Question

Why is a rectangle $A \times B$ with $A \subset \mathcal{A}$, $B \in \mathcal{B}$ called a rectangle of $\mathcal{A} \times \mathcal{B}$?

score 45 · Answer 1 · 2021-08-07 18:57:08

45

Views

Why is a rectangle $A \times B$ with $A \subset \mathcal{A}$, $B \in \mathcal{B}$ called a rectangle of $\mathcal{A} \times \mathcal{B}$?

Published on 07 Aug 2021 - 18:57

score 14 · Answer 2 · 2021-10-02 07:22:23

14

Views

Inequality between $L^2$ norms

Published on 02 Oct 2021 - 7:22

score 335 · Answer 3 · 2021-12-17 16:01:33

335

Views

Folland: Why is the product measure well-defined?

Published on 17 Dec 2021 - 16:01

score 68 · Answer 4 · 2022-01-11 22:41:42

68

Views

How do I prove this statement about density in $[0,1]$?

Published on 11 Jan 2022 - 22:41

score 24 · Answer 5 · 2022-04-08 15:40:07

24

Views

Measurability and equality of functions on product measure space

Published on 08 Apr 2022 - 15:40

score 55 · Answer 6 · 2022-05-01 02:44:27

55

Views

Motivation behind definition of product measure.

Published on 01 May 2022 - 2:44

score 84 · Answer 7 · 2022-07-11 01:43:03

84

Views

Little confusion about Lebesgue's integral notation

Published on 11 Jul 2022 - 1:43

score 75 · Answer 8 · 2022-08-04 13:06:04

75

Views

Integrating with respect to marginal distribution

Published on 04 Aug 2022 - 13:06

score 44 · Answer 9 · 2022-09-13 17:34:05

44

Views

Question about product measure

Published on 13 Sep 2022 - 17:34

score 34 · Answer 10 · 2022-09-13 18:59:29

34

Views

How to prove the following equality in product measure

Published on 13 Sep 2022 - 18:59

score 97 · Answer 11 · 2022-09-21 18:39:22

97

Views

What is the "Natural" Product Measure on $\mathbf{R}^n$?

Published on 21 Sep 2022 - 18:39

score 21 · Answer 12 · 2022-10-01 04:45:29

21

Views

Construction of Higher Dimensional Product Measure: Directly and Inductively

Published on 01 Oct 2022 - 4:45

score 267 · Answer 13 · 2022-10-18 20:17:39

267

Views

Product of Lebesgue Measure is Lebesgue Measure of Products

Published on 18 Oct 2022 - 20:17

score 130 · Answer 14 · 2022-11-15 17:46:18

130

Views

Lipschitzness of $f$ on a high-probabilty subset from $\|f(X)-f(Y)\|\le \|X-Y\|$ with high probability for iid $(X,Y)$

Published on 15 Nov 2022 - 17:46

score 47 · Answer 15 · 2022-12-14 00:55:55

47

Views

Do the finite product probability measures converge to the infinite product probability measure?

Published on 14 Dec 2022 - 0:55

List Question

Why is a rectangle $A \times B$ with $A \subset \mathcal{A}$, $B \in \mathcal{B}$ called a rectangle of $\mathcal{A} \times \mathcal{B}$?

Inequality between $L^2$ norms

Folland: Why is the product measure well-defined?

How do I prove this statement about density in $[0,1]$?

Measurability and equality of functions on product measure space

Motivation behind definition of product measure.

Little confusion about Lebesgue's integral notation

Integrating with respect to marginal distribution

Question about product measure

How to prove the following equality in product measure

What is the "Natural" Product Measure on $\mathbf{R}^n$?

Construction of Higher Dimensional Product Measure: Directly and Inductively

Product of Lebesgue Measure is Lebesgue Measure of Products

Lipschitzness of $f$ on a high-probabilty subset from $\|f(X)-f(Y)\|\le \|X-Y\|$ with high probability for iid $(X,Y)$

Do the finite product probability measures converge to the infinite product probability measure?

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