Upper and Lower Bounds for Stochastic Processes Modern Methods and Classical Problems /

• Κύριος συγγραφέας: Talagrand, Michel (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
• Σειρά: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 60
• Θέματα: Mathematics.; Functional analysis.; Probabilities.; Probability Theory and Stochastic Processes.; Functional Analysis.
• Φυσική περιγραφή: XV, 626 p. online resource.
• ISBN: 9783642540752
• ISSN: 0071-1136 ;

The book develops modern methods and in particular the "generic chaining" to bound stochastic processes. This methods allows in particular to get optimal bounds for Gaussian and Bernoulli processes. Applications are given to stable processes, infinitely divisible processes, matching theorems, the convergence of random Fourier series, of orthogonal series, and to functional analysis. The complete solution of a number of classical problems is given in complete detail, and an ambitious program for future research is laid out.