Deviation probabilities for arithmetic progressions and irregular discrete structures-Reference-Cited by-同舟云学术

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Deviation probabilities for arithmetic progressions and irregular discrete structures

Published:2023-01-01 Issue:none Volume:28 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Griffiths Simon¹,Koch Christoph²,Secco Matheus³

Affiliation:

1. Departamento de Matemática, PUC-Rio, Rua Marquês de São Vicente 225, Gávea, Rio de Janeiro 22451-900, Brazil

2. Department of Statistics, University of Oxford, 24-29 St Giles’, Oxford OX1 3LB, United Kingdom

3. The Czech Academy of Sciences, Institute of Computer Science, Pod Vodárenskou věží 2, 182 07 Prague, Czech Republic

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference26 articles.

1. W. Hoeffding, Probability inequalities for sums of bounded random variables, J. Amer. Statist. Assoc. 58 (1963), 13–30.

2. K. Azuma, Weighted sums of certain dependent random variables, Tohoku Math. J. 3 (1967), 357–367.

3. R.R. Bahadur, Some approximations to the binomial distributions function, Ann. Math. Statist. 31 (1960), no. 1, 43–54.

4. Y. Barhoumi-Andréani, C. Koch, and H. Liu, Bivariate fluctuations for the number of arithmetic progressions in random sets, Electronic Journal of Probability 24 (2019), 13–20.

5. B. Bhattacharya and S. Mukherjee, Replica symmetry in upper tails of mean-field hypergraphs, Adv. Appl. Math 119 (2020), 102047.

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