List questions from conditional-expectation

Published on 07 Feb 2017 - 15:59

79

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Conditional probability, $E[E(X\mid Y)\mid Y,Z]=?$

Published on 07 Feb 2017 - 19:21

65

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How do I simplify $E[E(ZX\mid Y)\mid Z,Y]$?

Published on 07 Feb 2017 - 20:40

2.7k

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Expectation of ratio of sums of i.i.d. random variables. What's wrong with the simple answer?

Published on 09 Feb 2017 - 2:53

690

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The "joint density function of 1 variable 'uniform' trick" to calculate conditional expectation and variance

Published on 26 Mar 2026 - 7:58

48

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Find expectation, $\mathbb{E}[(X_1Y+X_2)^2|X_1,X_2]$

Published on 12 Feb 2017 - 5:46

316

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An Application of Functional Monotone Class Theorem to Conditional Expectation

Published on 14 Feb 2017 - 9:50

75

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Explicit computation of a conditional expectation

Published on 14 Feb 2017 - 14:46

781

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Mistake proving Jensen's inequality (conditional expectation)

Published on 15 Feb 2017 - 12:40

146

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Show: $\lim\limits_{y \to +\infty}\left [\frac{1}{\sqrt{\pi}e^{y^2}(1-\text{erf}(y))}-y\right]=0.$

Published on 27 Mar 2026 - 16:25

125

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Median of distribution

Published on 26 Mar 2026 - 6:05

100

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How to prove that $E^Y(h(X)|y) = \int h(x)\mathcal{L}_{X|Y}(dx|y)$?

Published on 17 Feb 2017 - 8:06

1k

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How can I show that E[Y|X]= X^2

Published on 17 Feb 2017 - 19:48

316

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Fundamental property of conditional expectation

Published on 19 Feb 2017 - 8:48

108

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Compute $E[e^Y|X]$, where $X,Y\sim N(0,1)$

Published on 22 Feb 2017 - 18:58

List Question

$ E[X|Y]=0 \iff E[X|Y,Z]=0$ : True for every $X=f(Y,Z)$?

Conditional probability, $E[E(X\mid Y)\mid Y,Z]=?$

How do I simplify $E[E(ZX\mid Y)\mid Z,Y]$?

Expectation of ratio of sums of i.i.d. random variables. What's wrong with the simple answer?

The "joint density function of 1 variable 'uniform' trick" to calculate conditional expectation and variance

Find expectation, $\mathbb{E}[(X_1Y+X_2)^2|X_1,X_2]$

An Application of Functional Monotone Class Theorem to Conditional Expectation

Explicit computation of a conditional expectation

Mistake proving Jensen's inequality (conditional expectation)

Show: $\lim\limits_{y \to +\infty}\left [\frac{1}{\sqrt{\pi}e^{y^2}(1-\text{erf}(y))}-y\right]=0.$

Median of distribution

How to prove that $E^Y(h(X)|y) = \int h(x)\mathcal{L}_{X|Y}(dx|y)$?

How can I show that E[Y|X]= X^2

Fundamental property of conditional expectation

Compute $E[e^Y|X]$, where $X,Y\sim N(0,1)$

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