Question

Application of the Weak Law of Large Numbers

score 966 · Answer 1 · 2016-11-21 03:43:24

966

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Application of the Weak Law of Large Numbers

Published on 21 Nov 2016 - 3:43

score 34.9k · Answer 2 · 2016-11-21 14:35:59

34.9k

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What is the difference between the weak and strong law of large numbers?

Published on 21 Nov 2016 - 14:35

score 558 · Answer 3 · 2026-03-27 18:09:38

558

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Generalization of Law of Large Numbers and Central Limit Theorem using Polynomial Scaling

Published on 27 Mar 2026 - 18:09

score 138 · Answer 4 · 2016-12-05 21:09:03

138

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Applying Law of Large Numbers to Find Almost Sure Limit

Published on 05 Dec 2016 - 21:09

score 365 · Answer 5 · 2016-12-06 04:07:57

365

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Weighted Sum of Independent Random Variables

Published on 06 Dec 2016 - 4:07

score 73 · Answer 6 · 2016-12-11 13:06:11

73

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Asymptotics of arg max estimator

Published on 11 Dec 2016 - 13:06

score 459 · Answer 7 · 2016-12-14 17:02:26

459

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If $\{X_n\}$ is an i.i.d. sequence of integrable random variables and $S_n=\sum_{i=1}^n X_i$, then $E[X_1|S_n,S_{n+1},\ldots]=\frac{S_n}{n}$.

Published on 14 Dec 2016 - 17:02

score 292 · Answer 8 · 2017-01-22 20:06:47

292

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Limiting Distribution with Finite 4th Moment

Published on 22 Jan 2017 - 20:06

score 172 · Answer 9 · 2017-01-25 01:46:08

172

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If independent centered $X_n$ obeys the weak law of large numbers, then the sequence $n^{-1}X_n$ converges in probability to $0$.

Published on 25 Jan 2017 - 1:46

score 1.2k · Answer 10 · 2017-02-03 00:27:26

1.2k

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Law of large numbers; Poisson distribution

Published on 03 Feb 2017 - 0:27

score 333 · Answer 11 · 2017-02-07 01:30:32

333

Views

Law of large numbers with random index

Published on 07 Feb 2017 - 1:30

score 54 · Answer 12 · 2017-02-15 09:52:40

54

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$\sum_{j=0}^\infty Z_t^2 Z_{t-1}^2 \ldots Z^2_{t-j} < \infty$ a.s.

Published on 15 Feb 2017 - 9:52

score 1.9k · Answer 13 · 2017-02-25 11:04:48

1.9k

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How to show that $ \hat{\sigma} $ is a consistent estimator of $\sigma $ using the law of large numbers?

Published on 25 Feb 2017 - 11:04

score 108 · Answer 14 · 2017-03-02 05:56:31

108

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Using central limit theorem to prove most of an n dimensional cube is contained in a given annulus

Published on 02 Mar 2017 - 5:56

score 78 · Answer 15 · 2017-03-05 15:06:29

78

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Limit of $E\left(\frac{X_1+\ldots+X_n}{\vert X_1\vert + \ldots + \vert X_n\vert}\right)$ for $(X_k)$ i.i.d. with $P(X_1=0)=0$

Published on 05 Mar 2017 - 15:06

List Question

Application of the Weak Law of Large Numbers

What is the difference between the weak and strong law of large numbers?

Generalization of Law of Large Numbers and Central Limit Theorem using Polynomial Scaling

Applying Law of Large Numbers to Find Almost Sure Limit

Weighted Sum of Independent Random Variables

Asymptotics of arg max estimator

If $\{X_n\}$ is an i.i.d. sequence of integrable random variables and $S_n=\sum_{i=1}^n X_i$, then $E[X_1|S_n,S_{n+1},\ldots]=\frac{S_n}{n}$.

Limiting Distribution with Finite 4th Moment

If independent centered $X_n$ obeys the weak law of large numbers, then the sequence $n^{-1}X_n$ converges in probability to $0$.

Law of large numbers; Poisson distribution

Law of large numbers with random index

$\sum_{j=0}^\infty Z_t^2 Z_{t-1}^2 \ldots Z^2_{t-j} < \infty$ a.s.

How to show that $ \hat{\sigma} $ is a consistent estimator of $\sigma $ using the law of large numbers?

Using central limit theorem to prove most of an n dimensional cube is contained in a given annulus

Limit of $E\left(\frac{X_1+\ldots+X_n}{\vert X_1\vert + \ldots + \vert X_n\vert}\right)$ for $(X_k)$ i.i.d. with $P(X_1=0)=0$

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