List questions from expectation

Published on 31 Mar 2026 - 15:07

685

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Random points on a sphere — expected angular distance

Published on 25 Mar 2026 - 23:17

147

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Find the mathematical expectation

Published on 05 May 2016 - 15:28

152

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Expected sum value of permutaion

Published on 06 May 2016 - 18:57

59

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Expectation that the last bin is empty (balls and bins questions)

Published on 27 Mar 2026 - 8:42

163

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Show the sample mean converges to minus infinity when ${X_n}$ are i.i.d. and $E(X_n^+)<\infty$ and $E(X_n{^-})=\infty$

Published on 08 May 2016 - 23:50

84

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Proof that $E(F_X(X/\sigma))=\frac12$ for every positive $\sigma$

Published on 09 May 2016 - 15:34

87

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Archer Poisson Process problem

Published on 08 Apr 2026 - 3:59

543

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Use cdf to find expectation

Published on 28 Mar 2026 - 22:37

74

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Show $\mathbb{E}(\sum_{i=1}^n(X_i-(\frac{1}{n}\sum_{i=1}^{n}X_i))^2)=(n-1)\mathbb{V}(X)$

Published on 10 May 2016 - 2:50

104

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How to show $P(|X-E(X)|\leq x)=1\implies V(X)\leq x^2$

Published on 10 May 2016 - 6:01

713

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Mean and variance of the sum of cgf gamma and poisson distribution

Published on 11 May 2016 - 3:02

2.8k

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How to find $E[e^{\lambda X}]$ for a random variable $X$?

Published on 11 May 2016 - 9:07

158

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How to simplify the expectation $E[e^{\theta Y}]^n$?

Published on 07 Apr 2026 - 17:24

3.8k

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Mean and Variance Geometric Brownian Motion with not constant drift and volatility

Published on 03 Apr 2026 - 14:28

List Question

How to use Expectation Maximization (EM) in Item Response Theory (IRT)?

Random points on a sphere — expected angular distance

Find the mathematical expectation

Expected sum value of permutaion

Expectation that the last bin is empty (balls and bins questions)

Show the sample mean converges to minus infinity when ${X_n}$ are i.i.d. and $E(X_n^+)<\infty$ and $E(X_n{^-})=\infty$

Proof that $E(F_X(X/\sigma))=\frac12$ for every positive $\sigma$

Archer Poisson Process problem

Use cdf to find expectation

Show $\mathbb{E}(\sum_{i=1}^n(X_i-(\frac{1}{n}\sum_{i=1}^{n}X_i))^2)=(n-1)\mathbb{V}(X)$

How to show $P(|X-E(X)|\leq x)=1\implies V(X)\leq x^2$

Mean and variance of the sum of cgf gamma and poisson distribution

How to find $E[e^{\lambda X}]$ for a random variable $X$?

How to simplify the expectation $E[e^{\theta Y}]^n$?

Mean and Variance Geometric Brownian Motion with not constant drift and volatility

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