Abstract
Concentration functions are considered for sums of independent random variables. Two-sided bounds are given for concentration functions in the case of log-concave distributions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 976-988 |
| Number of pages | 13 |
| Journal | Journal of Theoretical Probability |
| Volume | 28 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 1 2015 |
Bibliographical note
Funding Information:Research partially supported by NSF grant DMS-1106530, Simons Fellowship, and SFB 701.
Publisher Copyright:
© 2013, Springer Science+Business Media New York.
Keywords
- Concentration functions
- Log-concave distributions
- Sums of independent random variables
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