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Upper and Lower Bounds for Stochastic Processes

Name: Upper and Lower Bounds for Stochastic Processes
Brand: Springer Nature Switzerland AG
SKU: 37629353
Price: 3767 CZK
Availability: InStock
Author: Michel Talagrand
ISBN: 9783030825942

Decomposition Theorems

Michel Talagrand

Jazyk

Angličtina

Kniha Pevná

Libristo kód: 37629353

Nakladatelství Springer Nature Switzerland AG, prosinec 2021

This book provides an in-depth account of modern methods used to bound the supremum of stochastic pr... Celý popis

Libristo kód: 37629353

377 b

3 767 Kč

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This book provides an in-depth account of modern methods used to bound the supremum of stochastic processes. Starting from first principles, it takes the reader to the frontier of current research. This second edition has been completely rewritten, offering substantial improvements to the exposition and simplified proofs, as well as new results.The book starts with a thorough account of the generic chaining, a remarkably simple and powerful method to bound a stochastic process that should belong to every probabilist's toolkit. The effectiveness of the scheme is demonstrated by the characterization of sample boundedness of Gaussian processes. Much of the book is devoted to exploring the wealth of ideas and results generated by thirty years of efforts to extend this result to more general classes of processes, culminating in the recent solution of several key conjectures.A large part of this unique book is devoted to the author's influential work. While many of the results presented are rather advanced, others bear on the very foundations of probability theory. In addition to providing an invaluable reference for researchers, the book should therefore also be of interest to a wide range of readers.