Question

Is it possible that a random variable is greater 0 a.e. and its expectation is still 0?

score 60 · Answer 1 · 2022-01-29 07:28:12

60

Views

Is it possible that a random variable is greater 0 a.e. and its expectation is still 0?

Published on 29 Jan 2022 - 7:28

score 72 · Answer 2 · 2022-02-03 18:24:46

72

Views

If the measure of X is infinity and fn converges to 0 a.e. then is it true that fn converges to 0 in measure?

Published on 03 Feb 2022 - 18:24

score 194 · Answer 3 · 2022-02-10 15:18:22

194

Views

Having the same law of its Conditional Excpectation implies equality almost surely

Published on 10 Feb 2022 - 15:18

score 65 · Answer 4 · 2022-02-12 13:02:07

65

Views

L2 convergence of weighted iid normal distribution

Published on 12 Feb 2022 - 13:02

score 199 · Answer 5 · 2022-02-13 02:32:24

199

Views

Showing that the absolute value of |X| converges almost surely.

Published on 13 Feb 2022 - 2:32

score 141 · Answer 6 · 2026-03-29 04:26:28

141

Views

Show that the sum of the random variables converges absolutely almost surely for given conditions.

Published on 29 Mar 2026 - 4:26

score 124 · Answer 7 · 2022-02-17 17:52:09

124

Views

Almost sure convergence for absolute value of random variables and inequalities and supremums

Published on 17 Feb 2022 - 17:52

score 108 · Answer 8 · 2026-02-26 07:58:48

108

Views

necessary and sufficient conditions of $\frac{X_n}{a_n}\rightarrow0, \frac{S_n}{a_n}\rightarrow0$ and $\frac{max\{X_1,...,X_n\}}{a_n}\rightarrow0$.

Published on 26 Feb 2026 - 7:58

score 48 · Answer 9 · 2026-02-26 09:41:39

48

Views

A topology $\tau$ on $ L([0,1])$ that induces the $almost-everywhere$ convergence on $[0,1]$

Published on 26 Feb 2026 - 9:41

score 63 · Answer 10 · 2022-03-13 20:07:18

63

Views

What kind of convergence is understood with almost everywhere convergence?

Published on 13 Mar 2022 - 20:07

score 52 · Answer 11 · 2022-03-21 11:24:01

52

Views

Application of a result with a stopping time instead of a deterministic time

Published on 21 Mar 2022 - 11:24

score 217 · Answer 12 · 2022-03-28 11:04:03

217

Views

Doubts regarding almost uniform convergence

Published on 28 Mar 2022 - 11:04

score 914 · Answer 13 · 2022-04-01 14:54:31

914

Views

If $f=g$ almost everywhere, $\int f=\int g$

Published on 01 Apr 2022 - 14:54

score 104 · Answer 14 · 2022-04-02 13:05:52

104

Views

For independent Bernouilli RVs, $X_n \to 0$ a.s. iff $\sum \mathbb{P}(X_n=1) < \infty$

Published on 02 Apr 2022 - 13:05

score 226 · Answer 15 · 2022-04-02 15:07:38

226

Views

How do I show that a continuous function preserves a.s. convergence?

Published on 02 Apr 2022 - 15:07

List Question

Is it possible that a random variable is greater 0 a.e. and its expectation is still 0?

If the measure of X is infinity and fn converges to 0 a.e. then is it true that fn converges to 0 in measure?

Having the same law of its Conditional Excpectation implies equality almost surely

L2 convergence of weighted iid normal distribution

Showing that the absolute value of |X| converges almost surely.

Show that the sum of the random variables converges absolutely almost surely for given conditions.

Almost sure convergence for absolute value of random variables and inequalities and supremums

necessary and sufficient conditions of $\frac{X_n}{a_n}\rightarrow0, \frac{S_n}{a_n}\rightarrow0$ and $\frac{max\{X_1,...,X_n\}}{a_n}\rightarrow0$.

A topology $\tau$ on $ L([0,1])$ that induces the $almost-everywhere$ convergence on $[0,1]$

What kind of convergence is understood with almost everywhere convergence?

Application of a result with a stopping time instead of a deterministic time

Doubts regarding almost uniform convergence

If $f=g$ almost everywhere, $\int f=\int g$

For independent Bernouilli RVs, $X_n \to 0$ a.s. iff $\sum \mathbb{P}(X_n=1) < \infty$

How do I show that a continuous function preserves a.s. convergence?

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