Question

If $Z=X\cdot Y$ then $E[X^k]= \lim_{n \to k} \frac{ E[Z^n]}{ E[Y^n]}$ if $E[X^k]<\infty$

score 145 · Answer 1 · 2026-04-16 03:35:35

145

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If $Z=X\cdot Y$ then $E[X^k]= \lim_{n \to k} \frac{ E[Z^n]}{ E[Y^n]}$ if $E[X^k]<\infty$

Published on 16 Apr 2026 - 3:35

score 59 · Answer 2 · 2026-04-12 09:20:49

59

Views

Showing a matrix is invertible.

Published on 12 Apr 2026 - 9:20

score 210 · Answer 3 · 2026-04-14 04:11:12

210

Views

Mutual convergence (divergence) of expectation with corresponding series

Published on 14 Apr 2026 - 4:11

score 48 · Answer 4 · 2026-04-14 16:19:01

48

Views

Is $\lim_{x\to 0^+}xf(x)=0$, if $X$ is a nonnegative random variable with $\mathbb EX^2<+\infty$?

Published on 14 Apr 2026 - 16:19

score 67 · Answer 5 · 2026-04-14 17:51:13

67

Views

How to know whether expectation will be finite or infinite

Published on 14 Apr 2026 - 17:51

score 527 · Answer 6 · 2026-04-10 16:19:43

527

Views

Expected value of joint density

Published on 10 Apr 2026 - 16:19

score 143 · Answer 7 · 2026-04-13 04:12:24

143

Views

How to formally calculate the Expected Value of this RV

Published on 13 Apr 2026 - 4:12

score 3k · Answer 8 · 2026-04-10 07:59:25

3k

Views

Using LOTUS to prove the statement

Published on 10 Apr 2026 - 7:59

score 78 · Answer 9 · 2026-04-10 22:51:32

78

Views

Expectation of Brownian Motions

Published on 10 Apr 2026 - 22:51

score 48 · Answer 10 · 2026-04-12 00:51:43

48

Views

Where to start summation from

Published on 12 Apr 2026 - 0:51

score 29 · Answer 11 · 2026-04-09 10:13:29

29

Views

How to calculate the squared term in variance formula

Published on 09 Apr 2026 - 10:13

score 462 · Answer 12 · 2026-04-16 02:50:09

462

Views

Is there a sequence ($X_n$) of random variables s.t. $\mathbb{E}(\liminf X_n) = 0$ and $\liminf \mathbb{E}(X_n) = 1$?

Published on 16 Apr 2026 - 2:50

score 102 · Answer 13 · 2026-04-17 23:17:53

Condition on $X$ in $(0,1)$ with $m=E(X)$ for $\lim\limits_{t\to1}(1-t)E\left[\frac{(X-m)^2}{(m+t(X-m))^2}\right]$ to exist and be finite

score 7.8k · Answer 14 · 2026-04-12 21:02:00

7.8k

Views

Expected number of heads in n coin tosses

Published on 12 Apr 2026 - 21:02

score 220 · Answer 15 · 2026-04-13 19:05:03

220

Views

Expectation of $Y = [X-2|X>2]$ where $X$ is an exponential random variable?

Published on 13 Apr 2026 - 19:05

List Question

If $Z=X\cdot Y$ then $E[X^k]= \lim_{n \to k} \frac{ E[Z^n]}{ E[Y^n]}$ if $E[X^k]<\infty$

Showing a matrix is invertible.

Mutual convergence (divergence) of expectation with corresponding series

Is $\lim_{x\to 0^+}xf(x)=0$, if $X$ is a nonnegative random variable with $\mathbb EX^2<+\infty$?

How to know whether expectation will be finite or infinite

Expected value of joint density

How to formally calculate the Expected Value of this RV

Using LOTUS to prove the statement

Expectation of Brownian Motions

Where to start summation from

How to calculate the squared term in variance formula

Is there a sequence ($X_n$) of random variables s.t. $\mathbb{E}(\liminf X_n) = 0$ and $\liminf \mathbb{E}(X_n) = 1$?

Condition on $X$ in $(0,1)$ with $m=E(X)$ for $\lim\limits_{t\to1}(1-t)E\left[\frac{(X-m)^2}{(m+t(X-m))^2}\right]$ to exist and be finite

Expected number of heads in n coin tosses

Expectation of $Y = [X-2|X>2]$ where $X$ is an exponential random variable?

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