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Englisch
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Beschreibung
This expanded edition of the classic work on empirical processes now boasts several new proved theorems not in the first.
This expanded edition of the classic work on empirical processes now boasts several new proved theorems not in the first.
Über den Autor
R. M. Dudley is a Professor of Mathematics at the Massachusetts Institute of Technology in Cambridge, Massachusetts.
Inhaltsverzeichnis
1. Donsker's theorem and inequalities; 2. Gaussian processes, sample continuity; 3. Definition of Donsker classes; 4. Vapnik-Cervonenkis combinatorics; 5. Measurability; 6. Limit theorems for VC-type classes; 7. Metric entropy with bracketing; 8. Approximation of functions and sets; 9. Two samples and the bootstrap; 10. Uniform and universal limit theorems; 11. Classes too large to be Donsker; Appendix A. Differentiating under an integral sign; Appendix B. Multinomial distributions; Appendix C. Measures on nonseparable metric spaces; Appendix D. An extension of Lusin's theorem; Appendix E. Bochner and Pettis integrals; Appendix F. Non-existence of some linear forms; Appendix G. Separation of analytic sets; Appendix H. Young-Orlicz spaces; Appendix I. Versions of isonormal processes.
Details
Erscheinungsjahr: | 2014 |
---|---|
Fachbereich: | Wahrscheinlichkeitstheorie |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9780521738415 |
ISBN-10: | 0521738415 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Dudley, R. M. |
Hersteller: | Cambridge University Press |
Maße: | 229 x 152 x 28 mm |
Von/Mit: | R. M. Dudley |
Erscheinungsdatum: | 22.05.2014 |
Gewicht: | 0,782 kg |
Über den Autor
R. M. Dudley is a Professor of Mathematics at the Massachusetts Institute of Technology in Cambridge, Massachusetts.
Inhaltsverzeichnis
1. Donsker's theorem and inequalities; 2. Gaussian processes, sample continuity; 3. Definition of Donsker classes; 4. Vapnik-Cervonenkis combinatorics; 5. Measurability; 6. Limit theorems for VC-type classes; 7. Metric entropy with bracketing; 8. Approximation of functions and sets; 9. Two samples and the bootstrap; 10. Uniform and universal limit theorems; 11. Classes too large to be Donsker; Appendix A. Differentiating under an integral sign; Appendix B. Multinomial distributions; Appendix C. Measures on nonseparable metric spaces; Appendix D. An extension of Lusin's theorem; Appendix E. Bochner and Pettis integrals; Appendix F. Non-existence of some linear forms; Appendix G. Separation of analytic sets; Appendix H. Young-Orlicz spaces; Appendix I. Versions of isonormal processes.
Details
Erscheinungsjahr: | 2014 |
---|---|
Fachbereich: | Wahrscheinlichkeitstheorie |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9780521738415 |
ISBN-10: | 0521738415 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Dudley, R. M. |
Hersteller: | Cambridge University Press |
Maße: | 229 x 152 x 28 mm |
Von/Mit: | R. M. Dudley |
Erscheinungsdatum: | 22.05.2014 |
Gewicht: | 0,782 kg |
Warnhinweis