List questions from product-measure

Published on 15 Apr 2026 - 16:24

74

Views

Confusions with Fubini’s Theorem

Published on 01 Apr 2026 - 18:35

33

Views

Show that there exists a unique measure $\pi$ on $\mathcal{B}[0,\infty)\otimes\mathcal{P}(\mathbb{N})$

Published on 16 Apr 2026 - 7:09

120

Views

Random variable greater than another random variable - measure theoretic argument?

Published on 13 Apr 2026 - 22:36

57

Views

A question of why these integrands can be taken out of the integrals.

Published on 15 Apr 2026 - 5:54

67

Views

Finding $E \in \mathcal A \otimes \mathcal B$ such that $E \neq E^y \times E_x,$ for some $x \in X, y \in Y.$

Published on 11 Apr 2026 - 17:50

773

Views

How can I prove a function on product space lebesgue measurable?

Published on 11 Apr 2026 - 6:50

693

Views

Folland Theorem 2.36: Why do we use Monotone Class Theorem?

Published on 09 Apr 2026 - 5:40

40

Views

Explicitly show that the product Lebesgue measure satisfies $m^1 \otimes m^1 = m^2$

Published on 16 Apr 2026 - 2:23

86

Views

Inequality of product measures

Published on 10 May 2026 - 22:56

496

Views

Cross section function of a lebesgue measurable set is lebesgue measurable?

Published on 12 Apr 2026 - 11:23

82

Views

Measuribility of Set

Published on 30 Apr 2026 - 9:12

96

Views

Difference of expectations is integral of certain probabilities

Published on 13 Apr 2026 - 17:56

82

Views

Domination for (finite) product measures equivalent to domination for marginals?

Published on 14 Apr 2026 - 14:19

48

Views

When is the product of Dirac delta distributions defined?

Published on 11 Apr 2026 - 19:04

List Question

Area under a curve proof using product measure

Confusions with Fubini’s Theorem

Show that there exists a unique measure $\pi$ on $\mathcal{B}[0,\infty)\otimes\mathcal{P}(\mathbb{N})$

Random variable greater than another random variable - measure theoretic argument?

A question of why these integrands can be taken out of the integrals.

Finding $E \in \mathcal A \otimes \mathcal B$ such that $E \neq E^y \times E_x,$ for some $x \in X, y \in Y.$

How can I prove a function on product space lebesgue measurable?

Folland Theorem 2.36: Why do we use Monotone Class Theorem?

Explicitly show that the product Lebesgue measure satisfies $m^1 \otimes m^1 = m^2$

Inequality of product measures

Cross section function of a lebesgue measurable set is lebesgue measurable?

Measuribility of Set

Difference of expectations is integral of certain probabilities

Domination for (finite) product measures equivalent to domination for marginals?

When is the product of Dirac delta distributions defined?

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