List questions from law-of-large-numbers

429

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How come the proportion of heads to tails across a large number of coin flips tend toward $1:1$ if all outcomes are equally likely?

Published on 13 Apr 2018 - 23:54

842

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S.N. Bernstein Law of Large Numbers

Published on 16 Apr 2018 - 8:27

45

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Convergence of a function of correlated random variables

Published on 25 Mar 2026 - 13:55

823

Views

Strong law of large numbers for function of random vector: can we apply it for a component only?

Published on 26 Mar 2026 - 11:05

1k

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Strong law of large numbers for the conditional expectation of functions of random vectors

Published on 28 Apr 2018 - 12:29

216

Views

Arithmetic average of random variable with infinite mean

Published on 25 Mar 2026 - 11:09

717

Views

Almost sure convergence of a certain sequence of random variables

Published on 05 May 2018 - 17:59

50

Views

simplify with law of large numbers

Published on 09 May 2018 - 9:05

309

Views

A question regarding strong law of large numbers cannot be verified by Borel canteli lemma

Published on 25 Mar 2026 - 11:15

62

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Problem on Central limit theorem and Law of large numbers

Published on 25 Mar 2026 - 10:55

29

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Random coefficient GARCH(1,1): Existence of solution

Published on 25 Mar 2026 - 9:48

218

Views

$X=\sum_{i=1}^{N}X_i$,estimator for $N$

Published on 26 Mar 2026 - 1:10

73

Views

$\frac 1n \sum_{k=c+1}^n X_k X_{k-c}$ converges a.s to $0$ when $X_n$ is i.i.d. with mean $0$.

Published on 25 Mar 2026 - 1:40

204

Views

Convergence in distribution using strong law of large numbers

Published on 23 May 2018 - 15:03

148

Views

A peculiar linear programming: random variables and limits

Published on 26 May 2018 - 21:48

List Question

How come the proportion of heads to tails across a large number of coin flips tend toward $1:1$ if all outcomes are equally likely?

S.N. Bernstein Law of Large Numbers

Convergence of a function of correlated random variables

Strong law of large numbers for function of random vector: can we apply it for a component only?

Strong law of large numbers for the conditional expectation of functions of random vectors

Arithmetic average of random variable with infinite mean

Almost sure convergence of a certain sequence of random variables

simplify with law of large numbers

A question regarding strong law of large numbers cannot be verified by Borel canteli lemma

Problem on Central limit theorem and Law of large numbers

Random coefficient GARCH(1,1): Existence of solution

$X=\sum_{i=1}^{N}X_i$,estimator for $N$

$\frac 1n \sum_{k=c+1}^n X_k X_{k-c}$ converges a.s to $0$ when $X_n$ is i.i.d. with mean $0$.

Convergence in distribution using strong law of large numbers

A peculiar linear programming: random variables and limits

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