Large Deviations for Discrete-time Processes With Averaging - Couverture rigide

Gulinsky, O. V.; Veretennikov, A. Yu.

 
9789067641487: Large Deviations for Discrete-time Processes With Averaging

Synopsis

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information. This book is mainly based on the Cramér--Chernoff renowned theorem, which deals with the 'rough' logarithmic asymptotics of the distribution of sums of independent, identically distributed random variables. The authors approach primarily the extensions of this theory to dependent, and in particular, nonmarkovian cases on function spaces. Recurrent algorithms of identification and adaptive control form the main examples behind the large deviation problems in this volume. The first part of the book exploits some ideas and concepts of the martingale approach, especially the concept of the stochastic exponential. The second part of the book covers Freindlin's approach, based on the Frobenius-type theorems for positive operators, which prove to be effective for the cases in consideration.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783110423495: Large Deviations for Discrete-time Processes With Averaging

Edition présentée

ISBN 10 :  3110423499 ISBN 13 :  9783110423495
Editeur : De Gruyter, 1993
Couverture rigide