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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya

Teor. Veroyatnost. i Primenen., 2011, Volume 56, Issue 3, Pages 514–533 (Mi tvp4405)

Variations on the Berry–Esseen theorem
B. Klartag, S. Sodin

References

1. Adamczak R., Litvak A. E., Pajor A., Tomczak-Jaegermann N., Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling, Preprint, arXiv: 0904.4723  mathscinet
2. Barthe F., Cordero-Erausquin D., Ledoux M., Maurey M., “Correlation and Brascamp–Lieb inequalities for Markov semigroups”, Int. Math. Res. Notices, 2011 (2011), 2177–2216  mathscinet  zmath
3. Carlen E., Lieb E., Loss M., “A sharp analog of Young's inequality on $S^N$ and related entropy inequalities”, J. Geom. Anal., 4:3 (2004), 487–520  crossref  mathscinet
4. Kurant R., Robbins G., Chto takoe matematika? Elementarnyi ocherk idei i metodov, 3-e izd., MTsNMO, M., 2001, 64 pp.; Courant R., Robbins R., Stewart I., What is Mathematics? An Elementary Approach to Ideas and Methods, Oxford Univ. Press, Oxford, 1996, 566 ñ.  mathscinet  zmath
5. Diaconis P., Freedman D., “Asymptotics of graphical projection pursuit”, Ann. Statist., 12:3 (1984), 793–815  crossref  mathscinet  zmath  isi
6. Diaconis P., Freedman D., “A dozen de Finetti-style results in search of a theory”, Ann. Inst. H. Poincaré, 23:2 (1987), 397–423  mathscinet  zmath
7. Feller V., Vvedenie v teoriyu veroyatnostei i ee prilozheniya, v. 1, 2, Mir, M., 1984, 752 pp.
8. Friedland O., Sodin S., “Bounds on the concentration function in terms of the Diophantine approximation”, C. R. Math. Acad. Sci. Paris, 345:9 (2007), 513–518  crossref  mathscinet  zmath  isi
9. Hitczenko P., Montgomery-Smith S. J., Oleszkiewicz K., “Moment inequalities for sums of certain independent symmetric random variables”, Studia Math., 123:1 (1997), 15–42  mathscinet  zmath  isi
10. Ibragimov I. A., Linnik Yu. V., Nezavisimye i statsionarno svyazannye velichiny, Nauka, M., 1965, 524 pp.
11. Kahane J. P., Some Random Series of Functions, Cambridge Univ. Press, Cambridge, 1985, 305 pp.  mathscinet  zmath
12. Klartag B., “A Berry–Esseen type inequality for convex bodies with an unconditional basis”, Probab. Theory Related Fields, 45:1 (2009), 1–33  crossref  mathscinet
13. Rudelson M., Vershynin R., “The Littlewood–Offord problem and invertibility of random matrices”, Adv. Math., 218:2 (2008), 600–633  crossref  mathscinet  zmath  isi
14. Sudakov V. N., “Tipichnye raspredeleniya lineinykh funktsionalov v konechnomernykh prostranstvakh vysokoi razmernosti”, Dokl. AN SSSR, 243:6 (1978), 1402–1405  mathnet  mathscinet  zmath


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