An extended Wichura theorem, definitions of Donsker class, and weighted empirical distributions

This publication has 20 references indexed in Scilit:

• Invariance principles for sums of Banach space valued random elements and empirical processes
  Probability Theory and Related Fields, 1983
• Measure Theory
  Published by Springer Nature ,1980
• Central Limit Theorems for Empirical Measures
  The Annals of Probability, 1978
• Almost surely convergent versions of sequences which converge weakly
  Bulletin of the Brazilian Mathematical Society, New Series, 1974
• On the Weak Convergence of Empirical Processes in Sup-norm Metrics
  The Annals of Probability, 1974
• Sample Functions of the Gaussian Process
  The Annals of Probability, 1973
• Distances of Probability Measures and Random Variables
  The Annals of Mathematical Statistics, 1968
• The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
  Journal of Functional Analysis, 1967
• Justification and Extension of Doob's Heuristic Approach to the Kolmogorov- Smirnov Theorems
  The Annals of Mathematical Statistics, 1952
• On the Law of the Iterated Logarithm
  Annals of Mathematics, 1942