List questions from expectation

Published on 03 Oct 2016 - 5:27

191

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If $X$, $Y$ are i.i.d. with mean $m$ then $E((X-Y)\mathrm{sign}(X-m))>0$

Published on 31 Mar 2026 - 7:52

10.1k

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Does a Zero Variance imply a constant random variable?

Published on 31 Mar 2026 - 5:38

371

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Expectation of summation squared

Published on 29 Mar 2026 - 2:45

1k

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Cube of summation of independent (uncorrelated) random variables

Published on 05 Oct 2016 - 4:14

267

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Finding $E(X)$ and $Var(X)$ of a uniformally distributed continuous variable

Published on 30 Mar 2026 - 6:30

53

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Moment generating function for $f(x) = \frac{1}{2}e^{-|x|}$

Published on 27 Mar 2026 - 23:13

68

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Binary Classification : Prove that $\mathbb{E}_{\mathcal{D}_n}\left[R_e(h)\right] = R(h)$

Published on 05 Oct 2016 - 12:16

79

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An easy inequality involving the martingale norm

Published on 05 Oct 2016 - 19:49

22

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Poisson Process E[M(x)*M(x+y)]

Published on 30 Mar 2026 - 4:23

670

Views

Joint probability distribution of random variables in Bernoulli process

Published on 06 Oct 2016 - 0:36

119

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Expectation of of four random variables

Published on 28 Mar 2026 - 16:56

373

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If $X$ is $\mathcal G$-measurable and $Y$ is independent of $\mathcal G$, then $\text E[XY\mid\mathcal F]=\text E[Y]\text E[X\mid\mathcal F]$

Published on 31 Mar 2026 - 3:39

133

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Prove this inequality: $E[(\sum_i^n{X_i})^4] \leq n \times E[X_1^4] + 3 \times n^2 \times E[X_1^2]^2$

Published on 06 Oct 2016 - 21:26

118

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Difficult Expii Contest Question

Published on 06 Oct 2016 - 22:46

List Question

Axioms of Expectation Proof: Probability of Arbitrary Sets

If $X$, $Y$ are i.i.d. with mean $m$ then $E((X-Y)\mathrm{sign}(X-m))>0$

Does a Zero Variance imply a constant random variable?

Expectation of summation squared

Cube of summation of independent (uncorrelated) random variables

Finding $E(X)$ and $Var(X)$ of a uniformally distributed continuous variable

Moment generating function for $f(x) = \frac{1}{2}e^{-|x|}$

Binary Classification : Prove that $\mathbb{E}_{\mathcal{D}_n}\left[R_e(h)\right] = R(h)$

An easy inequality involving the martingale norm

Poisson Process E[M(x)*M(x+y)]

Joint probability distribution of random variables in Bernoulli process

Expectation of of four random variables

If $X$ is $\mathcal G$-measurable and $Y$ is independent of $\mathcal G$, then $\text E[XY\mid\mathcal F]=\text E[Y]\text E[X\mid\mathcal F]$

Prove this inequality: $E[(\sum_i^n{X_i})^4] \leq n \times E[X_1^4] + 3 \times n^2 \times E[X_1^2]^2$

Difficult Expii Contest Question

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