Weak dimension-free concentration of measure

Bernoulli

Volumn 6, Issue 4, 2000, Pages 621-632

  Bobkov, Sergey G ^a   Houdré, Christian ^b  

^a SYKTYVKAR STATE UNIVERSITY   (Russian Federation)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Concentration of measure; Extreme samples; Isoperimetry

Indexed keywords

EID: 4043070335     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.2307/3318510     Document Type: Article

References (7)

1. Bobkov, S.G. (1996) Extremal properties of half-spaces for log-concave distributions. Ann. Probab., 24, 35-48.
2. Bobkov S.G. and Götze, F. (1999) Discrete isoperimetric and Poincaré-type inequalities. Probab. Theory Related Fields, 114, 245-277.
3. Bobkov, S.G. and Houdré, C. (1997) Some Connections between Sobolev-Type Inequalities and Isoperimetry, Mem. Amer. Math. Soc. 616. Providence, RI: American Mathematical Society.
4. Bobkov, S.G. and Ledoux, M. (1997) Poincaré inequalities and Talagrand's concentration phenomenon for the exponential distribution. Probab. Theory Related Fields, 107, 383-400.
5. de Haan, L. and Ridder, G. (1979) Stochastic compactness of sample extremes. Ann. Probab., 7, 290-303.
6. Talagrand, M. (1991) A new isoperimetric inequality and the concentration of measure phenomenon. In J. Lindenstrauss and V.D. Milman (eds), Geometric Aspects of Functional Analysis, Lecture Notes in Math. 1469, pp. 94-124. Berlin: Springer-Verlag.
7. Talagrand, M. (1995) Concentration of measure and isoperimetric inequalities in product spaces. Inst. Hautes Études Sci. Publ. Math., 81, 73-205.