Hoeffding's inequality for uniformly ergodic Markov chains
โ Scribed by Peter W. Glynn; Dirk Ormoneit
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 72 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
โฆ Synopsis
We provide a generalization of Hoe ding's inequality to partial sums that are derived from a uniformly ergodic Markov chain. Our exponential inequality on the deviation of these sums from their expectation is particularly useful in situations where we require uniform control on the constants appearing in the bound.
๐ SIMILAR VOLUMES
In several papers Meyer, singly and with coauthors, established the usefulness of the group generalized inverse in the study and computations of various aspects of Markov chains. Here we are interested in those results which concern bounds on the condition number of the chain and on the error in the