A Markov basis for two-state toric homogeneous Markov chain model without initial parameters
Statistics Theory
2015-03-17 v2 Statistics Theory
Abstract
We derive a Markov basis consisting of moves of degree at most three for two-state toric homogeneous Markov chain model of arbitrary length without parameters for initial states. Our basis consists of moves of degree three and degree one, which alter the initial frequencies, in addition to moves of degree two and degree one for toric homogeneous Markov chain model with parameters for initial states.
Keywords
Cite
@article{arxiv.1005.1717,
title = {A Markov basis for two-state toric homogeneous Markov chain model without initial parameters},
author = {Hisayuki Hara and Akimichi Takemura},
journal= {arXiv preprint arXiv:1005.1717},
year = {2015}
}
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13 pages