Tail and moment estimates for some types of chaos

Studia Mathematica

Volumn 135, Issue 1, 1999, Pages 39-53

  Latała, Rafał ^a  

^a UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17344379325     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm-135-1-39-53     Document Type: Article

References (8)

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3. C. G. Khatri, On certain inequalities for normal distributions and their applications to simultaneous confidence bounds, Ann. Math. Statist. 38 (1967), 1853-1867.
4. R. Latała, Tail and moment estimates for sums of independent random vectors with logarithmically concave tails, Studia Math. 118 (1996), 301-304.
5. B. Maurey, Some deviation inequalities, Geom. Funct. Anal. 1 (1991), 188-197.
6. V. H. de la Peña and S. J. Montgomery-Smith, Bounds on the tail probability of U-statistics and quadratic forms, Bull. Amer. Math. Soc. 31 (1994), 223-227.
7. Z. Sidak, Rectangular confidence regions for the means of multivariate normal distributions, J. Amer. Statist. Assoc. 62 (1967), 626-633.
8. M. Talagrand, A new isoperimetric inequality and the concentration of measure phenomenon, in: Geometric Aspects of Functional Analysis (1989-90), Lecture Notes in Math. 1469, Springer, 1991, 94-124.