Question

$X_1,X_2$ independent gamma-distributed random variables. Density of $Y:=\frac{X_1}{X_1+X_2}$

score 174 · Answer 1 · 2026-04-16 15:30:59

174

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$X_1,X_2$ independent gamma-distributed random variables. Density of $Y:=\frac{X_1}{X_1+X_2}$

Published on 16 Apr 2026 - 15:30

score 79 · Answer 2 · 2026-04-14 07:37:33

79

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Equality of measures on $C([0,1])$, if integrals over functions continuous w.r.t. pointwise convergence coincide

Published on 14 Apr 2026 - 7:37

score 602 · Answer 3 · 2026-04-15 10:55:48

If $E$ is a Lebesgue measurable set in $\mathbb{R}$ with positive measure, the set $E-E = \{ x-y : x,y \in E \}$ is also measurable?

score 51 · Answer 4 · 2026-05-04 09:01:27

51

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Proof that equality of measures on the $\pi-$system implies equality on $\sigma$ - algebra generated by it

Published on 04 May 2026 - 9:01

score 60 · Answer 5 · 2026-04-15 17:57:35

60

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If $f_k \to f$ uniformly, then $J(f_k) \to J(f)$, where $J: \mathcal{C}_{\text{c}}(\mathbb{R}^d) \to \mathbb{R}$ ist linear and monotonous

Published on 15 Apr 2026 - 17:57

score 55 · Answer 6 · 2026-04-13 13:25:33

55

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Proving an increasing of a continuous function

Published on 13 Apr 2026 - 13:25

score 49 · Answer 7 · 2026-04-17 04:57:56

49

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When is ($\int_X g)^{1/p} \geq \int_{A} (g)^{1/p}$?

Published on 17 Apr 2026 - 4:57

score 99 · Answer 8 · 2026-04-12 10:53:26

99

Views

Can you prove Lusin's theorem without using approximation of $L_1$ functions?

Published on 12 Apr 2026 - 10:53

score 106 · Answer 9 · 2026-04-29 12:57:12

106

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Problem 4 Barry Simon a comprehensive course in analysis part 1.

Published on 29 Apr 2026 - 12:57

score 127 · Answer 10 · 2026-04-14 00:10:57

127

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Dual spaces of $\ell^2$ of an arbitrary normed space

Published on 14 Apr 2026 - 0:10

score 111 · Answer 11 · 2026-04-12 10:00:06

111

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Example from Bogachev's book on Extension of measure from algebra to $\sigma$-algebra

Published on 12 Apr 2026 - 10:00

score 37 · Answer 12 · 2026-04-16 02:03:35

Examples of measurable spaces and measurable functions other than $(\mathbb{R}^n, \mathcal{L}) \to (\mathbb{R}_{+}, \mathcal{B})$.

score 124 · Answer 13 · 2026-04-11 18:12:14

124

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Working with this 'almost everywhere' statement

Published on 11 Apr 2026 - 18:12

score 2.2k · Answer 14 · 2026-04-13 14:12:55

2.2k

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Why the product of measure is a tensor product?

Published on 13 Apr 2026 - 14:12

score 57 · Answer 15 · 2026-04-15 22:23:05

57

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Problem to understand the proof of $A_tB_t=A_0B_0+\int_0^t A_sdB_s+\int_0^t B_{s-}dA_s$

Published on 15 Apr 2026 - 22:23

List Question

$X_1,X_2$ independent gamma-distributed random variables. Density of $Y:=\frac{X_1}{X_1+X_2}$

Equality of measures on $C([0,1])$, if integrals over functions continuous w.r.t. pointwise convergence coincide

If $E$ is a Lebesgue measurable set in $\mathbb{R}$ with positive measure, the set $E-E = \{ x-y : x,y \in E \}$ is also measurable?

Proof that equality of measures on the $\pi-$system implies equality on $\sigma$ - algebra generated by it

If $f_k \to f$ uniformly, then $J(f_k) \to J(f)$, where $J: \mathcal{C}_{\text{c}}(\mathbb{R}^d) \to \mathbb{R}$ ist linear and monotonous

Proving an increasing of a continuous function

When is ($\int_X g)^{1/p} \geq \int_{A} (g)^{1/p}$?

Can you prove Lusin's theorem without using approximation of $L_1$ functions?

Problem 4 Barry Simon a comprehensive course in analysis part 1.

Dual spaces of $\ell^2$ of an arbitrary normed space

Example from Bogachev's book on Extension of measure from algebra to $\sigma$-algebra

Examples of measurable spaces and measurable functions other than $(\mathbb{R}^n, \mathcal{L}) \to (\mathbb{R}_{+}, \mathcal{B})$.

Working with this 'almost everywhere' statement

Why the product of measure is a tensor product?

Problem to understand the proof of $A_tB_t=A_0B_0+\int_0^t A_sdB_s+\int_0^t B_{s-}dA_s$

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