Question

Defining convergence of a sequence of random variables.

score 34 · Answer 1 · 2026-02-24 23:15:33

34

Views

Defining convergence of a sequence of random variables.

Published on 24 Feb 2026 - 23:15

score 42 · Answer 2 · 2023-03-23 10:46:09

42

Views

Condition on Sobolev function on the boundary of a domain

Published on 23 Mar 2023 - 10:46

score 50 · Answer 3 · 2023-03-28 04:06:02

50

Views

Equality of two sets in measure theory, with finite function for almost everywhere

Published on 28 Mar 2023 - 4:06

score 30 · Answer 4 · 2023-04-08 14:11:09

30

Views

Almost sure bound for maximal of Gaussian R.V.

Published on 08 Apr 2023 - 14:11

score 447 · Answer 5 · 2023-04-12 14:07:08

447

Views

Are $L^p$ functions continuous almost everywhere?

Published on 12 Apr 2023 - 14:07

score 108 · Answer 6 · 2023-04-14 05:05:08

108

Views

Show that $\forall\varepsilon>0$, there exists a bounded continuous function $g(x)$ on $E$, such that $m(\{x\in E\mid f(x)\neq g(x)\})<\varepsilon$.

Published on 14 Apr 2023 - 5:05

score 101 · Answer 7 · 2023-04-16 13:29:31

101

Views

Separable and diffuse probability space is standard

Published on 16 Apr 2023 - 13:29

score 165 · Answer 8 · 2023-04-26 07:18:29

165

Views

Weak convergence and almost everywhere convergence on $H_0^1({\mathbb{R}}^N)$

Published on 26 Apr 2023 - 7:18

score 130 · Answer 9 · 2023-05-17 05:15:17

130

Views

Show $\int _{0} ^{\infty} \frac{|f(x)|}{|x-a|^b} dx <\infty$ for a.e. $a\in \mathbb{R}$ if $f$ Lebesgue integrable on $\mathbb{R}$, $b\in (0,1)$

Published on 17 May 2023 - 5:15

score 45 · Answer 10 · 2023-05-22 20:44:25

45

Views

Conditional probability when the given outcome has probability $0$

Published on 22 May 2023 - 20:44

score 83 · Answer 11 · 2023-05-23 14:05:22

83

Views

Is convergent sequence in $L^2$ almost surely bounded?

Published on 23 May 2023 - 14:05

score 75 · Answer 12 · 2023-05-30 13:09:47

75

Views

Showing that a function is nonnegative almost everywhere on (0,1)

Published on 30 May 2023 - 13:09

score 283 · Answer 13 · 2023-06-12 22:55:29

283

Views

If random variables $X$ and $Y$ are equal in distribution, then there exists a measurable function $f$ such that $X(\omega)=Y(f(\omega))$ a.s.

Published on 12 Jun 2023 - 22:55

score 35 · Answer 14 · 2023-07-03 15:15:09

35

Views

Does separate almost everywhere continuity imply joint almost everywhere continuity?

Published on 03 Jul 2023 - 15:15

score 43 · Answer 15 · 2023-07-14 10:12:41

43

Views

Almost everywhere differentiable functions: what can we do? Integration by parts?

Published on 14 Jul 2023 - 10:12

List Question

Defining convergence of a sequence of random variables.

Condition on Sobolev function on the boundary of a domain

Equality of two sets in measure theory, with finite function for almost everywhere

Almost sure bound for maximal of Gaussian R.V.

Are $L^p$ functions continuous almost everywhere?

Show that $\forall\varepsilon>0$, there exists a bounded continuous function $g(x)$ on $E$, such that $m(\{x\in E\mid f(x)\neq g(x)\})<\varepsilon$.

Separable and diffuse probability space is standard

Weak convergence and almost everywhere convergence on $H_0^1({\mathbb{R}}^N)$

Show $\int _{0} ^{\infty} \frac{|f(x)|}{|x-a|^b} dx <\infty$ for a.e. $a\in \mathbb{R}$ if $f$ Lebesgue integrable on $\mathbb{R}$, $b\in (0,1)$

Conditional probability when the given outcome has probability $0$

Is convergent sequence in $L^2$ almost surely bounded?

Showing that a function is nonnegative almost everywhere on (0,1)

If random variables $X$ and $Y$ are equal in distribution, then there exists a measurable function $f$ such that $X(\omega)=Y(f(\omega))$ a.s.

Does separate almost everywhere continuity imply joint almost everywhere continuity?

Almost everywhere differentiable functions: what can we do? Integration by parts?

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