List questions from law-of-large-numbers

Published on 14 Apr 2026 - 2:18

228

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Prove that for any $\epsilon > 0$, $\mathbb{P}\left (\frac{S_n}{n} > p+\epsilon\right) \leq e^{-\frac{1}{4}n\epsilon^2}$.

Published on 17 Apr 2026 - 9:04

66

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Feller's probability theory problem 5 from Ch. X - Conditions for LLN and CLT

Published on 12 Apr 2026 - 14:23

119

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Law of large numbers on a random number of samples

Published on 12 Apr 2026 - 19:40

17

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law of large numbers against several distributions

Published on 10 Apr 2026 - 19:19

87

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Law of large numbers for random variable

Published on 11 Apr 2026 - 15:42

81

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Application WLLN in a convergence related problem

Published on 26 Mar 2026 - 17:30

167

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Convergence of the expectation of a ratio of sample means

Published on 14 Apr 2026 - 8:20

216

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Is Strong law of Large numbers equal to pointwise convergence?

Published on 09 Apr 2026 - 18:03

152

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Adding an explicit upper bound in the Strong Law of Large Numbers

Published on 15 Apr 2026 - 4:09

655

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How to determine the sample size for a two sided $z$-test?

Published on 27 Mar 2026 - 19:51

107

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Prove $X_n$ fullfills Weak Law of Large Numbers

Published on 26 Mar 2026 - 17:35

117

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Weak and Strong Law of Large Numbers

Published on 09 Apr 2026 - 22:15

207

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Is the following generalization of Strong Law of Large Numbers valid?

Published on 09 Apr 2026 - 16:00

138

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Show that a sequence satisfies the weak law of large numbers

Published on 14 Apr 2026 - 7:17

List Question

Problem about central limit theorem related to finding probability of a R.V similar to binomial

Prove that for any $\epsilon > 0$, $\mathbb{P}\left (\frac{S_n}{n} > p+\epsilon\right) \leq e^{-\frac{1}{4}n\epsilon^2}$.

Feller's probability theory problem 5 from Ch. X - Conditions for LLN and CLT

Law of large numbers on a random number of samples

law of large numbers against several distributions

Law of large numbers for random variable

Application WLLN in a convergence related problem

Convergence of the expectation of a ratio of sample means

Is Strong law of Large numbers equal to pointwise convergence?

Adding an explicit upper bound in the Strong Law of Large Numbers

How to determine the sample size for a two sided $z$-test?

Prove $X_n$ fullfills Weak Law of Large Numbers

Weak and Strong Law of Large Numbers

Is the following generalization of Strong Law of Large Numbers valid?

Show that a sequence satisfies the weak law of large numbers

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