Published February 2022
| Version Accepted Version
Journal Article
Open
An improvement of Tusnády's inequality in the bulk
Abstract
We prove a non-asymptotic generalization of the refined continuity correction developed by Cressie [4] for the Binomial distribution, which we then use to improve the versions of Tusnády's inequality from Massart [18] and Carter & Pollard [3] in the bulk.
Additional Information
© 2021 Elsevier. Received 25 March 2021, Revised 2 August 2021, Accepted 2 September 2021, Available online 14 October 2021. F.O. is supported by a postdoctoral fellowship from the NSERC (PDF) and postdoctoral fellowships from the FRQNT (B3X supplement and B3XR). Data availability statement. Data sharing not applicable to this article as no datasets were generated or analysed during the current study.Attached Files
Accepted Version - 2010.15917.pdf
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2010.15917.pdf
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Additional details
Additional titles
- Alternative title
- A non-asymptotic version of Cressie's refined continuity correction for the binomial distribution
Identifiers
- Eprint ID
- 112443
- Resolver ID
- CaltechAUTHORS:20211214-82849000
Related works
- Describes
- https://arxiv.org/abs/2010.15917 (URL)
Funding
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Fonds de recherche du Québec – Nature et technologies (FRQNT)
- B3X supplement
- Fonds de recherche du Québec – Nature et technologies (FRQNT)
- B3XR
Dates
- Created
-
2021-12-15Created from EPrint's datestamp field
- Updated
-
2022-02-01Created from EPrint's last_modified field