List questions from conditional-expectation

Published on 26 Mar 2026 - 12:54

224

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How is this random variable $Y$ defined rigorously?

Published on 25 Mar 2026 - 12:37

167

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Is conditional expectation continuous in conditioning argument?

Published on 08 Apr 2026 - 17:03

47

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When does $\mathbb{E}\left[h(X, Y) \, \vert \, X = x \right] = \mathbb{E}\left[h(x,Y) \, \vert \, X = x \right]$ hold?

Published on 14 Apr 2026 - 22:20

125

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Using Conditional Expectation to find probability of success for Bernoulli Trials

Published on 11 Apr 2026 - 23:55

81

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Conditional expectation of iid random variables measure theory

Published on 12 Apr 2026 - 1:16

202

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How to interpretate the conditional expectation on a sub-$\sigma$-algebra?

Published on 11 Apr 2026 - 2:01

101

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Martingale and card withdrawal

Published on 14 Apr 2026 - 17:48

565

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Is my proof of the conditionnal Jensen's inequality correct?

Published on 15 Apr 2026 - 4:38

40

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Show that this is a random inner product

Published on 15 Apr 2026 - 11:16

62

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If $ Y=Z_{1}+Z_{2} $ then $ \mathbb{E}[Y|X]=\mathbb{E}[Z_{1}|X]+\mathbb{E}[Z_{2}|X] $?

Published on 15 Apr 2026 - 9:14

39

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A randomly partitioned circle has small pieces

Published on 16 Apr 2026 - 7:24

48

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Writing the iterated expectation with a single integral

Published on 25 Mar 2026 - 19:02

34

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Application of Anderson's inequality to Gaussian vector

Published on 11 Apr 2026 - 14:46

512

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Conditional expectation of i.i.d random variables E(X1X2X3|X1)

Published on 12 Apr 2026 - 22:45

List Question

Law of Iterated Expectation for RVs with Stieltjes Integral.

How is this random variable $Y$ defined rigorously?

Is conditional expectation continuous in conditioning argument?

When does $\mathbb{E}\left[h(X, Y) \, \vert \, X = x \right] = \mathbb{E}\left[h(x,Y) \, \vert \, X = x \right]$ hold?

Using Conditional Expectation to find probability of success for Bernoulli Trials

Conditional expectation of iid random variables measure theory

How to interpretate the conditional expectation on a sub-$\sigma$-algebra?

Martingale and card withdrawal

Is my proof of the conditionnal Jensen's inequality correct?

Show that this is a random inner product

If $ Y=Z_{1}+Z_{2} $ then $ \mathbb{E}[Y|X]=\mathbb{E}[Z_{1}|X]+\mathbb{E}[Z_{2}|X] $?

A randomly partitioned circle has small pieces

Writing the iterated expectation with a single integral

Application of Anderson's inequality to Gaussian vector

Conditional expectation of i.i.d random variables E(X1X2X3|X1)

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