Question

How to show that a series of random variables, $\sum\limits_{n\ge1}X_n$, converges almost surely.

score 413 · Answer 1 · 2020-06-18 21:22:26

413

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How to show that a series of random variables, $\sum\limits_{n\ge1}X_n$, converges almost surely.

Published on 18 Jun 2020 - 21:22

score 218 · Answer 2 · 2020-06-20 08:09:56

218

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Hi, I am looking books to learn math from scratch

Published on 20 Jun 2020 - 8:09

score 102 · Answer 3 · 2020-06-21 15:31:20

102

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Show that if $E(X|G)\le X$ a.s. then $X=E(X|G)$ a.s.

Published on 21 Jun 2020 - 15:31

score 156 · Answer 4 · 2026-03-30 01:30:58

156

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If $\frac{X+Y}{\sqrt{2}}\stackrel{d}{=}X\stackrel{d}{=}Y$, use the CLT to show that $X,Y\in N(0,1)$

Published on 30 Mar 2026 - 1:30

score 76 · Answer 5 · 2026-04-03 04:23:08

76

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example that conditional independence does not imply independence

Published on 03 Apr 2026 - 4:23

score 76 · Answer 6 · 2020-06-28 20:37:03

76

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Proving that filtration of generated $\sigma$-algebras is smallest adapted filtration

Published on 28 Jun 2020 - 20:37

score 425 · Answer 7 · 2026-03-30 04:56:40

425

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Best way to spend three months before entering masters program: Review fundamentals, or pre-study topics in the program?

Published on 30 Mar 2026 - 4:56

score 479 · Answer 8 · 2020-06-29 18:04:50

479

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Proving a formula for the stationary distribution of a finite irreducible Markov chain

Published on 29 Jun 2020 - 18:04

score 104 · Answer 9 · 2026-02-23 16:48:46

104

Views

A different approach to counting?

Published on 23 Feb 2026 - 16:48

score 162 · Answer 10 · 2026-03-30 13:54:30

162

Views

Variance and Expectation of Little o

Published on 30 Mar 2026 - 13:54

score 445 · Answer 11 · 2020-07-03 22:51:47

445

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Is Mastery of Baby Rudin ch.6 Sufficient Pre-requisite knowledge for Daddy Rudin ch.1?

Published on 03 Jul 2020 - 22:51

score 1.6k · Answer 12 · 2026-04-01 03:43:00

1.6k

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Can Aluffi's Algebra Chapter 0 act as a starting point for learning abstract and (advanced) linear algebra?

Published on 01 Apr 2026 - 3:43

score 128 · Answer 13 · 2026-03-28 01:48:19

128

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Compute the characteristic function of $Z_n=\sum\limits_{k=1}^{\xi_n}X_k$

Published on 28 Mar 2026 - 1:48

score 57 · Answer 14 · 2026-04-03 06:02:48

57

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$X\stackrel{d}{=}E[X|\mathcal{G}]\implies X=E[X|\mathcal{G}]$ a.s.

Published on 03 Apr 2026 - 6:02

score 54 · Answer 15 · 2026-03-29 06:54:51

54

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What is the pathway to learn about kernels?

Published on 29 Mar 2026 - 6:54

List Question

How to show that a series of random variables, $\sum\limits_{n\ge1}X_n$, converges almost surely.

Hi, I am looking books to learn math from scratch

Show that if $E(X|G)\le X$ a.s. then $X=E(X|G)$ a.s.

If $\frac{X+Y}{\sqrt{2}}\stackrel{d}{=}X\stackrel{d}{=}Y$, use the CLT to show that $X,Y\in N(0,1)$

example that conditional independence does not imply independence

Proving that filtration of generated $\sigma$-algebras is smallest adapted filtration

Best way to spend three months before entering masters program: Review fundamentals, or pre-study topics in the program?

Proving a formula for the stationary distribution of a finite irreducible Markov chain

A different approach to counting?

Variance and Expectation of Little o

Is Mastery of Baby Rudin ch.6 Sufficient Pre-requisite knowledge for Daddy Rudin ch.1?

Can Aluffi's Algebra Chapter 0 act as a starting point for learning abstract and (advanced) linear algebra?

Compute the characteristic function of $Z_n=\sum\limits_{k=1}^{\xi_n}X_k$

$X\stackrel{d}{=}E[X|\mathcal{G}]\implies X=E[X|\mathcal{G}]$ a.s.

What is the pathway to learn about kernels?

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