Mathematics
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Tom
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question
3
Probability Theory by Klenke theorem 15.9. That a finite measure is characterized by its characteristic function. [closed]
Oct 31, 2022
question
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
question
2
$X$ is $\sigma(Y_{1}, ..., Y_{n})$-measurable iff $X = H(Y_{1}, ..., Y_{n})$ for some $H$ measurable
Dec 1, 2022
question
2
Confused about the Tower Property of expectations
Sep 1
question
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
question
1
Given bounds of n-th moments, how to bound the probability of a random variable's taking large values?
Nov 4, 2022
question
1
LHS is convergent iff RHS is convergent. Why? Achim Klenke Probability theorem 6.7
Nov 12, 2022
question
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
question
1
Are probability measures on $\mathbb{R}^{d}$ characterized by integrals of $C_{c}$ functions?
Dec 17, 2022
question
1
Is this form of Taylor's theorem correct? Güler's Foundations of Optimization theorem 1.3
Jan 12

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