Question

Existence of a probability measure on $\mathbb{N}^{\mathbb{N}}$

score 99 · Answer 1 · 2026-04-18 18:07:47

99

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Existence of a probability measure on $\mathbb{N}^{\mathbb{N}}$

Published on 18 Apr 2026 - 18:07

score 59 · Answer 2 · 2026-05-16 21:17:12

59

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Are semianalytic sets Lebesgue measurable?

Published on 16 May 2026 - 21:17

score 195 · Answer 3 · 2026-04-16 07:51:45

195

Views

Questions on proving the lower bound for $P\left(\limsup\limits_{n\rightarrow \infty} A_n\right) \geq \frac{1}{C}$

Published on 16 Apr 2026 - 7:51

score 55 · Answer 4 · 2026-04-13 08:04:36

55

Views

Existence of measurable functions

Published on 13 Apr 2026 - 8:04

score 2.1k · Answer 5 · 2026-03-25 12:45:45

2.1k

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Tail event example

Published on 25 Mar 2026 - 12:45

score 787 · Answer 6 · 2026-04-12 21:40:41

787

Views

Given $\mu$ is semifinite and $\mu(E)=\infty$, prove that if $C>0$, then $\exists$ measurable set $A \subseteq E$ such that $C < \mu(A) < \infty.$

Published on 12 Apr 2026 - 21:40

score 88 · Answer 7 · 2026-05-10 20:52:21

88

Views

Prove the set for which a sequence of continuous functions converge is Borel

Published on 10 May 2026 - 20:52

score 95 · Answer 8 · 2026-04-15 10:58:31

95

Views

Show the Set is Measurable

Published on 15 Apr 2026 - 10:58

score 42 · Answer 9 · 2026-05-16 21:22:36

42

Views

Are $(\alpha ,\beta]$ and $[\alpha ,\beta)$ lebesgue measurable?

Published on 16 May 2026 - 21:22

score 154 · Answer 10 · 2026-05-10 19:10:26

154

Views

A random variable $X$ is $P$-a.s. constant iff $\sigma(X)$ is $P$-trivial - for which state spaces?

Published on 10 May 2026 - 19:10

score 128 · Answer 11 · 2026-05-16 21:23:20

128

Views

A subset of a finite interval is Lebesgue measurable

Published on 16 May 2026 - 21:23

score 44 · Answer 12 · 2026-05-16 21:17:02

44

Views

How to show sequnce of function converges uniformly on any set on which function is bounded?

Published on 16 May 2026 - 21:17

score 46 · Answer 13 · 2026-04-13 00:08:43

46

Views

How to prove that the marginals of the limit distribution are the limits of the marginals of a sequence of measures?

Published on 13 Apr 2026 - 0:08

score 149 · Answer 14 · 2026-05-14 09:25:28

149

Views

Proof explanation: $I_A$ is measurable$ \iff A$ is measurable

Published on 14 May 2026 - 9:25

score 63 · Answer 15 · 2026-05-10 17:46:20

63

Views

If we have a sequence of measurable functions that is Cauchy with respect to the weak L^p norm, is it Cauchy with respect to the L^p norm?

Published on 10 May 2026 - 17:46

List Question

Existence of a probability measure on $\mathbb{N}^{\mathbb{N}}$

Are semianalytic sets Lebesgue measurable?

Questions on proving the lower bound for $P\left(\limsup\limits_{n\rightarrow \infty} A_n\right) \geq \frac{1}{C}$

Existence of measurable functions

Tail event example

Given $\mu$ is semifinite and $\mu(E)=\infty$, prove that if $C>0$, then $\exists$ measurable set $A \subseteq E$ such that $C < \mu(A) < \infty.$

Prove the set for which a sequence of continuous functions converge is Borel

Show the Set is Measurable

Are $(\alpha ,\beta]$ and $[\alpha ,\beta)$ lebesgue measurable?

A random variable $X$ is $P$-a.s. constant iff $\sigma(X)$ is $P$-trivial - for which state spaces?

A subset of a finite interval is Lebesgue measurable

How to show sequnce of function converges uniformly on any set on which function is bounded?

How to prove that the marginals of the limit distribution are the limits of the marginals of a sequence of measures?

Proof explanation: $I_A$ is measurable$ \iff A$ is measurable

If we have a sequence of measurable functions that is Cauchy with respect to the weak L^p norm, is it Cauchy with respect to the L^p norm?

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