List questions from empirical-processes

Published on 23 Feb 2026 - 8:03

69

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Lower-bound on $\mathbb E[\|A^{-1}x\|]$ when $A$ is a positive-definite matrix with eigenvalues in $[a,b]$ and $x=(x_1,\ldots,x_n)$ is iid Rademacher

Published on 23 Feb 2026 - 8:05

176

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Does the law of large numbers hold for covering numbers?

Published on 08 Apr 2026 - 23:50

108

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Bounding the uniform deviation of the empirical risk from the risk over a finite function class.

Published on 23 Feb 2026 - 8:03

42

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Does $E[\hat{F}_n(X_1) - F(X_1) \mid \cdots]\to 0$?

Published on 22 Mar 2026 - 9:40

179

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What is a Kolmogorov inequality, and why?

Published on 08 Apr 2026 - 22:13

238

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$P(X_{(n-k_n)}>X_1\mid X_1>u_n)=0$?

Published on 23 Feb 2026 - 8:02

136

Views

Concentration of empirical measure under Prokhorov distance

Published on 23 Feb 2026 - 8:03

69

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Bounding an integral involving tail probabilities

Published on 23 Feb 2026 - 8:00

281

Views

Discrete version of Dudley's inequalilty: Assuming set is finite wlog?

Published on 23 Feb 2026 - 8:03

119

Views

A generalization of the KMT theorem for empirical processes

Published on 23 Feb 2026 - 8:08

86

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How to understand random probability measure in context of concrete example?

Published on 08 Apr 2026 - 20:31

120

Views

Convergence of estimator defined by supremum over measurable sets

Published on 23 Feb 2026 - 8:01

58

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Is this sub-Gaussian random variable?

Published on 06 Apr 2026 - 5:46

126

Views

Convergence of non iid observations on the empirical distribution

Published on 23 Feb 2026 - 8:03

List Question

Proof check: Concentration of maximum of a certain empirical process

Lower-bound on $\mathbb E[\|A^{-1}x\|]$ when $A$ is a positive-definite matrix with eigenvalues in $[a,b]$ and $x=(x_1,\ldots,x_n)$ is iid Rademacher

Does the law of large numbers hold for covering numbers?

Bounding the uniform deviation of the empirical risk from the risk over a finite function class.

Does $E[\hat{F}_n(X_1) - F(X_1) \mid \cdots]\to 0$?

What is a Kolmogorov inequality, and why?

$P(X_{(n-k_n)}>X_1\mid X_1>u_n)=0$?

Concentration of empirical measure under Prokhorov distance

Bounding an integral involving tail probabilities

Discrete version of Dudley's inequalilty: Assuming set is finite wlog?

A generalization of the KMT theorem for empirical processes

How to understand random probability measure in context of concrete example?

Convergence of estimator defined by supremum over measurable sets

Is this sub-Gaussian random variable?

Convergence of non iid observations on the empirical distribution

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