List questions from law-of-large-numbers

66

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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 17 Apr 2026 - 9:18

284

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Strong law of large numbers with finite fourth moment

Published on 11 Apr 2026 - 7:40

167

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Weak law of large number for indicator RVs

Published on 15 Apr 2026 - 6:54

62

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Monte Carlo Method to evaluate sum

Published on 11 May 2026 - 1:38

261

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Monte Carlo Method to integrate function

Published on 11 May 2026 - 1:36

322

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Almost Sure Convergence of a product with SLLN

Published on 16 Apr 2026 - 18:00

62

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Fair coin flipping and the law of large numbers

Published on 12 Apr 2026 - 18:50

93

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Law of large numbers with random index more detailed proof

Published on 15 Apr 2026 - 10:27

48

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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 12 Apr 2026 - 8:22

387

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is ergodicity just the law of large numbers?

Published on 09 Apr 2026 - 22:10

621

Views

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

Published on 15 Apr 2026 - 5:03

62

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Convergence of a random sequence without second moment

Published on 10 May 2026 - 20:11

235

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Application of the Weak Law of Large Numbers.

Published on 26 Mar 2026 - 6:30

83

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A basic problem on random series/ law of large numbers

Published on 13 Apr 2026 - 12:44

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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