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Upper and Lower Bounds for Stochastic Processes by Michel Talagrand [Repost]

Posted By: Free butterfly
Upper and Lower Bounds for Stochastic Processes by Michel Talagrand [Repost]

Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems by Michel Talagrand
English | 21 Feb. 2014 | ISBN: 3642540740 | 830 Pages | PDF | 6 MB

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.