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. R
Large Deviations for Discrete-Time Processes with Averaging
โ Scribed by O. V. Gulinsky; A. Yu. Veretennikov
- Publisher
- De Gruyter
- Year
- 1993
- Tongue
- English
- Leaves
- 192
- Edition
- Reprint 2018
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Contents
Preface
Chapter 1. Introduction to large deviations
Chapter 2. Large deviations for the non-markovian recursive scheme with additive svhite noise'
Chapter 3. Large deviations for the recursive scheme with stationary disturbances
Chapter 4. Generalization of cramer's theorem
Chapter 5. Mixing for markov processes
Chapter 6. The averaging principle for some recursive stochastic schemes with state dependent noise
Chapter 7. Normal deviations
Chapter 8. Large deviations for markov processes
Chapter 9. Large deviations for stationary processes
Chapter 10. Large deviations for empirical measures
Chapter 11. Large deviations in averaging principle
Bibliography
๐ SIMILAR VOLUMES
The book is devoted to the results on large deviations for a class of stochastic processes. Following an introduction and overview, the material is presented in three parts. Part 1 gives necessary and sufficient conditions for exponential tightness that are analogous to conditions for tightness in t