STAT 592:
Special Topics: Empirical Processes
Winter Quarter 1999
Readings for Topic 9:
Isoperimetric methods and inequalities
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Ledoux, M. (1996a).
On Talagrand's deviation inequalities for product measures.
1, 63 - 87.
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Ledoux, M. (1996b).
Isoperimetry and Gaussian Analysis
Ecole d'ete de Probabilites de Saint-Flour 1994,
165 - 294. Lecture Notes in Mathematics 1648, Springer - Verlag, Berlin.
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Talagrand, M. (1989).
Isoperimetry and integrability of the sum of
independent Banach space valued random variables.
Ann. Probability 17, 1546 - 1570.
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Talagrand, M. (1989).
An isoperimetric theorem on the cube and Kinchine-Kahane inequalities.
Proc. Amer. Math. Soc. 104, 905 - 909.
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Talagrand, M. (1993).
A new isoperimetric inequality for product measure,
and the tails of sums of independent random variables.
Geometric and Functional Analysis 3, 295 - 314.
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Talagrand, M. (1995).
Concentration of measure and isoperimetric inequalities in product spaces.
Publications Mathematiques IHES 81, 73 - 205.
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Talagrand, M. (1994).
Sharper bounds for Gaussian and empirical processes.
Ann. Probability 22, 28 - 76.
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