Strong Stable Markov Chains pdf epub mobi txt 电子书 下载 2025
- Markov Chains
- Stochastic Processes
- Probability Theory
- Ergodic Theory
- Statistical Mechanics
- Queueing Theory
- Reliability Theory
- Monte Carlo Methods
- Mathematical Finance
- Applied Probability
具体描述
This monograph presents a new approach to the investigation of ergodicity and stability programs for homogeneous Markov chains with a discrete-time and with values in a measurable space. The main purpose of the book is to highlight various methods for the explicit evaluation of estimates for convergence rates in ergodic theorems and in stability theorems for wide classes of chains. These methods are based on the classical perturbation theory of linear operators in Banach spaces and give new results even for finite chains. In the first part of the book, the theory of uniform ergodic chains with respect to a given norm is developed. In the second part, the condition of the uniform ergodicity is removed.
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