Empirical Processes with Applications to Statistics

Galen R. Shorack is a Professor of Statistics at the University of Washington. He is a Fellow of the Institute of Mathematical Statistics and has written a graduate level text on probability theory. Jon A. Wellner is a Professor of Statistics at the University of Washington. He is a Fellow of the Institute of Mathematical Statistics, the American Statistical Association, and the American Association for the Advancement of Science. He has written three other books on probability and statistics.

• Preface to Classics EditionPrefaceList of TablesList of Special SymbolsChapter 1: Introduction and Survey of ResultsChapter 2: Foundations, Special Spaces and Special ProcessesChapter 3: Convergence and Distributions of Empirical ProcessesChapter 4: Alternatives and Processes of ResidualsChapter 5: Integral Test of Fit and Estimated Empirical ProcessChapter 6: Martingale MethodsChapter 7: Censored datathe Product-Limit EstimatorChapter 8: Poisson and Exponential RepresentationsChapter 9: Some Exact DistributionsChapter 10: Linear and Nearly Linear Bounds on the Empirical Distribution Function GnChapter 11: Exponential Inequalities and ??/q? -Metric Convergence of Un and VnChapter 12: The Hungarian Constructions of Kn, Un, and VnChapter 13: Laws of the Iterated Logarithm Associated with Un and VnChapter 14: Oscillations of the Empirical ProcessChapter 15: The Uniforma Empirical Difference Process Dn?Un + VnChapter 16: The Normalized Uniform Empirical Process Zn and the Normalized Uniform Quantile ProcessChapter 17: The Uniform Empirical Process Indexed by Intervals and FunctionsChapter 18: The Standardized Quantile Process QnChapter 19: L-StatisticsChapter 20: Rank StatisticsChapter 21: SpacingChapter 22: SymmetryChapter 23: Further ApplicationsChapter 24: Large DeviationsChapter 25: Independent but not Identically Distributed Random VariableChapter 26: Empirical Measures and Processes for General SpacesAppendix A: Inequalities and MiscellaneousAppendix B: Counting Processes MartingalesErrataReferencesAuthor IndexSubject Index