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Conditional expectation - conditioning with independent variables

score 417 · Answer 1 · 2026-04-11 16:32:55

417

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Conditional expectation - conditioning with independent variables

Published on 11 Apr 2026 - 16:32

score 330 · Answer 2 · 2026-04-12 13:28:23

330

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Regular conditional probability for the 0-1 sigma-algebra

Published on 12 Apr 2026 - 13:28

score 104 · Answer 3 · 2017-06-26 19:43:06

104

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Conditional expectation $E\left[XY|X+Y=m\right]$ for independent normals

Published on 26 Jun 2017 - 19:43

score 437 · Answer 4 · 2026-04-12 08:48:50

437

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Rate of convergence for filtration and conditional expectations

Published on 12 Apr 2026 - 8:48

score 2.7k · Answer 5 · 2026-04-08 17:32:26

2.7k

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Examples of super- and sub- martingale, which is not a random walk, nor a function of such

Published on 08 Apr 2026 - 17:32

score 77 · Answer 6 · 2017-06-29 14:05:38

77

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$\mathcal{J}$ trivial iff $E[X \mid \mathcal{J}]$ is $\mathbb P$-almost surely constant for all $X \in L^1$

Published on 29 Jun 2017 - 14:05

score 36 · Answer 7 · 2017-07-01 07:52:24

36

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If $U_1, U_2$ are iid $Unif(0,1)$, how to compute $E[U_1\mid|U_1-U_2|<a]$ for $a < \frac{1}{2}$?

Published on 01 Jul 2017 - 7:52

score 108 · Answer 8 · 2026-04-10 20:31:25

108

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Finiteness of Expectation - Example (Conditional Expectation)

Published on 10 Apr 2026 - 20:31

score 2.2k · Answer 9 · 2026-04-10 03:24:03

2.2k

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Minimizing the expectation of the loss function

Published on 10 Apr 2026 - 3:24

score 168 · Answer 10 · 2026-04-11 20:33:35

168

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Find $E(X\mid Y)$ if $Y$ is beta and $X$ conditionally on $Y$ is geometric with parameter $Y$

Published on 11 Apr 2026 - 20:33

score 66 · Answer 11 · 2026-04-11 23:20:33

66

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Calculate the marginal distribution of $X$ given the joint distribution of $(X,Y)$

Published on 11 Apr 2026 - 23:20

score 559 · Answer 12 · 2026-04-10 17:19:29

559

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Conditional Expectation under Transformation of Variables

Published on 10 Apr 2026 - 17:19

score 309 · Answer 13 · 2026-04-11 13:59:01

309

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Definition of Conditional Expectation and its Uniqueness

Published on 11 Apr 2026 - 13:59

score 86 · Answer 14 · 2026-04-11 11:36:53

86

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How to define $E(X|\mathbb{1}_{A})$?

Published on 11 Apr 2026 - 11:36

score 1.1k · Answer 15 · 2026-04-01 07:22:58

1.1k

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Show that an estimation procedure can be consistent without being unbiased or asymptotically unbiased.

Published on 01 Apr 2026 - 7:22

List Question

Conditional expectation - conditioning with independent variables

Regular conditional probability for the 0-1 sigma-algebra

Conditional expectation $E\left[XY|X+Y=m\right]$ for independent normals

Rate of convergence for filtration and conditional expectations

Examples of super- and sub- martingale, which is not a random walk, nor a function of such

$\mathcal{J}$ trivial iff $E[X \mid \mathcal{J}]$ is $\mathbb P$-almost surely constant for all $X \in L^1$

If $U_1, U_2$ are iid $Unif(0,1)$, how to compute $E[U_1\mid|U_1-U_2|<a]$ for $a < \frac{1}{2}$?

Finiteness of Expectation - Example (Conditional Expectation)

Minimizing the expectation of the loss function

Find $E(X\mid Y)$ if $Y$ is beta and $X$ conditionally on $Y$ is geometric with parameter $Y$

Calculate the marginal distribution of $X$ given the joint distribution of $(X,Y)$

Conditional Expectation under Transformation of Variables

Definition of Conditional Expectation and its Uniqueness

How to define $E(X|\mathbb{1}_{A})$?

Show that an estimation procedure can be consistent without being unbiased or asymptotically unbiased.

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