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Author:   R. M. Dudley (Massachusetts Institute of Technology)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Edition:   2nd Revised edition
Volume:   142
Dimensions:   Width: 15.20cm , Height: 2.60cm , Length: 22.80cm
Weight:   0.650kg
ISBN:  

9780521738415

ISBN 10:   0521738415
Pages:   482
Publication Date:   24 February 2014
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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Author Information

R. M. Dudley is a Professor of Mathematics at the Massachusetts Institute of Technology in Cambridge, Massachusetts.

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