|Title||A Markov basis for two-state toric homogeneous Markov chain model without initial parameters.|
|Author(s)|| Hiren Maharaj, Akimichi Takemura|
|Type||Article in Journal|
|Abstract||We derive a Markov basis consisting of moves of degree at most three for a 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||algebraic statistics; Gröbner basis; indispensable move; toric ideal|
|Journal||J. Jpn. Stat. Soc.|
|Publisher||Japan Statistical Society, Tokyo|