List questions from law-of-large-numbers

Published on 30 Sep 2018 - 2:18

81

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A Problem on the Limit of an Integral

Published on 30 Sep 2018 - 2:40

202

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Question about the strong law of large numbers (to build understanding)

Published on 25 Mar 2026 - 18:49

52

Views

Question about convergence of a series - need help understanding a proof for the strong law of large numbers

Published on 05 Oct 2018 - 4:01

46

Views

Almsot surely convergence of series

Published on 05 Oct 2018 - 6:20

1.7k

Views

Central Limit Theorem for geometric mean

Published on 25 Mar 2026 - 18:52

150

Views

If $\lim_{n \rightarrow \infty} \frac{S_n^4}{n^4} = 0$ then $\lim_{n \rightarrow \infty} \frac{S_n}{n} = 0$

Published on 05 Oct 2018 - 20:34

140

Views

With $X \sim Unif(0,1)$ what is the limit of $\frac{n}{x_1^{-1} + \cdots + x_n^{-1}}$

Published on 26 Mar 2026 - 1:23

82

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Expectation of the mean of the sum of random variables

Published on 25 Mar 2026 - 18:50

1k

Views

Law of large numbers and theoretical probability

Published on 16 Oct 2018 - 22:20

166

Views

Pove that the summation of iid sequence satisfies $\frac{S_n}{n\log n}\rightarrow c\quad \text{in probability}$

Published on 21 Oct 2018 - 10:26

248

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Weak LLN holds but strong LLN fails

Published on 22 Oct 2018 - 9:24

119

Views

Example of a sequence of random variables which are pairwise uncorrelated and identically distributed, but LLN does not hold

Published on 28 Oct 2018 - 20:12

74

Views

Variants of weak and strong LLN

Published on 01 Nov 2018 - 15:34

43

Views

Law of iterated logarithm for stationary sequences

Published on 04 Nov 2018 - 10:17

List Question

A Problem on the Limit of a Sequence

A Problem on the Limit of an Integral

Question about the strong law of large numbers (to build understanding)

Question about convergence of a series - need help understanding a proof for the strong law of large numbers

Almsot surely convergence of series

Central Limit Theorem for geometric mean

If $\lim_{n \rightarrow \infty} \frac{S_n^4}{n^4} = 0$ then $\lim_{n \rightarrow \infty} \frac{S_n}{n} = 0$

With $X \sim Unif(0,1)$ what is the limit of $\frac{n}{x_1^{-1} + \cdots + x_n^{-1}}$

Expectation of the mean of the sum of random variables

Law of large numbers and theoretical probability

Pove that the summation of iid sequence satisfies $\frac{S_n}{n\log n}\rightarrow c\quad \text{in probability}$

Weak LLN holds but strong LLN fails

Example of a sequence of random variables which are pairwise uncorrelated and identically distributed, but LLN does not hold

Variants of weak and strong LLN

Law of iterated logarithm for stationary sequences

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