Empirical Distributions and Processes: Selected Papers from a Meeting at Oberwolfach, March 28 – April 3, 1976

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Author(s): M. Csörgő, M. D. Burke (auth.), Peter Gaenssler, Pál Révész (eds.)
Series: Lecture Notes in Mathematics 566
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1976

Language: English
Pages: 150
City: Berlin; New York
Tags: Mathematics, general

Weak approximations of the empirical process when parameters are estimated....Pages 1-16
On the Erdös-Rényi increments and the P. Lévy modulus of continuity of a kiefer process....Pages 17-32
Kolmogorov-smirnov tests when parameters are estimated....Pages 33-44
On uniform convergence of measures with applications to uniform convergence of empirical distributions....Pages 45-56
An alternative approach to glivenko-cantelli theorems....Pages 57-67
Weak convergence under contiguous alternatives of the empirical process when parameters are estimated: The D k approach....Pages 68-82
Almost sure invariance principles for empirical distribution functions of weakly dependent random variables....Pages 83-105
Three theorems of multivariate empirical process....Pages 106-126
Weak convergence to stable laws by means of a weak invariance principle....Pages 127-137
A necessary condition for the convergence of the isotrope discrepancy....Pages 138-140
Two examples concerning uniform convergence of measures w.r.t. balls in Banach spaces....Pages 141-146