List questions from conditional-expectation

Published on 05 Apr 2026 - 19:01

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Expected number of two successive tosses is the same?

Published on 06 Apr 2026 - 9:24

166

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Conditional expectation of an $L^p$ random variable

Published on 22 Nov 2015 - 10:12

112

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$E[Y^2| (X-Y)^+]$ for $X,Y\stackrel{iid}\sim Unif(0,1)$

Published on 01 Apr 2026 - 19:06

377

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Successive conditional expectations with respect to different sigma-algebras

Published on 23 Nov 2015 - 4:17

382

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Conditional expectation of a random variable conditional on a function of the random variable

Published on 23 Nov 2015 - 22:15

455

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Conditional expectation and sums of independent exponential random variables

Published on 24 Nov 2015 - 18:32

354

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Show that if $X \sim N(0,1)$ and $Y \sim N(0,1)$ then $\frac{X}{Y} \sim \mathcal{C}(0,1)$

Published on 24 Nov 2015 - 19:24

282

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Find conditional expectation $\mathbb{E}(Y|X)$.

Published on 24 Nov 2015 - 23:27

1.7k

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Expectation of a quotient of random variables

Published on 25 Nov 2015 - 13:52

278

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$L^1$ convergence of a martingale, conditional expectation

Published on 05 Apr 2026 - 19:03

45

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$E[\varphi(X_t)|\mathcal{F}_t] = \varphi(E[X_t| \mathcal{F}_t]) $ implies adaptedness?

Published on 25 Nov 2015 - 22:30

166

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Expectation at 2nd draw from urn.

Published on 06 Apr 2026 - 12:36

591

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Expectation from conditional distribution

Published on 28 Nov 2015 - 9:44

124

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Convergence of Moment Generating Function Given a Bound on the Random Variable, ie $\Bbb{E}(e^{\lambda X} | X \le K) \uparrow \Bbb{E}(e^{\lambda X})$

Published on 28 Nov 2015 - 18:32

List Question

Polya's urn (martingale)

Expected number of two successive tosses is the same?

Conditional expectation of an $L^p$ random variable

$E[Y^2| (X-Y)^+]$ for $X,Y\stackrel{iid}\sim Unif(0,1)$

Successive conditional expectations with respect to different sigma-algebras

Conditional expectation of a random variable conditional on a function of the random variable

Conditional expectation and sums of independent exponential random variables

Show that if $X \sim N(0,1)$ and $Y \sim N(0,1)$ then $\frac{X}{Y} \sim \mathcal{C}(0,1)$

Find conditional expectation $\mathbb{E}(Y|X)$.

Expectation of a quotient of random variables

$L^1$ convergence of a martingale, conditional expectation

$E[\varphi(X_t)|\mathcal{F}_t] = \varphi(E[X_t| \mathcal{F}_t]) $ implies adaptedness?

Expectation at 2nd draw from urn.

Expectation from conditional distribution

Convergence of Moment Generating Function Given a Bound on the Random Variable, ie $\Bbb{E}(e^{\lambda X} | X \le K) \uparrow \Bbb{E}(e^{\lambda X})$

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