Question

Show that $E(logY|X) > log X$ implies $E(Y|X) > X$ using Jensen's inequality

score 60 · Answer 1 · 2026-04-01 05:47:19

60

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Show that $E(logY|X) > log X$ implies $E(Y|X) > X$ using Jensen's inequality

Published on 01 Apr 2026 - 5:47

score 42 · Answer 2 · 2019-10-29 18:39:21

42

Views

average uniform distribution

Published on 29 Oct 2019 - 18:39

score 110 · Answer 3 · 2019-10-29 22:14:08

110

Views

Expectation of ratio of two distributions is the ration of the expectations

Published on 29 Oct 2019 - 22:14

score 329 · Answer 4 · 2019-10-30 00:53:24

329

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A fair coin is tossed 50 times. The outcomes are written in order, producing a 50-letter “word” consisting of the letters H and T.

Published on 30 Oct 2019 - 0:53

score 226 · Answer 5 · 2026-04-01 05:48:15

226

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Conditional Expectation of A respect to A+B

Published on 01 Apr 2026 - 5:48

score 66 · Answer 6 · 2026-03-29 12:12:21

66

Views

Use inequality to bound an expectation

Published on 29 Mar 2026 - 12:12

score 81 · Answer 7 · 2026-03-25 12:51:08

81

Views

Does $\mathbb{E}e^X=e^{\mathbb{E}X}$?

Published on 25 Mar 2026 - 12:51

score 47 · Answer 8 · 2019-10-31 10:00:36

47

Views

Differential equation $y'(t) + \frac{1}{t-g(t)}y(t) = 0$

Published on 31 Oct 2019 - 10:00

score 1k · Answer 9 · 2026-03-26 11:22:17

1k

Views

expected operator norm of random symmetric matrices

Published on 26 Mar 2026 - 11:22

score 24 · Answer 10 · 2026-03-28 18:12:47

24

Views

got stuck in recursive relation

Published on 28 Mar 2026 - 18:12

score 19 · Answer 11 · 2019-10-31 13:27:32

19

Views

$\mathbb{E}|Z_{p_i}-1|\to 0 \implies \mathbb{E}|Z_{p}-1|\to 0$

Published on 31 Oct 2019 - 13:27

score 29 · Answer 12 · 2026-03-28 22:13:42

29

Views

Calculate the constants a and b and then the probability (0.2<X) {see attached picture}

Published on 28 Mar 2026 - 22:13

score 71 · Answer 13 · 2019-10-31 18:39:33

71

Views

Show that the expected value of a random variable that admits symmetric distribution is $0$.

Published on 31 Oct 2019 - 18:39

score 37 · Answer 14 · 2019-10-31 19:29:58

37

Views

How does $\mathbb{E}X_{1}^{2}\mathbb{1}_{|X_{1}|\leq c}=\int_{0}^{c}2x\left[\mathbb{P}(|X_{1}|>x)-\mathbb{P}(|X_{1}|>c)\right]dx$?

Published on 31 Oct 2019 - 19:29

score 360 · Answer 15 · 2019-11-01 01:32:41

360

Views

What is the value of a bet that pays zero if Albert loses overall and pays his winnings if he wins?

Published on 01 Nov 2019 - 1:32

List Question

Show that $E(logY|X) > log X$ implies $E(Y|X) > X$ using Jensen's inequality

average uniform distribution

Expectation of ratio of two distributions is the ration of the expectations

A fair coin is tossed 50 times. The outcomes are written in order, producing a 50-letter “word” consisting of the letters H and T.

Conditional Expectation of A respect to A+B

Use inequality to bound an expectation

Does $\mathbb{E}e^X=e^{\mathbb{E}X}$?

Differential equation $y'(t) + \frac{1}{t-g(t)}y(t) = 0$

expected operator norm of random symmetric matrices

got stuck in recursive relation

$\mathbb{E}|Z_{p_i}-1|\to 0 \implies \mathbb{E}|Z_{p}-1|\to 0$

Calculate the constants a and b and then the probability (0.2<X) {see attached picture}

Show that the expected value of a random variable that admits symmetric distribution is $0$.

How does $\mathbb{E}X_{1}^{2}\mathbb{1}_{|X_{1}|\leq c}=\int_{0}^{c}2x\left[\mathbb{P}(|X_{1}|>x)-\mathbb{P}(|X_{1}|>c)\right]dx$?

What is the value of a bet that pays zero if Albert loses overall and pays his winnings if he wins?

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