Question

Prove that $\exists G(x_1), H(x_2)$ such that the joint cdf $F_{(X_1,X_2)}(x_1,x_2)=G(x_1)H(x_2)$

score 23 · Answer 1 · 2026-04-17 14:36:17

23

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Prove that $\exists G(x_1), H(x_2)$ such that the joint cdf $F_{(X_1,X_2)}(x_1,x_2)=G(x_1)H(x_2)$

Published on 17 Apr 2026 - 14:36

score 81 · Answer 2 · 2026-04-16 18:55:19

81

Views

Proving space is banach

Published on 16 Apr 2026 - 18:55

score 229 · Answer 3 · 2026-03-26 02:58:29

229

Views

If $P \ll Q$, are the regular conditional probabilities a.s. absolutely continuous?

Published on 26 Mar 2026 - 2:58

score 36 · Answer 4 · 2026-04-15 18:32:41

36

Views

Show that if $f \in L^p$, then so is $T_x(f)$ for any $x ∈ \Bbb R$

Published on 15 Apr 2026 - 18:32

score 68 · Answer 5 · 2026-04-13 20:45:39

68

Views

Does $\mathbb P\{X\in A, Y\in B\}$ mean $\mathbb P(\{X\in A\}\cap \{Y\in B\})$?

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score 22 · Answer 6 · 2026-04-12 05:01:18

22

Views

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score 194 · Answer 7 · 2026-04-15 12:00:01

194

Views

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score 104 · Answer 8 · 2026-04-14 03:16:38

104

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score 435 · Answer 9 · 2026-03-25 03:00:59

435

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313

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score 199 · Answer 11 · 2026-04-13 18:04:17

199

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score 507 · Answer 12 · 2026-04-15 11:18:13

507

Views

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Published on 15 Apr 2026 - 11:18

score 392 · Answer 13 · 2026-04-08 20:58:28

392

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score 253 · Answer 14 · 2026-04-12 08:53:29

253

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score 156 · Answer 15 · 2026-04-11 21:43:27

156

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List Question

Prove that $\exists G(x_1), H(x_2)$ such that the joint cdf $F_{(X_1,X_2)}(x_1,x_2)=G(x_1)H(x_2)$

Proving space is banach

If $P \ll Q$, are the regular conditional probabilities a.s. absolutely continuous?

Show that if $f \in L^p$, then so is $T_x(f)$ for any $x ∈ \Bbb R$

Does $\mathbb P\{X\in A, Y\in B\}$ mean $\mathbb P(\{X\in A\}\cap \{Y\in B\})$?

Limit points of $ \alpha $ -normalized prime gaps

What functions are equal to a measurable function except on a set of measure epsilon?

Mapping of Function is Borel Measurable

A measure for which Lusin's theorem fails?

Sigma algebra Generated by Product of Lebesgue measures

Does the set of zeros of an absolutely continuous function contain an open interval?

Showing a product of two Lebesgue integrals is $\geq 1$ if the product of the integrands is $\geq 1$

Does the set of accumelation points of a positive measure set has a positive measure?

Campbell Theorem for $n$-th moment

Breaking down generalized Fatou's Lemma into steps

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