Abstract
Optimal stability estimates in the class of regularized distributions are derived for the characterization of normal laws in Cramer’s theorem with respect to relative entropy and Fisher information distance.
Original language | English (US) |
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Title of host publication | Progress in Probability |
Publisher | Birkhauser |
Pages | 3-35 |
Number of pages | 33 |
DOIs | |
State | Published - 2016 |
Publication series
Name | Progress in Probability |
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Volume | 71 |
ISSN (Print) | 1050-6977 |
ISSN (Electronic) | 2297-0428 |
Bibliographical note
Publisher Copyright:© 2016, Springer International Publishing Switzerland.
Keywords
- Characterization of normal laws
- Cramer’s theorem
- Stability problems