Question

Uniform Glivenko-Cantelli classes of functions, examples

score 285 · Answer 1 · 2017-06-13 12:55:44

285

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Uniform Glivenko-Cantelli classes of functions, examples

Published on 13 Jun 2017 - 12:55

score 1.6k · Answer 2 · 2017-06-18 15:54:39

1.6k

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Proof of Strong Law of Large Numbers, reasoning behind using 4th moment?

Published on 18 Jun 2017 - 15:54

score 686 · Answer 3 · 2017-06-20 13:40:14

686

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Convergence of an exponential martingale

Published on 20 Jun 2017 - 13:40

score 221 · Answer 4 · 2026-03-26 01:12:12

221

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Convergence of $\sqrt{n}\left(\frac{S_n}{T_n}-\frac{\mu_X}{\mu_Y} \right)$ where $S_n=\sum\limits_{i=1}^nX_i$ and $T_n=\sum\limits_{i=1}^nY_i$

Published on 26 Mar 2026 - 1:12

score 131 · Answer 5 · 2017-06-30 04:41:32

131

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The limit inferior for sequence of positive random variables where the WLLN does not hold

Published on 30 Jun 2017 - 4:41

score 209 · Answer 6 · 2017-07-08 09:53:48

209

Views

If $(X_n)_n$ is i.i.d. and $\frac{S_n}{n} \to a$ almost surely then $a=\Bbb E[X_1]$

Published on 08 Jul 2017 - 9:53

score 81 · Answer 7 · 2017-07-09 10:57:35

81

Views

Growth of brownian paths (Loose bound)

Published on 09 Jul 2017 - 10:57

score 133 · Answer 8 · 2017-07-27 23:28:30

133

Views

CDF after using weak law of large numbers

Published on 27 Jul 2017 - 23:28

score 189 · Answer 9 · 2017-07-29 10:51:02

189

Views

Proving The Weak Law of Large Numbers

Published on 29 Jul 2017 - 10:51

score 57 · Answer 10 · 2017-08-09 04:11:28

57

Views

Explanation about proof of strong law of large numbers in Tracy's notes

Published on 09 Aug 2017 - 4:11

score 66 · Answer 11 · 2017-08-20 07:27:49

66

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How does $t \rightarrow \infty$ then $t[1-F(t)+F(-t)] \rightarrow 0$ relate to the weak law of large numbers?

Published on 20 Aug 2017 - 7:27

score 73 · Answer 12 · 2017-08-21 05:49:45

73

Views

Limit of $P(100(X_1+\cdots+X_n)>97n)$ as $n \to \infty$ for $(X_k)$ i.i.d.

Published on 21 Aug 2017 - 5:49

score 94 · Answer 13 · 2017-08-30 13:33:48

94

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Proving ${\lim_{n\rightarrow \infty}} E\left[\left|\frac{X_n}{n}-E[Y_1]\right|\right]=0$

Published on 30 Aug 2017 - 13:33

score 4.2k · Answer 14 · 2017-09-04 17:26:48

4.2k

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Law of large numbers for non-identically distributed Bernoulli random variables

Published on 04 Sep 2017 - 17:26

score 93 · Answer 15 · 2017-09-06 14:18:02

93

Views

Why $\lvert A_{n,\epsilon}\cap (-1,1)^n\rvert/2^n\rightarrow 1$?

Published on 06 Sep 2017 - 14:18

List Question

Uniform Glivenko-Cantelli classes of functions, examples

Proof of Strong Law of Large Numbers, reasoning behind using 4th moment?

Convergence of an exponential martingale

Convergence of $\sqrt{n}\left(\frac{S_n}{T_n}-\frac{\mu_X}{\mu_Y} \right)$ where $S_n=\sum\limits_{i=1}^nX_i$ and $T_n=\sum\limits_{i=1}^nY_i$

The limit inferior for sequence of positive random variables where the WLLN does not hold

If $(X_n)_n$ is i.i.d. and $\frac{S_n}{n} \to a$ almost surely then $a=\Bbb E[X_1]$

Growth of brownian paths (Loose bound)

CDF after using weak law of large numbers

Proving The Weak Law of Large Numbers

Explanation about proof of strong law of large numbers in Tracy's notes

How does $t \rightarrow \infty$ then $t[1-F(t)+F(-t)] \rightarrow 0$ relate to the weak law of large numbers?

Limit of $P(100(X_1+\cdots+X_n)>97n)$ as $n \to \infty$ for $(X_k)$ i.i.d.

Proving ${\lim_{n\rightarrow \infty}} E\left[\left|\frac{X_n}{n}-E[Y_1]\right|\right]=0$

Law of large numbers for non-identically distributed Bernoulli random variables

Why $\lvert A_{n,\epsilon}\cap (-1,1)^n\rvert/2^n\rightarrow 1$?

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