Question

Uniform Glivenko-Cantelli classes of functions, examples

score 288 · Answer 1 · 2026-04-15 20:01:09

288

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Uniform Glivenko-Cantelli classes of functions, examples

Published on 15 Apr 2026 - 20:01

score 1.6k · Answer 2 · 2026-04-09 05:30:32

1.6k

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

Published on 09 Apr 2026 - 5:30

score 689 · Answer 3 · 2026-04-15 06:40:09

689

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Convergence of an exponential martingale

Published on 15 Apr 2026 - 6:40

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 134 · Answer 5 · 2026-04-10 22:14:58

134

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

Published on 10 Apr 2026 - 22:14

score 212 · Answer 6 · 2026-04-16 08:31:20

212

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 16 Apr 2026 - 8:31

score 84 · Answer 7 · 2026-04-14 00:48:23

84

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Growth of brownian paths (Loose bound)

Published on 14 Apr 2026 - 0:48

score 136 · Answer 8 · 2026-04-11 15:02:25

136

Views

CDF after using weak law of large numbers

Published on 11 Apr 2026 - 15:02

score 192 · Answer 9 · 2026-04-13 14:53:49

192

Views

Proving The Weak Law of Large Numbers

Published on 13 Apr 2026 - 14:53

score 60 · Answer 10 · 2026-04-11 08:35:08

60

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

Published on 11 Apr 2026 - 8:35

score 69 · Answer 11 · 2026-04-16 15:35:59

69

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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 16 Apr 2026 - 15:35

score 76 · Answer 12 · 2026-04-16 19:45:36

76

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

Published on 16 Apr 2026 - 19:45

score 97 · Answer 13 · 2026-04-17 04:34:48

97

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

Published on 17 Apr 2026 - 4:34

score 4.2k · Answer 14 · 2026-04-14 08:12:36

4.2k

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

Published on 14 Apr 2026 - 8:12

score 96 · Answer 15 · 2026-04-17 05:54:57

96

Views

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

Published on 17 Apr 2026 - 5:54

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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