List questions from expected-value

Published on 27 Mar 2026 - 2:33

64

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Expected value and variance question on asset prices, 95% confidence interval.

Published on 28 Mar 2026 - 9:26

36

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$\hat{\pi}(x) = \frac{1}{N} \sum_{i=1}^N \delta_{X_i}(x)$ as an approximation of distribution $\pi(x)$?

Published on 26 Mar 2026 - 17:50

1.2k

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If $E[Y\vert \mathcal{G}]=X$ and $E[X^2]=E[Y^2]<\infty$ then $X=Y$ a.s.

Published on 09 Sep 2019 - 20:47

371

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Expectation with Dirac measure

Published on 26 Mar 2026 - 21:07

1.2k

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expected hitting time of asymmetric random walk

Published on 25 Mar 2026 - 23:37

74

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How to show that $E[e^{W_s + W_t}] = e^{\frac{t+s}{2}}e^{\min(s,t)}$?

Published on 28 Mar 2026 - 15:26

92

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Why does Tower Law imply that $E[(X-Y)^{2}]=E[X^{2}]-E[Y^{2}]$

Published on 11 Sep 2019 - 18:51

150

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Show $\operatorname{Var}(X)=E(\operatorname{Var}(X\vert \mathcal{F}))+\operatorname{Var}(E(X\vert \mathcal{F}))$

Published on 12 Sep 2019 - 20:11

65

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$\mathbb E[|X_T|]$ when $\mathbb E[T]<\infty$

Published on 26 Mar 2026 - 3:09

67

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expected value of sum over sum of squares

Published on 13 Sep 2019 - 13:59

7.2k

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Expectation of absolute difference of two uniform random variables

Published on 14 Sep 2019 - 13:26

36

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If $E[X1_{X > Y}]=E[Y1_{X > Y}]$ and $E[X1_{X < Y}]=E[Y1_{X < Y}]$ then $X=Y$ a.s.

Published on 14 Sep 2019 - 19:53

47

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Difference between expectation of a random variable and of a function

Published on 15 Sep 2019 - 12:06

44

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Why is $0\leq E[(g-g_{n})1_{B}]=E[(f-f_{n})1_{B}]\leq 0$

Published on 15 Sep 2019 - 13:48

List Question

Finding a function to produce specific expectation.

Expected value and variance question on asset prices, 95% confidence interval.

$\hat{\pi}(x) = \frac{1}{N} \sum_{i=1}^N \delta_{X_i}(x)$ as an approximation of distribution $\pi(x)$?

If $E[Y\vert \mathcal{G}]=X$ and $E[X^2]=E[Y^2]<\infty$ then $X=Y$ a.s.

Expectation with Dirac measure

expected hitting time of asymmetric random walk

How to show that $E[e^{W_s + W_t}] = e^{\frac{t+s}{2}}e^{\min(s,t)}$?

Why does Tower Law imply that $E[(X-Y)^{2}]=E[X^{2}]-E[Y^{2}]$

Show $\operatorname{Var}(X)=E(\operatorname{Var}(X\vert \mathcal{F}))+\operatorname{Var}(E(X\vert \mathcal{F}))$

$\mathbb E[|X_T|]$ when $\mathbb E[T]<\infty$

expected value of sum over sum of squares

Expectation of absolute difference of two uniform random variables

If $E[X1_{X > Y}]=E[Y1_{X > Y}]$ and $E[X1_{X < Y}]=E[Y1_{X < Y}]$ then $X=Y$ a.s.

Difference between expectation of a random variable and of a function

Why is $0\leq E[(g-g_{n})1_{B}]=E[(f-f_{n})1_{B}]\leq 0$

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