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Application of the Weak Law of Large Numbers.

Published on 26 Mar 2026 - 6:30

80

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A basic problem on random series/ law of large numbers

Published on 19 Mar 2014 - 7:11

512

Views

Weak Law of Large Numbers

Published on 26 Mar 2026 - 6:27

List Question

$(X_k)_{k\in\mathbb{N}}$ uncorrelated $|X_k|<52\ \forall k\in\mathbb{N}$. Show $\frac{1}{n}\sum_{k=0}^{n}X_k-\mathbb{E}[X_k]\xrightarrow{\mathbb{P}}0$

Strong law of large numbers with finite fourth moment

Weak law of large number for indicator RVs

Monte Carlo Method to evaluate sum

Monte Carlo Method to integrate function

Almost Sure Convergence of a product with SLLN

Fair coin flipping and the law of large numbers

Law of large numbers with random index more detailed proof

P-th sum of a sequence of r.v. converging to p-th mean a.s.? Does this convergence hold in probability?

is ergodicity just the law of large numbers?

Durrett 2.2.2. Do we need zero mean assumption in a $L^2$ weak law to certain dependent sequence?

Convergence of a random sequence without second moment

Application of the Weak Law of Large Numbers.

A basic problem on random series/ law of large numbers

Weak Law of Large Numbers

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