Question

Find the distribution of the sum of two normal independent r.v. using specific theorem

score 38 · Answer 1 · 2016-10-01 16:39:07

38

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Find the distribution of the sum of two normal independent r.v. using specific theorem

Published on 01 Oct 2016 - 16:39

score 1.6k · Answer 2 · 2016-10-03 08:23:40

1.6k

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Show that the random variables $Y_1$ and $Y_2$ are independent

Published on 03 Oct 2016 - 8:23

score 190 · Answer 3 · 2016-10-03 17:33:25

190

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If $X$, $Y$ are i.i.d. with mean $m$ then $E((X-Y)\mathrm{sign}(X-m))>0$

Published on 03 Oct 2016 - 17:33

score 61 · Answer 4 · 2016-10-03 22:24:15

61

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$3$ independent events $ A, B, C $ what is the $P(AB\cup C)$?

Published on 03 Oct 2016 - 22:24

score 117 · Answer 5 · 2026-03-26 08:03:43

117

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$E|A_1|<\infty$ and i.o events for $\left\{A_n\right\}$ are iid

Published on 26 Mar 2026 - 8:03

score 121 · Answer 6 · 2026-03-26 12:53:10

121

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Eigenfunction independence of a finite system

Published on 26 Mar 2026 - 12:53

score 91 · Answer 7 · 2016-10-04 20:07:15

91

Views

Independence of random variables where probability = 1

Published on 04 Oct 2016 - 20:07

score 1.2k · Answer 8 · 2026-03-26 08:02:22

1.2k

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If $(X_n)$ is independent with $X_n$ Bernoulli of parameter $\frac1n$, how to show that $X_n$ doesn't converge almost surely to $0$?

Published on 26 Mar 2026 - 8:02

score 44 · Answer 9 · 2026-03-28 04:33:27

44

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Summed probability of two independent continuous random variables, limits

Published on 28 Mar 2026 - 4:33

score 183 · Answer 10 · 2016-10-05 20:45:06

183

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How to show that $E[S_N]=...$, if $X_i$'s are indep. in $S_N=X_1+...+X_N$

Published on 05 Oct 2016 - 20:45

score 473 · Answer 11 · 2026-03-29 05:11:31

473

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Two random variables uncorrelated to a third. And their product?

Published on 29 Mar 2026 - 5:11

score 372 · Answer 12 · 2016-10-06 18:16:54

372

Views

If $X$ is $\mathcal G$-measurable and $Y$ is independent of $\mathcal G$, then $\text E[XY\mid\mathcal F]=\text E[Y]\text E[X\mid\mathcal F]$

Published on 06 Oct 2016 - 18:16

score 407 · Answer 13 · 2016-10-07 07:40:36

407

Views

How does $\Omega$ space look for independent and mutually exclusive events?

Published on 07 Oct 2016 - 7:40

score 42 · Answer 14 · 2016-10-08 06:37:49

42

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$C$ is linearly independent implies $x_i\neq 0$ for all $i$.

Published on 08 Oct 2016 - 6:37

score 42 · Answer 15 · 2016-10-09 15:51:12

42

Views

Implications of conditional mean independence with respect to two random variables

Published on 09 Oct 2016 - 15:51

List Question

Find the distribution of the sum of two normal independent r.v. using specific theorem

Show that the random variables $Y_1$ and $Y_2$ are independent

If $X$, $Y$ are i.i.d. with mean $m$ then $E((X-Y)\mathrm{sign}(X-m))>0$

$3$ independent events $ A, B, C $ what is the $P(AB\cup C)$?

$E|A_1|<\infty$ and i.o events for $\left\{A_n\right\}$ are iid

Eigenfunction independence of a finite system

Independence of random variables where probability = 1

If $(X_n)$ is independent with $X_n$ Bernoulli of parameter $\frac1n$, how to show that $X_n$ doesn't converge almost surely to $0$?

Summed probability of two independent continuous random variables, limits

How to show that $E[S_N]=...$, if $X_i$'s are indep. in $S_N=X_1+...+X_N$

Two random variables uncorrelated to a third. And their product?

If $X$ is $\mathcal G$-measurable and $Y$ is independent of $\mathcal G$, then $\text E[XY\mid\mathcal F]=\text E[Y]\text E[X\mid\mathcal F]$

How does $\Omega$ space look for independent and mutually exclusive events?

$C$ is linearly independent implies $x_i\neq 0$ for all $i$.

Implications of conditional mean independence with respect to two random variables

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