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Empirical Processes with Applications to Statistics

By: Contributor(s): Language: English Series: Wiley Series in Probability and Mathematical Statistics | Probability and Mathematical Statistics | Barnett, Vic (Ed.) | Bradley, Ralph A. (Ed.) | Hunter, J. Stuart (Ed.) | et alPublication details: New York, Chichester, Brisbane : John Wiley and Sons 1986Edition: 1. EdDescription: xxxvii, 938 pp., [xxxvii, 437 pp.]ISBN:
  • 0-471-86725-X
Subject(s): DDC classification:
  • 519 Probabilities and applied mathematics
Contents:
from the Table of Contents: Introduction and Survey of Results; Foundations, Special Spaces and Special Processes; Convergence and Distributions of Empirical Processes; Alternatives and Processes of Residuals; Integral Test of Fit and Estimated Empirical Process; Martingale Methods; Censored data: the Product-Limit Estimator; Poissson and Exponential Representations; Some Exact Distributions; Linear and Nearly Linear Bounds on the Empirical Distributions Function Gn; Exponential Inequalities and ... ; The Hungarian Constructions of Kn, Un, and Vn; Laws of the Iterated Logarithm Associated with Un and Vn; Oscillations of the Empirical Process; The Uniform Empirical Process ...; The Normalized Uniform Empirical Process Zn, and the Normalized Uniform Quantile Process; The Uniform Empirical Process Indexed by Intervals and Functions; The Standardized Quantile Process Qn; L-Statistics; Rank Statistics; Spacings; Symmetry; Further Applications; Large Deviations; Independent but not Identically Distributed Random Variables; Empirical Measures and Processes for General Spaces; Appendixes: Inequalities and Miscellaneous; Counting Processes Martingales; References; Author Index; Subject Index;
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Loanable Institute for Advanced Studies (IHS) Book X246-A/I Available IHS102924107

from the Table of Contents: Introduction and Survey of Results; Foundations, Special Spaces and Special Processes; Convergence and Distributions of Empirical Processes; Alternatives and Processes of Residuals; Integral Test of Fit and Estimated Empirical Process; Martingale Methods; Censored data: the Product-Limit Estimator; Poissson and Exponential Representations; Some Exact Distributions; Linear and Nearly Linear Bounds on the Empirical Distributions Function Gn; Exponential Inequalities and ... ; The Hungarian Constructions of Kn, Un, and Vn; Laws of the Iterated Logarithm Associated with Un and Vn; Oscillations of the Empirical Process; The Uniform Empirical Process ...; The Normalized Uniform Empirical Process Zn, and the Normalized Uniform Quantile Process; The Uniform Empirical Process Indexed by Intervals and Functions; The Standardized Quantile Process Qn; L-Statistics; Rank Statistics; Spacings; Symmetry; Further Applications; Large Deviations; Independent but not Identically Distributed Random Variables; Empirical Measures and Processes for General Spaces; Appendixes: Inequalities and Miscellaneous; Counting Processes Martingales; References; Author Index; Subject Index;

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