| 书目名称 | Selected Works of R.M. Dudley |
| 编辑 | Evarist Giné,Vladimir Koltchinskii,Rimas Norvaisa |
| 视频video | |
| 概述 | Includes his major journal publications plus commentaries in the papers by the editors..Includes a complete bibliography.Electronic version is freely available on SpringerLink |
| 丛书名称 | Selected Works in Probability and Statistics |
| 图书封面 |  |
| 描述 | .For almost fifty years, Richard M. Dudley has been extremely influential in the development of several areas of Probability. His work on Gaussian processes led to the understanding of the basic fact that their sample boundedness and continuity should be characterized in terms of proper measures of complexity of their parameter spaces equipped with the intrinsic covariance metric. His sufficient condition for sample continuity in terms of metric entropy is widely used and was proved by X. Fernique to be necessary for stationary Gaussian processes, whereas its more subtle versions (majorizing measures) were proved by M. Talagrand to be necessary in general. ..Together with V. N. Vapnik and A. Y. Cervonenkis, R. M. Dudley is a founder of the modern theory of empirical processes in general spaces. His work on uniform central limit theorems (under bracketing entropy conditions and for Vapnik-Cervonenkis classes), greatly extends classical results that go back to A. N. Kolmogorov and M. D. Donsker, and became the starting point of a new line of research, continued in the work of Dudley and others, that developed empirical processes into one of the major tools in mathematical statistics |
| 出版日期 | Book 2010 |
| 关键词 | Gaussian process; Markov process; Poisson process; Random Walk; Random variable; Variance; abstract Wiener |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4419-5821-1 |
| isbn_softcover | 978-1-4939-4055-4 |
| isbn_ebook | 978-1-4419-5821-1Series ISSN 2197-5825 Series E-ISSN 2197-5833 |
| issn_series | 2197-5825 |
| copyright | Springer Science+Business Media, LLC 2010 |
发表于 2025-3-21 19:16:38
