Empirical Processes with Applications to Statistics

Preface for Classics Edition; Preface; 1. Introduction and survey of results; 2. Foundations, special spaces and special processes; 3. Convergence and distributions of empirical processes; 4. Alternatives and processes of residuals; 5. Integral test of fit and estimated empirical process; 6. Martingale methods; 7. Censored data: the product-limit estimator; 8. Poisson and exponential representations; 9. Some exact distributions; 10. Linear and nearly linear bounds on the empirical distribution function Gn; 11. Exponential inequalities and ║∙/q║ -metric convergence of Un and Vn; 12. The Hungarian constructions of Kn, Un, and Vn; 13. Laws of the iterated logarithm associated with Un and Vn; 14. Oscillations of the empirical process; 15. The uniform empirical difference process Dn≡Un + Vn; 16. The normalized uniform empirical process Zn and the normalized uniform quantile process; 17. The uniform empirical process indexed by intervals and functions; 18. The standardized quantile process Qn; 19. L-statistics; 20. Rank statistics; 21. Spacing; 22. Symmetry; 23. Further applications; 24. Large deviations; 25. Independent but not identically distributed random variable; 26. Empirical measures and processes for general spaces; Appendix A. Inequalities and miscellaneous; Appendix B. Counting processes Martingales; References; Errata; Author index; Subject index.