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David Williams "Probability with Martingales" 6.1 : Definition of Expectation?

score 291 · Answer 1 · 2026-04-12 00:22:47

291

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David Williams "Probability with Martingales" 6.1 : Definition of Expectation?

Published on 12 Apr 2026 - 0:22

score 514 · Answer 2 · 2026-04-09 17:40:38

514

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How to calculate the expectation of the exponetial of stochastic process?

Published on 09 Apr 2026 - 17:40

score 114 · Answer 3 · 2026-04-03 16:13:41

114

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Given $X \in [2, 3]$, and $XY = 1$, solve the range of $E(X)E(Y)$?

Published on 03 Apr 2026 - 16:13

score 33 · Answer 4 · 2017-04-17 17:26:26

33

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Evaluate $\int\limits_{}^{}\frac{x (1-ax^2)^N}{(1/x^{\gamma}-t)^2}dx$

Published on 17 Apr 2017 - 17:26

score 493 · Answer 5 · 2026-04-11 17:59:01

493

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Show that monotone likelihood ratio property implies increasing ratio of moments

Published on 11 Apr 2026 - 17:59

score 43 · Answer 6 · 2026-04-12 01:40:44

43

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Is $\mathbb{E}[X|F]\leq \mathbb{E} [X |\mathcal{E}]\frac{\mathbb{P}(\mathcal{E})}{\mathbb{P}(\mathcal{F})}$ true?

Published on 12 Apr 2026 - 1:40

score 187 · Answer 7 · 2026-04-01 19:39:58

187

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Compute $\liminf\limits_{n\rightarrow \infty}\frac{|S_n|}{\sqrt{n}}$.

Published on 01 Apr 2026 - 19:39

score 90 · Answer 8 · 2017-04-19 09:18:43

90

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Expected value for the number of elements in difference of two subset

Published on 19 Apr 2017 - 9:18

score 49 · Answer 9 · 2017-04-19 13:56:51

49

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Name of theorem for $\mathbb{E}\left[ \sum_{n=1}^N X_n \right] = \mathbb{E}[N] \mathbb{E}[X_1]$

Published on 19 Apr 2017 - 13:56

score 1.1k · Answer 10 · 2026-03-25 19:25:14

1.1k

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Zero-mean random variable

Published on 25 Mar 2026 - 19:25

score 1.2k · Answer 11 · 2017-04-19 16:24:37

1.2k

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Published on 19 Apr 2017 - 16:24

score 329 · Answer 12 · 2026-04-12 00:14:56

329

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Stationary Excess Expectation Proof

Published on 12 Apr 2026 - 0:14

score 194 · Answer 13 · 2017-04-21 08:10:51

194

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expected value for the number of elements in difference of a random subset and a fixed subset

Published on 21 Apr 2017 - 8:10

score 2.9k · Answer 14 · 2026-04-12 04:41:38

2.9k

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Expectation value of random length sum

Published on 12 Apr 2026 - 4:41

score 69 · Answer 15 · 2026-04-12 10:24:42

69

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How to solve $E[(W_tW_t+s)^2] $

Published on 12 Apr 2026 - 10:24

List Question

David Williams "Probability with Martingales" 6.1 : Definition of Expectation?

How to calculate the expectation of the exponetial of stochastic process?

Given $X \in [2, 3]$, and $XY = 1$, solve the range of $E(X)E(Y)$?

Evaluate $\int\limits_{}^{}\frac{x (1-ax^2)^N}{(1/x^{\gamma}-t)^2}dx$

Show that monotone likelihood ratio property implies increasing ratio of moments

Is $\mathbb{E}[X|F]\leq \mathbb{E} [X |\mathcal{E}]\frac{\mathbb{P}(\mathcal{E})}{\mathbb{P}(\mathcal{F})}$ true?

Compute $\liminf\limits_{n\rightarrow \infty}\frac{|S_n|}{\sqrt{n}}$.

Expected value for the number of elements in difference of two subset

Name of theorem for $\mathbb{E}\left[ \sum_{n=1}^N X_n \right] = \mathbb{E}[N] \mathbb{E}[X_1]$

Zero-mean random variable

Intuitive meaning of $E(X^2)$ and $E(X+a)$?

Stationary Excess Expectation Proof

expected value for the number of elements in difference of a random subset and a fixed subset

Expectation value of random length sum

How to solve $E[(W_tW_t+s)^2] $

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