List questions from expected-value

60

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Why does $\int_{-\infty}^{\infty} |x-b|f(x)dx=\int_{-\infty}^b(b-x)f(x)dx+\int_{b}^{\infty}(x-b)f(x)dx$?

Published on 16 Apr 2026 - 18:19

1.2k

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Compute expectation of stopped Brownian motion

Published on 13 Apr 2026 - 1:26

130

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Expectation of stochastically bounded expression.

Published on 10 May 2026 - 12:31

79

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Deviation of empirical average from the mean for the fourth moment

Published on 11 May 2026 - 0:47

1.4k

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Expected Value with Fair Coin Toss Game

Published on 09 Apr 2026 - 16:09

102

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Expected Value Composition

Published on 10 May 2026 - 11:53

46

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Expected price change decomposition from finance: bogus or can it be made rigorous?

Published on 15 Apr 2026 - 16:12

70

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Meaning of indicator variable in this problem

Published on 13 Apr 2026 - 16:23

17.4k

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Calculating Fisher Information for Bernoulli rv

Published on 13 Apr 2026 - 10:35

219

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Sum of Moment Generating Functions determined by a Random Variable

Published on 25 Mar 2026 - 7:41

1k

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Law of large numbers and a product of random variables

Published on 13 Apr 2026 - 18:29

155

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Show that $E|X-Y| = \int_{\mathbb{R}}[F(t) + G(t) - 2H(t,t)]dt $

Published on 15 Apr 2026 - 23:02

44

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Deriving the expression for $\mathbb{E}|X-Y|^{\alpha}$, $\alpha > 1$, using CDF's $F,G$ and joint $H$.

Published on 16 Apr 2026 - 1:44

639

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Coupon Collecting Problem: $4$ coupons with $p_1 = p_2 = \frac{1}{8}$ and $p_3 = p_4 = \frac{3}{8}$

Published on 28 Apr 2026 - 9:18

547

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Expectation of product of more than two independent random variables

Published on 11 Apr 2026 - 15:30

List Question

Why does $\int_{-\infty}^{\infty} |x-b|f(x)dx=\int_{-\infty}^b(b-x)f(x)dx+\int_{b}^{\infty}(x-b)f(x)dx$?

Compute expectation of stopped Brownian motion

Expectation of stochastically bounded expression.

Deviation of empirical average from the mean for the fourth moment

Expected Value with Fair Coin Toss Game

Expected Value Composition

Expected price change decomposition from finance: bogus or can it be made rigorous?

Meaning of indicator variable in this problem

Calculating Fisher Information for Bernoulli rv

Sum of Moment Generating Functions determined by a Random Variable

Law of large numbers and a product of random variables

Show that $E|X-Y| = \int_{\mathbb{R}}[F(t) + G(t) - 2H(t,t)]dt $

Deriving the expression for $\mathbb{E}|X-Y|^{\alpha}$, $\alpha > 1$, using CDF's $F,G$ and joint $H$.

Coupon Collecting Problem: $4$ coupons with $p_1 = p_2 = \frac{1}{8}$ and $p_3 = p_4 = \frac{3}{8}$

Expectation of product of more than two independent random variables

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