List questions from measurable-functions

Published on 03 Oct 2019 - 5:17

209

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Random variable measurable with respect to stopping time sigma-algebra

Published on 06 Oct 2019 - 6:31

131

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Measurability of a function on the product space

Published on 06 Oct 2019 - 7:36

214

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Why does measurable function need to be defined on a measurable domain?

Published on 08 Oct 2019 - 14:10

290

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Martingales and measurability

Published on 13 Oct 2019 - 20:57

50

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Sum of Measurable functions

Published on 25 Feb 2026 - 0:33

77

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Define a measure in the following way...

Published on 15 Oct 2019 - 22:16

78

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Proving two different sets are $\mathcal{F}$-measurable

Published on 17 Oct 2019 - 3:28

223

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$\mathcal{F}_\tau$-measurability of stopping time

Published on 17 Oct 2019 - 4:42

33

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If $(X,d)$ is a metric space, is $X^{m+1}\to\{1,...,m\}, (x,x_1,...,x_m)\mapsto\min(\operatorname{argmin}_{k\in\{1,...,m\}}d(x,x_k))$ measurable?

Published on 20 Oct 2019 - 7:58

858

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Measurability of extended real-valued functions

Published on 20 Oct 2019 - 18:48

106

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Modes of convergence and a.e equality with an indicator function.

Published on 21 Oct 2019 - 13:11

306

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sufficient condition for a function to be measurable

Published on 23 Oct 2019 - 1:42

43

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integrals of composition of functions

Published on 26 Oct 2019 - 23:32

28

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Measurability of function involving hitting time

Published on 29 Oct 2019 - 2:33

List Question

Give explicitly a real random variable X that generates $\mathcal{G} = \sigma(X)$.

Random variable measurable with respect to stopping time sigma-algebra

Measurability of a function on the product space

Why does measurable function need to be defined on a measurable domain?

Martingales and measurability

Sum of Measurable functions

Define a measure in the following way...

Proving two different sets are $\mathcal{F}$-measurable

$\mathcal{F}_\tau$-measurability of stopping time

If $(X,d)$ is a metric space, is $X^{m+1}\to\{1,...,m\}, (x,x_1,...,x_m)\mapsto\min(\operatorname{argmin}_{k\in\{1,...,m\}}d(x,x_k))$ measurable?

Measurability of extended real-valued functions

Modes of convergence and a.e equality with an indicator function.

sufficient condition for a function to be measurable

integrals of composition of functions

Measurability of function involving hitting time

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