STAT 592:
Special Topics: Empirical Processes
Winter Quarter 1999
Readings for Topic 6:
Approximation Rates: joint constructions
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Dudley, R. M. and Philipp, W. (1983).
Invariance principles for sums of Banach space valued random elements and
empirical processes.
Z. Wahrsch. v. Geb. 62, 509 - 552.
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Massart, P. (1986).
Rates of convergence in the central limit theorem for empirical processes
Ann. Inst. H. Poincare 22, 381 - 423.
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Koltchinskii, V. (1994).
Komlos-Major-Tusnday approximation for the general empirical process
and Haar expansions of classes of functions.
J. Theoret. Probab. 7, 73 - 118.
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