Question

Kolmogorov 0-1 law with almost sure convergence

score 645 · Answer 1 · 2026-04-12 18:06:19

645

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Kolmogorov 0-1 law with almost sure convergence

Published on 12 Apr 2026 - 18:06

score 712 · Answer 2 · 2026-04-09 09:55:05

712

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Intuition behind "surface measure" in integration formula for polar coordinates

Published on 09 Apr 2026 - 9:55

score 89 · Answer 3 · 2018-03-16 23:21:59

Let $X,Y$ be r.v.'s on $\Omega$. Do there exist for all laws $\pi$ on $\mathbb R^2$ with marginals $\mu_x,\mu_Y$, a r.v. $Z$ s.t. $\pi=\mu_Z$?

score 1.7k · Answer 4 · 2026-04-09 02:23:13

1.7k

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Why is Hausdorff measure Borel regular?

Published on 09 Apr 2026 - 2:23

score 1.2k · Answer 5 · 2026-03-25 12:48:39

1.2k

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$E(XY)=E(X)E(Y)$ and pull out property of conditional expectation without standard machine

Published on 25 Mar 2026 - 12:48

score 137 · Answer 6 · 2026-04-12 16:45:29

137

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Image measure of a measure “multiplied” by the identity function

Published on 12 Apr 2026 - 16:45

score 58 · Answer 7 · 2026-04-12 02:01:29

58

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Relation between probability measure of stochastic process and counting measure

Published on 12 Apr 2026 - 2:01

score 133 · Answer 8 · 2026-04-13 20:44:06

133

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How to prove $1 \leq ||f||^p_p ||g||^p_p $?

Published on 13 Apr 2026 - 20:44

score 86 · Answer 9 · 2026-04-09 03:55:49

86

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How to prove the following application of the Stiltjes series expansion

Published on 09 Apr 2026 - 3:55

score 106 · Answer 10 · 2026-03-25 08:13:37

$\int^1_0\int^1_0\frac{x^2-y^2}{(x^2+y^2)^{3/4}} \log(4+\sin x)dydx=\int^1_0\int^1_0 \frac{x^2 - y^2}{(x^2 + y^2)^{3/4}}\log(4+\sin x)dxdy$

score 34 · Answer 11 · 2026-04-09 10:03:58

34

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Prove that the set $S$ is equal to the set of all Liouville numbers

Published on 09 Apr 2026 - 10:03

score 178 · Answer 12 · 2026-04-13 14:23:46

178

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how to Prove $τ=\inf\{t:B(t)=\max\limits_{0<s<1}B(s)\}$ is a random variable?where B(t) is brownian motion process

Published on 13 Apr 2026 - 14:23

score 250 · Answer 13 · 2026-04-12 06:18:15

250

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Condition for algebra being sigma algebra

Published on 12 Apr 2026 - 6:18

score 54 · Answer 14 · 2026-04-11 20:04:54

54

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Do any probability measure has to be countably additive by definition?

Published on 11 Apr 2026 - 20:04

score 413 · Answer 15 · 2026-03-25 07:46:21

413

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If $f_n\to f$ in $L^p$ and $g_n$ is uniformly bounded and $g_n\to g$ a.e. then $g_nf_n\to gf$ in $L^p$.

Published on 25 Mar 2026 - 7:46

List Question

Kolmogorov 0-1 law with almost sure convergence

Intuition behind "surface measure" in integration formula for polar coordinates

Let $X,Y$ be r.v.'s on $\Omega$. Do there exist for all laws $\pi$ on $\mathbb R^2$ with marginals $\mu_x,\mu_Y$, a r.v. $Z$ s.t. $\pi=\mu_Z$?

Why is Hausdorff measure Borel regular?

$E(XY)=E(X)E(Y)$ and pull out property of conditional expectation without standard machine

Image measure of a measure “multiplied” by the identity function

Relation between probability measure of stochastic process and counting measure

How to prove $1 \leq ||f||^p_p ||g||^p_p $?

How to prove the following application of the Stiltjes series expansion

$\int^1_0\int^1_0\frac{x^2-y^2}{(x^2+y^2)^{3/4}} \log(4+\sin x)dydx=\int^1_0\int^1_0 \frac{x^2 - y^2}{(x^2 + y^2)^{3/4}}\log(4+\sin x)dxdy$

Prove that the set $S$ is equal to the set of all Liouville numbers

how to Prove $τ=\inf\{t:B(t)=\max\limits_{0<s<1}B(s)\}$ is a random variable?where B(t) is brownian motion process

Condition for algebra being sigma algebra

Do any probability measure has to be countably additive by definition?

If $f_n\to f$ in $L^p$ and $g_n$ is uniformly bounded and $g_n\to g$ a.e. then $g_nf_n\to gf$ in $L^p$.

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