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On the Definition of Large Deviation Principles

score 84 · Answer 1 · 2021-06-16 11:49:40

84

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On the Definition of Large Deviation Principles

Published on 16 Jun 2021 - 11:49

score 73 · Answer 2 · 2026-03-25 12:17:53

73

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Approximating $\tau(x)$ from $x=|\tau(x)|^{1/\beta-1}(\beta-1)^{1/\beta}\frac{\pi/\beta}{\sin(\pi/\beta)}-|\tau(x)|^{-1}+o(|\tau(x)|^{-1})$

Published on 25 Mar 2026 - 12:17

score 36 · Answer 3 · 2021-07-20 20:18:33

36

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How to calculate large deviations for functions of vectors on the n-sphere with delta functions?

Published on 20 Jul 2021 - 20:18

score 30 · Answer 4 · 2021-08-04 03:18:32

30

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Prove a conclusion of LDP: $\frac{1}{n}\log P(|\hat{S}_n|\geq\delta)\xrightarrow{n\xrightarrow{}\infty}-\frac{\delta^2}{2}$

Published on 04 Aug 2021 - 3:18

score 422 · Answer 5 · 2021-08-09 13:25:29

422

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Concentration inequality for Lipschitz Function

Published on 09 Aug 2021 - 13:25

score 257 · Answer 6 · 2021-09-07 08:25:31

257

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Cramers theorem for large deviations

Published on 07 Sep 2021 - 8:25

score 29 · Answer 7 · 2021-10-05 18:06:56

29

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Large deviation rate function for the upper tale of subgraphs count in Erdos-Renyi graphs

Published on 05 Oct 2021 - 18:06

score 124 · Answer 8 · 2026-03-25 18:52:13

124

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Surface order large deviation in Ising ferromagnet

Published on 25 Mar 2026 - 18:52

score 72 · Answer 9 · 2021-10-24 08:09:27

72

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large deviation, contraction principle

Published on 24 Oct 2021 - 8:09

score 132 · Answer 10 · 2026-02-23 23:50:15

132

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Show that h is lower semicontinuous

Published on 23 Feb 2026 - 23:50

score 57 · Answer 11 · 2021-12-24 01:07:22

57

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Upper bound the probability that the maximum of i.i.d. r.v.'s (e.g. busy periods) exceeding a threshold

Published on 24 Dec 2021 - 1:07

score 96 · Answer 12 · 2026-03-25 15:41:17

96

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Expectation and variance of homomorphism density into Erdős–Rényi

Published on 25 Mar 2026 - 15:41

score 63 · Answer 13 · 2022-03-14 18:53:08

63

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Saddle point method and radius of convergence

Published on 14 Mar 2022 - 18:53

score 112 · Answer 14 · 2022-04-21 12:35:18

112

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How well is a binomial distribution with $N=100,000$ approximated by a normal distribution?

Published on 21 Apr 2022 - 12:35

score 262 · Answer 15 · 2022-05-09 09:34:59

262

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Can we control the distance between the empirical and theoretical mean on the whole trajectory any better than using Hoeffding and a union bound?

Published on 09 May 2022 - 9:34

List Question

On the Definition of Large Deviation Principles

Approximating $\tau(x)$ from $x=|\tau(x)|^{1/\beta-1}(\beta-1)^{1/\beta}\frac{\pi/\beta}{\sin(\pi/\beta)}-|\tau(x)|^{-1}+o(|\tau(x)|^{-1})$

How to calculate large deviations for functions of vectors on the n-sphere with delta functions?

Prove a conclusion of LDP: $\frac{1}{n}\log P(|\hat{S}_n|\geq\delta)\xrightarrow{n\xrightarrow{}\infty}-\frac{\delta^2}{2}$

Concentration inequality for Lipschitz Function

Cramers theorem for large deviations

Large deviation rate function for the upper tale of subgraphs count in Erdos-Renyi graphs

Surface order large deviation in Ising ferromagnet

large deviation, contraction principle

Show that h is lower semicontinuous

Upper bound the probability that the maximum of i.i.d. r.v.'s (e.g. busy periods) exceeding a threshold

Expectation and variance of homomorphism density into Erdős–Rényi

Saddle point method and radius of convergence

How well is a binomial distribution with $N=100,000$ approximated by a normal distribution?

Can we control the distance between the empirical and theoretical mean on the whole trajectory any better than using Hoeffding and a union bound?

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