Question

Given is $2$ dimensional random variable $(X,Y)$ with table. Determine the correlation between $X$ and $Y$

score 123 · Answer 1 · 2026-03-22 11:51:09

123

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Given is $2$ dimensional random variable $(X,Y)$ with table. Determine the correlation between $X$ and $Y$

Published on 22 Mar 2026 - 11:51

score 84 · Answer 2 · 2026-03-22 14:31:09

84

Views

Statistics based on empirical distribution

Published on 22 Mar 2026 - 14:31

score 276 · Answer 3 · 2026-03-24 02:26:43

276

Views

Given $U,V \sim R(0,1)$. Determine covariance between $X = UV$ and $V$

Published on 24 Mar 2026 - 2:26

score 95 · Answer 4 · 2026-03-22 10:00:26

95

Views

Comparing Exponentials of different rates

Published on 22 Mar 2026 - 10:00

score 190 · Answer 5 · 2026-03-19 17:07:23

190

Views

Linear transform of jointly distributed exponential random variables, how to identify domain?

Published on 19 Mar 2026 - 17:07

score 94 · Answer 6 · 2026-03-21 18:08:54

94

Views

Closed form of integration

Published on 21 Mar 2026 - 18:08

score 146 · Answer 7 · 2026-03-22 16:48:39

146

Views

Given $X$ Poisson, and $f_{Y}(y\mid X = x)$, find $\mathbb{E}[X\mid Y]$

Published on 22 Mar 2026 - 16:48

score 74 · Answer 8 · 2026-03-18 16:52:10

74

Views

weak limit similiar to central limit theorem

Published on 18 Mar 2026 - 16:52

score 63 · Answer 9 · 2026-03-18 04:49:03

63

Views

Probability question: two doors, select the correct door to win money, find expected earning

Published on 18 Mar 2026 - 4:49

score 53 · Answer 10 · 2026-03-22 11:48:08

53

Views

Calculating $\text{Pr}(X_1<X_2)$

Published on 22 Mar 2026 - 11:48

score 13k · Answer 11 · 2026-03-22 12:16:56

13k

Views

KL divergence between two multivariate Bernoulli distribution

Published on 22 Mar 2026 - 12:16

score 669 · Answer 12 · 2026-03-20 08:40:53

669

Views

Obtain the conditional distributions from the full posterior distribution

Published on 20 Mar 2026 - 8:40

score 127 · Answer 13 · 2026-03-17 17:57:35

127

Views

Given random variables $(T_1,T_2)$. Show that $T_1$ and $T_2$ are independent and exponentially distributed if..

Published on 17 Mar 2026 - 17:57

score 341 · Answer 14 · 2026-03-24 11:56:40

341

Views

Why has $\sup_{s \in (0,t)} B_s$ the same distribution as $\sup_{s \in (0,t)} B_s-B_t$ for a Brownian motion $(B_t)_{t \geq 0}$?

Published on 24 Mar 2026 - 11:56

score 133 · Answer 15 · 2026-03-22 01:59:52

133

Views

How to prove mutually independence?

Published on 22 Mar 2026 - 1:59

List Question

Given is $2$ dimensional random variable $(X,Y)$ with table. Determine the correlation between $X$ and $Y$

Statistics based on empirical distribution

Given $U,V \sim R(0,1)$. Determine covariance between $X = UV$ and $V$

Comparing Exponentials of different rates

Linear transform of jointly distributed exponential random variables, how to identify domain?

Closed form of integration

Given $X$ Poisson, and $f_{Y}(y\mid X = x)$, find $\mathbb{E}[X\mid Y]$

weak limit similiar to central limit theorem

Probability question: two doors, select the correct door to win money, find expected earning

Calculating $\text{Pr}(X_1<X_2)$

KL divergence between two multivariate Bernoulli distribution

Obtain the conditional distributions from the full posterior distribution

Given random variables $(T_1,T_2)$. Show that $T_1$ and $T_2$ are independent and exponentially distributed if..

Why has $\sup_{s \in (0,t)} B_s$ the same distribution as $\sup_{s \in (0,t)} B_s-B_t$ for a Brownian motion $(B_t)_{t \geq 0}$?

How to prove mutually independence?

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