Question

measure theory: simple example, testing understanding of egoroff's theorem statement

score 47 · Answer 1 · 2023-11-08 22:50:36

47

Views

measure theory: simple example, testing understanding of egoroff's theorem statement

Published on 08 Nov 2023 - 22:50

score 19 · Answer 2 · 2023-11-11 14:52:04

19

Views

Uniform comvergence for sequence of simple measurable functions

Published on 11 Nov 2023 - 14:52

score 47 · Answer 3 · 2026-03-29 20:47:06

47

Views

Random Processes Invariant event

Published on 29 Mar 2026 - 20:47

score 49 · Answer 4 · 2023-11-13 02:14:06

49

Views

Counter-examples for almost everywhere equal stochastic processes that have different measurability

Published on 13 Nov 2023 - 2:14

score 189 · Answer 5 · 2023-11-14 14:33:52

189

Views

$\int_0^1 x^n f(x)\,\mathrm{d}x = 0$ for all $n$ implies $f=0$ almost everywhere

Published on 14 Nov 2023 - 14:33

score 80 · Answer 6 · 2026-03-26 12:37:15

80

Views

Why $\limsup_{t\rightarrow s} \frac{B_t-B_s}{f(t-s)}$ is not $\mathcal F_s$ measurable?

Published on 26 Mar 2026 - 12:37

score 37 · Answer 7 · 2026-03-29 04:26:25

37

Views

If $X \subset \mathbb{R}$ and $f:X \rightarrow \mathbb{R}$ the $X$is a Borel set because $X = f^{-1}(\mathbb{R})$

Published on 29 Mar 2026 - 4:26

score 69 · Answer 8 · 2026-03-25 06:05:23

69

Views

Show $f: X \rightarrow \mathbb R^n$ is measurable iff condition holds

Published on 25 Mar 2026 - 6:05

score 85 · Answer 9 · 2023-11-26 10:48:18

85

Views

Integral over some measure is the same as integrating over the measure of the preimages of some intervals

Published on 26 Nov 2023 - 10:48

score 18 · Answer 10 · 2026-03-19 21:59:18

18

Views

Measurability of Partial Integrals, for Conditional Expectation

Published on 19 Mar 2026 - 21:59

score 32 · Answer 11 · 2023-11-29 13:53:56

32

Views

Measurability of a two-argument function

Published on 29 Nov 2023 - 13:53

score 86 · Answer 12 · 2026-03-26 09:41:53

86

Views

If $\{f_n\}$ is uniformly integrable, then there's a subsequence $(f_{k_n})$ of $(f_n)$ such that $\big(\int _Ef_{k_n}d\mu \big)$ is a Cauchy sequence

Published on 26 Mar 2026 - 9:41

score 15 · Answer 13 · 2023-12-06 08:35:02

15

Views

Is there a name for functions $f$ such that $f\mu$ is a $\sigma$-finite measure?

Published on 06 Dec 2023 - 8:35

score 41 · Answer 14 · 2026-03-25 04:36:36

41

Views

Can we compare simple functions without looking at their values at specific points?

Published on 25 Mar 2026 - 4:36

score 46 · Answer 15 · 2023-12-10 17:47:27

46

Views

Measurabilty of a function

Published on 10 Dec 2023 - 17:47

List Question

measure theory: simple example, testing understanding of egoroff's theorem statement

Uniform comvergence for sequence of simple measurable functions

Random Processes Invariant event

Counter-examples for almost everywhere equal stochastic processes that have different measurability

$\int_0^1 x^n f(x)\,\mathrm{d}x = 0$ for all $n$ implies $f=0$ almost everywhere

Why $\limsup_{t\rightarrow s} \frac{B_t-B_s}{f(t-s)}$ is not $\mathcal F_s$ measurable?

If $X \subset \mathbb{R}$ and $f:X \rightarrow \mathbb{R}$ the $X$is a Borel set because $X = f^{-1}(\mathbb{R})$

Show $f: X \rightarrow \mathbb R^n$ is measurable iff condition holds

Integral over some measure is the same as integrating over the measure of the preimages of some intervals

Measurability of Partial Integrals, for Conditional Expectation

Measurability of a two-argument function

If $\{f_n\}$ is uniformly integrable, then there's a subsequence $(f_{k_n})$ of $(f_n)$ such that $\big(\int _Ef_{k_n}d\mu \big)$ is a Cauchy sequence

Is there a name for functions $f$ such that $f\mu$ is a $\sigma$-finite measure?

Can we compare simple functions without looking at their values at specific points?

Measurabilty of a function

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