List questions from bivariate-distributions

Published on 23 Sep 2021 - 10:56

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Guessing a function that maximises the variance?

Published on 21 Oct 2021 - 1:44

96

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Finding $P(X \leq a | Y = k)$ where $X\sim\operatorname{Exp}(\lambda)$ and $Y = [X]$ where $[\cdot]$ rounds up to the nearest integer.

Published on 21 Oct 2021 - 5:46

53

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Proof that $\mathbb{E}\bigl[1-\Phi(x_1 - \theta_1) \mid \theta_2 \leq x_2-σx_1+σθ_1\bigr]$ is increasing in $\sigma$

Published on 21 Oct 2021 - 13:50

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Finding the expected value of a bivariate gaussian distribution

Published on 30 Oct 2021 - 17:39

111

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Absolute value of expected value

Published on 30 Oct 2021 - 18:55

92

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Finding the probability of a bivariate joint random variable

Published on 30 Oct 2021 - 23:09

178

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Deriving the joint probability distribution of a transformed rv

Published on 31 Oct 2021 - 12:58

114

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Finding max of $var(a^TY)$.

Published on 24 Feb 2026 - 20:27

130

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Expectation of $|x^{2} - y^{2}|$ when $x$ and $y$ are bivariate normal

Published on 01 Nov 2021 - 13:39

221

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Does Covariance equal 0

Published on 02 Nov 2021 - 12:08

664

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Expected Value of X,Y from Covariance Matrix

Published on 24 Feb 2026 - 20:24

95

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Find marginal probability using bivariate normal

Published on 12 Nov 2021 - 22:23

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Given probability density $f(x, y)=12xy(1-y)$, find the joint density of $U=XY^2$ and $V=Y$ and the marginals

Published on 20 Nov 2021 - 17:27

38

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Solution to bivariate normally distributed problem

Published on 23 Nov 2021 - 22:17

List Question

Bivariate Normal Distribution and sub vector

Guessing a function that maximises the variance?

Finding $P(X \leq a | Y = k)$ where $X\sim\operatorname{Exp}(\lambda)$ and $Y = [X]$ where $[\cdot]$ rounds up to the nearest integer.

Proof that $\mathbb{E}\bigl[1-\Phi(x_1 - \theta_1) \mid \theta_2 \leq x_2-σx_1+σθ_1\bigr]$ is increasing in $\sigma$

Finding the expected value of a bivariate gaussian distribution

Absolute value of expected value

Finding the probability of a bivariate joint random variable

Deriving the joint probability distribution of a transformed rv

Finding max of $var(a^TY)$.

Expectation of $|x^{2} - y^{2}|$ when $x$ and $y$ are bivariate normal

Does Covariance equal 0

Expected Value of X,Y from Covariance Matrix

Find marginal probability using bivariate normal

Given probability density $f(x, y)=12xy(1-y)$, find the joint density of $U=XY^2$ and $V=Y$ and the marginals

Solution to bivariate normally distributed problem

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