User Tom - Mathematics Stack Exchange

Tom

Member for 2 years, 1 month
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Nov 29, 2022
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Nov 16, 2022

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random-variables

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All Questions Answers

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3

Probability Theory by Klenke theorem 15.9. That a finite measure is characterized by its characteristic function. [closed]

Oct 31, 2022

3

Weak convergence is defined in terms of $C_{b}$ functions, but for $\mathbb{R}^{d}$ why is it sufficient to show convergence for $C_{c}$ functions? [duplicate]

Dec 14, 2022

2

$X$ is $\sigma(Y_{1}, ..., Y_{n})$-measurable iff $X = H(Y_{1}, ..., Y_{n})$ for some $H$ measurable

Dec 1, 2022

2

Confused about the Tower Property of expectations

Sep 1

1

If two random variables have the same distribution, how to show after subtracting a common r.v., they still have the same distribution?

Nov 2, 2022

1

Given bounds of n-th moments, how to bound the probability of a random variable's taking large values?

Nov 4, 2022

1

LHS is convergent iff RHS is convergent. Why? Achim Klenke Probability theorem 6.7

Nov 12, 2022

1

$X, Y$ iid, If $(\frac{X+Y}{\sqrt{2}}, \frac{X-Y}{\sqrt{2}})$ has the same distribution as $(X, Y)$, then $X$ is a normal r.v.

Nov 27, 2022

1

Are probability measures on $\mathbb{R}^{d}$ characterized by integrals of $C_{c}$ functions?

Dec 17, 2022

1

Is this form of Taylor's theorem correct? Güler's Foundations of Optimization theorem 1.3

Jan 12