Question

Basic proof for conditional expectations

score 25 · Answer 1 · 2026-03-27 04:11:48

25

Views

Basic proof for conditional expectations

Published on 27 Mar 2026 - 4:11

score 121 · Answer 2 · 2026-03-26 12:58:02

121

Views

Conditional expectation of arrivals in Poisson process given that $N(1)=1$

Published on 26 Mar 2026 - 12:58

score 52 · Answer 3 · 2019-07-20 13:57:32

52

Views

Show $E[XY|G]=E[X|G]\cdot E[Y|G]$ whenever $X,Y \in L^2$ are independent.

Published on 20 Jul 2019 - 13:57

score 360 · Answer 4 · 2019-07-20 15:54:54

360

Views

Is it possible to remove a variable from a conditional expectation expression?

Published on 20 Jul 2019 - 15:54

score 83 · Answer 5 · 2026-03-27 07:20:01

83

Views

Conditional Expectation Dice Roll - 6 after known amount of rolls

Published on 27 Mar 2026 - 7:20

score 49 · Answer 6 · 2019-07-25 17:23:11

49

Views

Conditional Expectation Problem: Mistake in my argument

Published on 25 Jul 2019 - 17:23

score 398 · Answer 7 · 2026-03-27 01:45:59

398

Views

Conditional expectation of sum of two uniform random variables

Published on 27 Mar 2026 - 1:45

score 425 · Answer 8 · 2026-03-27 13:20:25

425

Views

If $Y\sim\mu$ with probability $p$ and $Y\sim\kappa(X,\;\cdot\;)$ otherwise, what's the conditional distribution of $Y$ given $X$?

Published on 27 Mar 2026 - 13:20

score 43 · Answer 9 · 2026-03-28 00:29:46

43

Views

If $A,B,C$ are events, can we show that $A\perp\!\!\!\perp_CB$ if and only if $A\perp\!\!\!\perp_{\sigma(C)}B$?

Published on 28 Mar 2026 - 0:29

score 63 · Answer 10 · 2019-07-27 15:18:36

63

Views

Can we show that $1_A\text E[X\mid\mathcal F]=1_AY\Leftrightarrow\forall F\in\mathcal F:\text E[1_A1_FX]=\text E[1_A1_FY]?$

Published on 27 Jul 2019 - 15:18

score 322 · Answer 11 · 2026-03-28 00:35:27

322

Views

Conditional expectation of composition of independent stochastic processes

Published on 28 Mar 2026 - 0:35

score 44 · Answer 12 · 2019-07-31 12:04:39

44

Views

${\rm{E}}\left[ {{\rm{X - Y|2X + Y}}} \right]$ given that X and Y are correlated Gaussian r.v.

Published on 31 Jul 2019 - 12:04

score 125 · Answer 13 · 2026-03-29 22:29:57

125

Views

If $Y\sim\mathcal N_{X,\:\sigma^2}$ and $Z\sim\mathcal N_{Y,\:\sigma^2}$, can we show that $Z\sim\mathcal N_{X,\:2\sigma^2}$?

Published on 29 Mar 2026 - 22:29

score 30 · Answer 14 · 2019-07-31 15:10:56

30

Views

Joint expectation vs conditional expectations

Published on 31 Jul 2019 - 15:10

score 245 · Answer 15 · 2026-03-29 22:28:12

245

Views

Conditional expected value of a maximum of uniform random variables

Published on 29 Mar 2026 - 22:28

List Question

Basic proof for conditional expectations

Conditional expectation of arrivals in Poisson process given that $N(1)=1$

Show $E[XY|G]=E[X|G]\cdot E[Y|G]$ whenever $X,Y \in L^2$ are independent.

Is it possible to remove a variable from a conditional expectation expression?

Conditional Expectation Dice Roll - 6 after known amount of rolls

Conditional Expectation Problem: Mistake in my argument

Conditional expectation of sum of two uniform random variables

If $Y\sim\mu$ with probability $p$ and $Y\sim\kappa(X,\;\cdot\;)$ otherwise, what's the conditional distribution of $Y$ given $X$?

If $A,B,C$ are events, can we show that $A\perp\!\!\!\perp_CB$ if and only if $A\perp\!\!\!\perp_{\sigma(C)}B$?

Can we show that $1_A\text E[X\mid\mathcal F]=1_AY\Leftrightarrow\forall F\in\mathcal F:\text E[1_A1_FX]=\text E[1_A1_FY]?$

Conditional expectation of composition of independent stochastic processes

${\rm{E}}\left[ {{\rm{X - Y|2X + Y}}} \right]$ given that X and Y are correlated Gaussian r.v.

If $Y\sim\mathcal N_{X,\:\sigma^2}$ and $Z\sim\mathcal N_{Y,\:\sigma^2}$, can we show that $Z\sim\mathcal N_{X,\:2\sigma^2}$?

Joint expectation vs conditional expectations

Conditional expected value of a maximum of uniform random variables

Trending Questions

Popular # Hahtags

Popular Questions