Empirical Processes with Applications to Statistics
Autor Galen R Shorack, Jon A Wellneren Limba Engleză Paperback – 24 sep 2009
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Specificații
ISBN-13: 9780898716849
ISBN-10: 0898716845
Pagini: 948
Dimensiuni: 174 x 247 x 48 mm
Greutate: 1.34 kg
Ediția:Revised edition
Editura: Society for Industrial and Applied Mathematics (SIAM)
Locul publicării:Philadelphia, United States
ISBN-10: 0898716845
Pagini: 948
Dimensiuni: 174 x 247 x 48 mm
Greutate: 1.34 kg
Ediția:Revised edition
Editura: Society for Industrial and Applied Mathematics (SIAM)
Locul publicării:Philadelphia, United States
Cuprins
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.
Descriere
A detailed treatment of limit theorems and inequalities for empirical processes of real-valued random variables.