| 書目名稱 | High Dimensional Probability II | | 編輯 | Evarist Giné,David M. Mason,Jon A. Wellner | | 視頻video | http://file.papertrans.cn/427/426217/426217.mp4 | | 叢書名稱 | Progress in Probability | | 圖書封面 |  | | 描述 | High dimensional probability, in the sense that encompasses the topics rep- resented in this volume, began about thirty years ago with research in two related areas: limit theorems for sums of independent Banach space valued random vectors and general Gaussian processes. An important feature in these past research studies has been the fact that they highlighted the es- sential probabilistic nature of the problems considered. In part, this was because, by working on a general Banach space, one had to discard the extra, and often extraneous, structure imposed by random variables taking values in a Euclidean space, or by processes being indexed by sets in R or Rd. Doing this led to striking advances, particularly in Gaussian process theory. It also led to the creation or introduction of powerful new tools, such as randomization, decoupling, moment and exponential inequalities, chaining, isoperimetry and concentration of measure, which apply to areas well beyond those for which they were created. The general theory of em- pirical processes, with its vast applications in statistics, the study of local times of Markov processes, certain problems in harmonic analysis, and the general theo | | 出版日期 | Conference proceedings 2000 | | 關(guān)鍵詞 | Bootstrapping; Gaussian process; Markov process; Martingale; Maxima; Random variable; Stochastic processes | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-1358-1 | | isbn_softcover | 978-1-4612-7111-6 | | isbn_ebook | 978-1-4612-1358-1Series ISSN 1050-6977 Series E-ISSN 2297-0428 | | issn_series | 1050-6977 | | copyright | Springer Science+Business Media New York 2000 |
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