Question

With regard to random variables, does $(X/Y)$ independent of $(Y)$ imply that $(X)$ is independent of $(Y)$?

score 42 · Answer 1 · 2019-02-21 01:53:35

42

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With regard to random variables, does $(X/Y)$ independent of $(Y)$ imply that $(X)$ is independent of $(Y)$?

Published on 21 Feb 2019 - 1:53

score 602 · Answer 2 · 2019-02-22 08:27:24

602

Views

reliability of k out of n system

Published on 22 Feb 2019 - 8:27

score 543 · Answer 3 · 2026-03-25 12:50:53

543

Views

Application of Kolmogorov 0-1 Law for $S_x := \{\lim_{n\rightarrow\infty}\frac{1}{n}\sum_{i=1}^{n}1_{A_{i}}\leq x\}$

Published on 25 Mar 2026 - 12:50

score 37 · Answer 4 · 2026-03-26 23:59:59

37

Views

Probability space and independence

Published on 26 Mar 2026 - 23:59

score 31 · Answer 5 · 2019-02-23 19:57:29

31

Views

Probability calculation from distributions.

Published on 23 Feb 2019 - 19:57

score 46 · Answer 6 · 2019-02-26 04:22:43

46

Views

E[Z=XY] not matching with Z = Binom(4,p)

Published on 26 Feb 2019 - 4:22

score 25 · Answer 7 · 2019-02-28 05:46:03

25

Views

$\{Y_i, \forall i \ge 0\}$ is iid random variable, is this equation true?

Published on 28 Feb 2019 - 5:46

score 183 · Answer 8 · 2019-02-28 10:59:53

183

Views

Conditionally dependent and correlated but the expected conditional covariance is zero

Published on 28 Feb 2019 - 10:59

score 403 · Answer 9 · 2026-03-26 09:42:26

403

Views

Probability of having a good set by choosing independently from Universe

Published on 26 Mar 2026 - 9:42

score 39 · Answer 10 · 2019-03-02 11:22:38

39

Views

If $\forall s\in\mathbb R^d, \forall F \in \mathcal F\ E[e^{i<s,X>}I_F]=E[e^{i<s,X>}]P[F]$ then $X$ is independen of $\mathcal F$

Published on 02 Mar 2019 - 11:22

score 35 · Answer 11 · 2019-03-03 07:35:41

35

Views

Independence of Intersection of Chords in a cirle

Published on 03 Mar 2019 - 7:35

score 98 · Answer 12 · 2019-03-03 21:10:26

98

Views

How to show $\{u_1,\sum_i^2{u_i},\cdots,\sum_i^n{u_i}\}$ is linearly independent if $\{u_1,{u_2},\cdots,{u_n}\}$?

Published on 03 Mar 2019 - 21:10

score 188 · Answer 13 · 2019-03-04 12:34:34

188

Views

Does $X - E(X|Z) \perp \!\!\! \perp Y - E(Y|Z)$ imply $(X \perp \!\!\! \perp Y) | Z$?

Published on 04 Mar 2019 - 12:34

score 172 · Answer 14 · 2019-03-04 16:32:02

172

Views

Determining whether A, B and C are independent.

Published on 04 Mar 2019 - 16:32

score 104 · Answer 15 · 2019-03-04 16:53:13

104

Views

Prove that $X$ and $Y$ are independent random variables.

Published on 04 Mar 2019 - 16:53

List Question

With regard to random variables, does $(X/Y)$ independent of $(Y)$ imply that $(X)$ is independent of $(Y)$?

reliability of k out of n system

Application of Kolmogorov 0-1 Law for $S_x := \{\lim_{n\rightarrow\infty}\frac{1}{n}\sum_{i=1}^{n}1_{A_{i}}\leq x\}$

Probability space and independence

Probability calculation from distributions.

E[Z=XY] not matching with Z = Binom(4,p)

$\{Y_i, \forall i \ge 0\}$ is iid random variable, is this equation true?

Conditionally dependent and correlated but the expected conditional covariance is zero

Probability of having a good set by choosing independently from Universe

If $\forall s\in\mathbb R^d, \forall F \in \mathcal F\ E[e^{i<s,X>}I_F]=E[e^{i<s,X>}]P[F]$ then $X$ is independen of $\mathcal F$

Independence of Intersection of Chords in a cirle

How to show $\{u_1,\sum_i^2{u_i},\cdots,\sum_i^n{u_i}\}$ is linearly independent if $\{u_1,{u_2},\cdots,{u_n}\}$?

Does $X - E(X|Z) \perp \!\!\! \perp Y - E(Y|Z)$ imply $(X \perp \!\!\! \perp Y) | Z$?

Determining whether A, B and C are independent.

Prove that $X$ and $Y$ are independent random variables.

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