Question

Show that $\frac{X_1+\dots+X_n}{n}$ converges a.s. for $X_n \sim U([0,1-2^{-n}])$ independent

score 286 · Answer 1 · 2015-06-13 14:37:20

286

Views

Show that $\frac{X_1+\dots+X_n}{n}$ converges a.s. for $X_n \sim U([0,1-2^{-n}])$ independent

Published on 13 Jun 2015 - 14:37

score 318 · Answer 2 · 2015-06-14 18:03:42

318

Views

A dice and Law of Large Numbers

Published on 14 Jun 2015 - 18:03

score 171 · Answer 3 · 2015-06-15 10:11:47

171

Views

How to apply strong law of large numbers for non-constant mean and variance

Published on 15 Jun 2015 - 10:11

score 66 · Answer 4 · 2015-06-17 10:19:56

66

Views

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Published on 17 Jun 2015 - 10:19

score 381 · Answer 5 · 2015-06-20 15:41:07

381

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Published on 20 Jun 2015 - 15:41

score 470 · Answer 6 · 2015-06-23 07:51:48

470

Views

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score 73 · Answer 7 · 2015-06-23 16:33:57

73

Views

Prove that the product of 2 vectors Normally distributed converges for large dimensions to the full zero matrix

Published on 23 Jun 2015 - 16:33

score 158 · Answer 8 · 2015-06-27 22:02:33

158

Views

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Published on 27 Jun 2015 - 22:02

score 120 · Answer 9 · 2026-03-28 08:09:48

120

Views

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score 359 · Answer 10 · 2015-07-03 18:41:48

359

Views

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Published on 03 Jul 2015 - 18:41

score 248 · Answer 11 · 2015-07-13 11:28:13

248

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Published on 13 Jul 2015 - 11:28

score 143 · Answer 12 · 2015-07-13 20:21:46

143

Views

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Published on 13 Jul 2015 - 20:21

score 1.9k · Answer 13 · 2015-07-18 16:49:51

1.9k

Views

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Published on 18 Jul 2015 - 16:49

score 585 · Answer 14 · 2015-07-19 17:54:35

585

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Sequence of random variables that follow WLLN but not SLLN

Published on 19 Jul 2015 - 17:54

score 112 · Answer 15 · 2015-07-20 13:00:31

112

Views

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Published on 20 Jul 2015 - 13:00

List Question

Show that $\frac{X_1+\dots+X_n}{n}$ converges a.s. for $X_n \sim U([0,1-2^{-n}])$ independent

A dice and Law of Large Numbers

How to apply strong law of large numbers for non-constant mean and variance

What is the proportion of edges with a certain capacity among possible edges?

Law of large numbers for nonnegative random variables

Strong law of large numbers for continuous time martingales?

Prove that the product of 2 vectors Normally distributed converges for large dimensions to the full zero matrix

Is there a connection between uniform law of large number and Ibragimov's conjecture?

Finiteness of the sum of the product of an i.i.d. sequence

A detail on a proof of the strong Law of Large Numbers.

The law of large numbers - limits of $\max$ vs $\max$ of a limit.

On proving that a infinite intersection of truth sets is empty and on the usefulness of almost surely.

Strong and weak laws of large numbers

Sequence of random variables that follow WLLN but not SLLN

Strong law of large numbers using Fatou's lemma?

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