16 citations · 79 across the 12 of their papers we have counts for
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math.ST2010★ 1 cited
A Markov basis for two-state toric homogeneous Markov chain model without initial parameters
Hisayuki Hara, Akimichi Takemura
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. O…
math.ST2010★ 7 cited
Markov chain Monte Carlo test of toric homogeneous Markov chains
Akimichi Takemura, Hisayuki Hara
Markov chain models are used in various fields, such behavioral sciences or econometrics. Although the goodness of fit of the model is usually assessed by large sample approximatio…