Discrete Capacity and Higher-order Differences of Two-state Markov Chains
Probability
2016-09-06 v2
Abstract
The paper studies the time-homogeneous two-state Markov chains; the states are assumed to be binary symbols 0 and 1. The higher-order absolute differences taken from progressive states of a given chain are considered. A discrete capacity of subsets of natural series is defined and a limiting theorem for these differences, formulated in terms of Wiener criterion type relation, is presented.
Keywords
Cite
@article{arxiv.1606.06760,
title = {Discrete Capacity and Higher-order Differences of Two-state Markov Chains},
author = {A. Yu. Shahverdian},
journal= {arXiv preprint arXiv:1606.06760},
year = {2016}
}
Comments
5 pages; corrected definitions and formulations