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References (6)
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P. Kevei, D. Mason (2011)
A note on a maximal Bernstein inequalityBernoulli, 17
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Radosław Adamczak (2007)
A tail inequality for suprema of unbounded empirical processes with applications to Markov chainsElectronic Journal of Probability, 13
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line -7: Replace this line with ≤ P {M (1, k) > t} + P {S (1, k + 1) > pt} + P {M (k + 2, n + 1) > qt} -
F. Móricz, R. Serfling, W. Stout (1982)
Moment and Probability Bounds with Quasi-Superadditive Structure for the Maximum Partial SumAnnals of Probability, 10
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F. Merlevède, M. Peligrad, E. Rio (2012)
Bernstein inequality and moderate deviations under strong mixing conditionsarXiv: Probability
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F. Merlevède, M. Peligrad (2011)
Rosenthal-type inequalities for the maximum of partial sums of stationary processes and examplesAnnals of Probability, 41
- Publisher
- Springer Basel
- Copyright
- © Springer Basel 2013
- ISBN
- 978-3-0348-0489-9
- Pages
- 55 –62
- DOI
- 10.1007/978-3-0348-0490-5_3
- Publisher site
- See Chapter on Publisher Site
Abstract
[We extend a general Bernstein-type maximal inequality of Kevei and Mason (2011) for sums of random variables.]
Published: Apr 1, 2013
Keywords: Bernstein inequality; dependent sums; maximal inequality; mixing; partial sums