Necessary and sufficient conditions for weak convergence of smoothed empirical processes

This publication has 10 references indexed in Scilit:

• Uniform Central Limit Theorems
  1999
• On Random Measure Processes with Application to Smoothed Empirical Processes
  1998
• Limit Theorems for $U$-Processes
  The Annals of Probability, 1993
• Chung—Smirnov property for perturbed empirical distribution functions
  Statistics & Probability Letters, 1993
• Gaussian Characterization of Uniform Donsker Classes of Functions
  The Annals of Probability, 1991
• A Central Limit Theorem Under Metric Entropy with $L_2$ Bracketing
  The Annals of Probability, 1987
• Some Limit Theorems for Empirical Processes
  The Annals of Probability, 1984
• Central Limit Theorems for Empirical Measures
  The Annals of Probability, 1978
• On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
  Theory of Probability & Its Applications, 1971
• The central limit theorem and ε-entropy
  1969