Question

Central Limit Theorem: $ \mathbb{E}\left|\frac{1}{N} \sum_{i=1}^{N} X_i - \mu\right| = O\left(\frac{1}{\sqrt{N}}\right)$

score 459 · Answer 1 · 2026-03-29 12:05:14

459

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Central Limit Theorem: $ \mathbb{E}\left|\frac{1}{N} \sum_{i=1}^{N} X_i - \mu\right| = O\left(\frac{1}{\sqrt{N}}\right)$

Published on 29 Mar 2026 - 12:05

score 103 · Answer 2 · 2019-10-06 04:13:25

103

Views

Expected Optimism 0-1 Loss with 0-1 Response

Published on 06 Oct 2019 - 4:13

score 137 · Answer 3 · 2026-03-27 04:21:52

137

Views

Expected number of times a black ball is taken immediately after a white ball

Published on 27 Mar 2026 - 4:21

score 109 · Answer 4 · 2019-10-06 15:12:41

109

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Brilliant.org Random Variables & Distributions Quizz 2

Published on 06 Oct 2019 - 15:12

score 996 · Answer 5 · 2026-03-22 10:24:22

996

Views

Polya urn - Computation of an expectation

Published on 22 Mar 2026 - 10:24

score 168 · Answer 6 · 2019-10-07 06:08:06

168

Views

Show the following relation: $\mathbb{E}[X^{q}\mathrm{1}_{\{X>a\}}]=a^{q}P(X>a)+q\int_{a}^{\infty}P(X>x)x^{q-1}dx $

Published on 07 Oct 2019 - 6:08

score 56 · Answer 7 · 2019-10-07 13:36:07

56

Views

$X_n = X \land n$ is square integrable

Published on 07 Oct 2019 - 13:36

score 102 · Answer 8 · 2019-10-07 15:18:11

102

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Find conditional expectation from two independent random variables

Published on 07 Oct 2019 - 15:18

score 682 · Answer 9 · 2026-03-27 17:40:36

682

Views

Fly and Spider random walk

Published on 27 Mar 2026 - 17:40

score 432 · Answer 10 · 2026-03-28 03:53:00

432

Views

Expected Number of rolls of 1 before first 6 is rolled

Published on 28 Mar 2026 - 3:53

score 168 · Answer 11 · 2026-03-28 12:33:32

168

Views

Calculating the expected value of the amount of same numbers chosen by two people.

Published on 28 Mar 2026 - 12:33

score 280 · Answer 12 · 2026-03-26 10:58:22

280

Views

MA(1) time series covariance

Published on 26 Mar 2026 - 10:58

score 79 · Answer 13 · 2019-10-08 23:42:16

79

Views

Expectation of positive random vector?

Published on 08 Oct 2019 - 23:42

score 38 · Answer 14 · 2019-10-09 13:36:42

38

Views

Find the expectation were X’s are independent $E(4/(X_1+X_2+X_3+X_4))$.

Published on 09 Oct 2019 - 13:36

score 94 · Answer 15 · 2026-03-28 12:34:08

94

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Measure Theory - Expectation and Independence

Published on 28 Mar 2026 - 12:34

List Question

Central Limit Theorem: $ \mathbb{E}\left|\frac{1}{N} \sum_{i=1}^{N} X_i - \mu\right| = O\left(\frac{1}{\sqrt{N}}\right)$

Expected Optimism 0-1 Loss with 0-1 Response

Expected number of times a black ball is taken immediately after a white ball

Brilliant.org Random Variables & Distributions Quizz 2

Polya urn - Computation of an expectation

Show the following relation: $\mathbb{E}[X^{q}\mathrm{1}_{\{X>a\}}]=a^{q}P(X>a)+q\int_{a}^{\infty}P(X>x)x^{q-1}dx $

$X_n = X \land n$ is square integrable

Find conditional expectation from two independent random variables

Fly and Spider random walk

Expected Number of rolls of 1 before first 6 is rolled

Calculating the expected value of the amount of same numbers chosen by two people.

MA(1) time series covariance

Expectation of positive random vector?

Find the expectation were X’s are independent $E(4/(X_1+X_2+X_3+X_4))$.

Measure Theory - Expectation and Independence

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