Question

Help with evaluating $E[XX^T]$

score 229 · Answer 1 · 2017-04-05 09:26:56

229

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Help with evaluating $E[XX^T]$

Published on 05 Apr 2017 - 9:26

score 64 · Answer 2 · 2026-03-27 14:56:47

64

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Find $\mathbb E(\tau)$ where $\tau=\operatorname{min}[t>1:X_{n+t}>\operatorname{max}[X_1,...,X_n]]$

Published on 27 Mar 2026 - 14:56

score 75 · Answer 3 · 2017-04-05 18:38:10

75

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Open subset condition is necessary or just sufficient for the differentiation under integral sign theorem

Published on 05 Apr 2017 - 18:38

score 479 · Answer 4 · 2017-04-05 21:55:27

479

Views

Computing the expectation of $X^n e^{-\lambda X}$

Published on 05 Apr 2017 - 21:55

score 45 · Answer 5 · 2017-04-06 09:43:31

45

Views

Finding $E[X]$ of $X~Geom(p)$ through $E[X|toss1]$ - why $E[X+1]$ and not $E[X-1]$?

Published on 06 Apr 2017 - 9:43

score 135 · Answer 6 · 2026-04-01 03:09:58

135

Views

Finding $\text{E}(f(x))$,$\text{Var}(f(x))$ and the PDF of $f(x)$

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score 335 · Answer 7 · 2017-04-07 14:19:08

335

Views

Property similar to tower property for conditional expectations

Published on 07 Apr 2017 - 14:19

score 94 · Answer 8 · 2026-03-25 17:37:59

94

Views

Difference of expectations is integral of certain probabilities

Published on 25 Mar 2026 - 17:37

score 369 · Answer 9 · 2026-03-29 22:31:47

369

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Prove that there exists $x \in \mathbb{R}^n$ such that $(Ax, x) > 0$ and $(Bx, x) < 0$

Published on 29 Mar 2026 - 22:31

score 999 · Answer 10 · 2015-01-03 10:09:55

999

Views

Suppose variance of X is finite, how to show X is square-integrable

Published on 03 Jan 2015 - 10:09

score 304 · Answer 11 · 2015-01-04 09:13:35

304

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Maximizing expected value when distribution is binomial

Published on 04 Jan 2015 - 9:13

score 2.2k · Answer 12 · 2026-03-26 12:35:05

2.2k

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Convergence in $L^1$ and uniform integrability

Published on 26 Mar 2026 - 12:35

score 215 · Answer 13 · 2026-03-28 11:52:09

215

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Prove P$(\sup_{n\in\mathbb N}|\sum_{k=1}^{n}X_k|<\infty)>0 \iff$ P$(\sum_{k=1}^{\infty}X_k$ exists in $\mathbb R)=1$

Published on 28 Mar 2026 - 11:52

score 209 · Answer 14 · 2015-01-05 17:57:40

209

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Question about a theorem of david williams:probability with martingales

Published on 05 Jan 2015 - 17:57

score 303 · Answer 15 · 2026-03-28 10:04:28

303

Views

Random signs - a remark of david williams:probability with martingales

Published on 28 Mar 2026 - 10:04

List Question

Help with evaluating $E[XX^T]$

Find $\mathbb E(\tau)$ where $\tau=\operatorname{min}[t>1:X_{n+t}>\operatorname{max}[X_1,...,X_n]]$

Open subset condition is necessary or just sufficient for the differentiation under integral sign theorem

Computing the expectation of $X^n e^{-\lambda X}$

Finding $E[X]$ of $X~Geom(p)$ through $E[X|toss1]$ - why $E[X+1]$ and not $E[X-1]$?

Finding $\text{E}(f(x))$,$\text{Var}(f(x))$ and the PDF of $f(x)$

Property similar to tower property for conditional expectations

Difference of expectations is integral of certain probabilities

Prove that there exists $x \in \mathbb{R}^n$ such that $(Ax, x) > 0$ and $(Bx, x) < 0$

Suppose variance of X is finite, how to show X is square-integrable

Maximizing expected value when distribution is binomial

Convergence in $L^1$ and uniform integrability

Prove P$(\sup_{n\in\mathbb N}|\sum_{k=1}^{n}X_k|<\infty)>0 \iff$ P$(\sum_{k=1}^{\infty}X_k$ exists in $\mathbb R)=1$

Question about a theorem of david williams:probability with martingales

Random signs - a remark of david williams:probability with martingales

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