List questions from expected-value

57

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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 13 Sep 2018 - 3:14

1.2k

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Compute expectation of stopped Brownian motion

Published on 13 Sep 2018 - 5:33

120

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Expectation of stochastically bounded expression.

Published on 17 Mar 2026 - 11:52

75

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Deviation of empirical average from the mean for the fourth moment

Published on 13 Sep 2018 - 15:02

1.4k

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Expected Value with Fair Coin Toss Game

Published on 14 Sep 2018 - 0:13

98

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Expected Value Composition

Published on 15 Sep 2018 - 17:38

43

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

Published on 15 Sep 2018 - 18:43

67

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Meaning of indicator variable in this problem

Published on 16 Sep 2018 - 11:02

17.4k

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Calculating Fisher Information for Bernoulli rv

Published on 16 Sep 2018 - 15:07

218

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Sum of Moment Generating Functions determined by a Random Variable

Published on 22 Mar 2026 - 4:43

1k

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Law of large numbers and a product of random variables

Published on 16 Sep 2018 - 17:40

152

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

Published on 17 Sep 2018 - 16:52

41

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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 17 Sep 2018 - 18:03

637

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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 22 Mar 2026 - 10:48

544

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Expectation of product of more than two independent random variables

Published on 18 Sep 2018 - 21:20

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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