Large Deviations for Discrete-Time Processes with Averaging - Tapa dura

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

 
9789067641487: Large Deviations for Discrete-Time Processes with Averaging

Sinopsis

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.

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Reseña del editor

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 Cramer--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.

Reseña del editor

Based on the Cramer-Chernoff theorem, which deals with the "rough" logarithmic asymptotics of the distribution of sums of independent, identically random variables, this work primarily approaches the extensions of this theory to dependent and, in particular, non-Markovian 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 covers Freidlin's approach, based on the Frobenius-type theorems for positive operators, whuch prove to be effective for the cases in consideration. The book should be of value and interest to scientists in the field of probability, statistics and electrical engineering, as well as physicists dealing with statistical mechanics.

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Otras ediciones populares con el mismo título

9783110423495: Large Deviations for Discrete-Time Processes with Averaging

Edición Destacada

ISBN 10:  3110423499 ISBN 13:  9783110423495
Editorial: De Gruyter, 1993
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