Approximating kth-order two-state Markov chains
- 1 March 1992
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 29 (04) , 861-868
- https://doi.org/10.1017/s0021900200043734
Abstract
In this paper, we consider kth-order two-state Markov chains {Xi } with stationary transition probabilities. For k = 1, we construct in detail an upper bound for the total variation d(Sn, Y) = Σ x |Keywords
This publication has 4 references indexed in Scilit:
- A limiting distribution for Bernoulli trials with second-order Markov dependenceJournal of Applied Probability, 1983
- Number of occurrences in two‐state Markov chains, with an application in linguisticsThe Canadian Journal of Statistics / La Revue Canadienne de Statistique, 1982
- On the limit of the Markov binomial distributionJournal of Applied Probability, 1981
- A Generalization of Poisson's Distribution for Markoff ChainsProceedings of the National Academy of Sciences, 1950