Question

$X_1^2+X_2^2+X_3^2 = 1$, what is the range of correlation between $X_i, X_j$?

score 217 · Answer 1 · 2026-04-16 01:02:51

217

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$X_1^2+X_2^2+X_3^2 = 1$, what is the range of correlation between $X_i, X_j$?

Published on 16 Apr 2026 - 1:02

score 126 · Answer 2 · 2026-04-15 06:59:08

126

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score 77 · Answer 3 · 2026-04-10 07:08:39

77

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score 83 · Answer 4 · 2026-04-15 04:58:18

83

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score 174 · Answer 5 · 2026-04-10 02:50:33

174

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score 558 · Answer 6 · 2026-04-09 06:17:11

558

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score 57 · Answer 7 · 2026-04-17 11:21:37

57

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What are the values for $ \lim_{ n \to \infty } E[(\overline{X}_n)^2] $ and $ \lim_{ n \to \infty } V[(\overline{X}_n)^2] $?

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score 157 · Answer 8 · 2026-04-13 18:46:39

157

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score 296 · Answer 9 · 2026-04-14 11:27:42

296

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score 38 · Answer 10 · 2026-04-16 22:04:50

38

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prove the following is true: $E\Big[~\Big|E[X_n|F_n]\Big|~\Big] \le \Bigg|E\Big[~E[X | F_n \Big]~ \Bigg|$

Published on 16 Apr 2026 - 22:04

score 62 · Answer 11 · 2026-04-10 10:37:18

62

Views

What is "Expectation over $Y$" in the Law of Total Expectation

Published on 10 Apr 2026 - 10:37

score 45 · Answer 12 · 2026-04-16 13:22:07

45

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For two stochastic processes if $\Bbb E[|X(t)-Y(t)|^2]=0$ why does that imply $\Bbb P[X(t)=Y(t)]=1\ \forall t\in[0,T]$?

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score 81 · Answer 13 · 2026-04-11 20:57:02

81

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score 165 · Answer 14 · 2026-04-12 06:54:20

165

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score 509 · Answer 15 · 2026-04-15 13:40:51

509

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Conditional Expectation for random variable multiplied by indicator function

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List Question

$X_1^2+X_2^2+X_3^2 = 1$, what is the range of correlation between $X_i, X_j$?

Mean vs Median for Customer Valuation

What to do if partial integration yields $\infty-\infty$?

How do you calculate the expected value of $E\left\{e^{-|X|}\right\}$ e.g. for Gaussian X?

Proof of Expectation of Function of Random Variable

How to prove the Cauchy distribution has no moments?

What are the values for $ \lim_{ n \to \infty } E[(\overline{X}_n)^2] $ and $ \lim_{ n \to \infty } V[(\overline{X}_n)^2] $?

Showing that any of n balls drawn without replacement has the same probability of being a particular colour

Covariance between $X_i-\overline{X}$ and $\overline{X}$

prove the following is true: $E\Big[~\Big|E[X_n|F_n]\Big|~\Big] \le \Bigg|E\Big[~E[X | F_n \Big]~ \Bigg|$

What is "Expectation over $Y$" in the Law of Total Expectation

For two stochastic processes if $\Bbb E[|X(t)-Y(t)|^2]=0$ why does that imply $\Bbb P[X(t)=Y(t)]=1\ \forall t\in[0,T]$?

Minimum no of balls in the box.

Expected Matrix Product

Conditional Expectation for random variable multiplied by indicator function

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