List questions from probability-limit-theorems

Published on 22 Mar 2026 - 0:49

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How many tickets can be sold so that all punctual passengers get a seat?

Published on 21 Mar 2026 - 22:46

134

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On the pointwise limit of a sequence of probability generating functions, assuming this limit exists on [0,1].

Published on 22 Mar 2026 - 2:27

64

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Why is the gaussian part of this Bernstein-type inequality not trivial?

Published on 25 Mar 2026 - 1:38

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Limit of V-statistics with asymmetric kernel

Published on 21 Mar 2026 - 17:22

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Limiting distribution of $\frac1n \sum_{k=1}^{n}|S_{k-1}|(X_k^2 - 1)$ where $X_k$ are i.i.d standard normal

Published on 21 Mar 2026 - 19:25

216

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L'hopitals rule applied on probability density functions

Published on 21 Mar 2026 - 21:25

301

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Why are variance and expected value all we care about?

Published on 21 Mar 2026 - 16:29

64

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Convergence in probability measure

Published on 22 Mar 2026 - 2:58

352

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Convergence of series of normally distributed random variables

Published on 22 Mar 2026 - 1:56

211

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Enhanced Berry-Esseen theorem for the digits of $\sqrt{2}$

Published on 21 Mar 2026 - 18:16

139

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What is the asymptotic order of $\frac{1}{N}\sum_i\left(\frac{\sum_t \epsilon_{it}}{\sqrt{T}} \right)^3$?

Published on 21 Mar 2026 - 16:28

82

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Exercise 1.1.27 in Tao's Topics in Random Matrices (moments and convergence)

Published on 21 Mar 2026 - 16:48

199

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Does convergence in distribution imply anything about the KL divergence?

Published on 22 Mar 2026 - 14:56

157

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Convergence and uniform convergence of pmf

Published on 22 Mar 2026 - 12:04

List Question

Extension of Continuous Mapping Theorem for Bounded in Probability

How many tickets can be sold so that all punctual passengers get a seat?

On the pointwise limit of a sequence of probability generating functions, assuming this limit exists on [0,1].

Why is the gaussian part of this Bernstein-type inequality not trivial?

Limit of V-statistics with asymmetric kernel

Limiting distribution of $\frac1n \sum_{k=1}^{n}|S_{k-1}|(X_k^2 - 1)$ where $X_k$ are i.i.d standard normal

L'hopitals rule applied on probability density functions

Why are variance and expected value all we care about?

Convergence in probability measure

Convergence of series of normally distributed random variables

Enhanced Berry-Esseen theorem for the digits of $\sqrt{2}$

What is the asymptotic order of $\frac{1}{N}\sum_i\left(\frac{\sum_t \epsilon_{it}}{\sqrt{T}} \right)^3$?

Exercise 1.1.27 in Tao's Topics in Random Matrices (moments and convergence)

Does convergence in distribution imply anything about the KL divergence?

Convergence and uniform convergence of pmf

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