List questions from concentration-of-measure

43

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Is there a relation between variance and range where we take iid random samples, does range goes to $0$ in probability means the same for for variance

Published on 25 Nov 2022 - 19:21

57

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An upper bound of the probability involving Bernoulli on the power

Published on 23 Feb 2026 - 19:22

81

Views

If I multiply a random variable with another bounded random variable will the concentration inequality change for the product or will it remain same?

Published on 08 Dec 2022 - 20:35

80

Views

Let $X$ be Poisson distributed and $\tau \in (0, 1)$. Are there upper bounds of $\min \{n \in \mathbb N : \mathbb P [X \ge n] \le \tau\}$?

Published on 12 Dec 2022 - 0:56

20

Views

If each random variable $X_i$ has a concentration then when does average of $X_i$, sampled iid, also concentrate?

Published on 12 Dec 2022 - 21:07

149

Views

How to prove that $\operatorname{Var}\left(X_i\right)$ is finite?

Published on 13 Dec 2022 - 14:27

50

Views

Is the Poincare inequality or the log-Sobolev inequality a sufficient condition to satisfy the isoperimetric inequality?

Published on 16 Dec 2022 - 20:27

238

Views

An upper bound on Gaussian mean width

Published on 08 Jan 2023 - 15:52

21

Views

Implications of Sublinear Relative Entropy in Product Spaces

Published on 10 Jan 2023 - 14:22

139

Views

Is McDiarmid's Inequality ever tight?

Published on 26 Mar 2026 - 9:48

List Question

Is there a relation between variance and range where we take iid random samples, does range goes to $0$ in probability means the same for for variance

An upper bound of the probability involving Bernoulli on the power

If I multiply a random variable with another bounded random variable will the concentration inequality change for the product or will it remain same?

Let $X$ be Poisson distributed and $\tau \in (0, 1)$. Are there upper bounds of $\min \{n \in \mathbb N : \mathbb P [X \ge n] \le \tau\}$?

If each random variable $X_i$ has a concentration then when does average of $X_i$, sampled iid, also concentrate?

How to prove that $\operatorname{Var}\left(X_i\right)$ is finite?

Is the Poincare inequality or the log-Sobolev inequality a sufficient condition to satisfy the isoperimetric inequality?

An upper bound on Gaussian mean width

Implications of Sublinear Relative Entropy in Product Spaces

Is McDiarmid's Inequality ever tight?

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