14 citations · 40 across the 13 of their papers we have counts for
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math.PR2011★ 14 cited
Attractive regular stochastic chains: perfect simulation and phase transition
Sandro Gallo, Daniel Yasumasa Takahashi
We prove that uniqueness of the stationary chain, or equivalently, of the -measure, compatible with an attractive regular probability kernel is equivalent to either one of the f…
math.PR2011★ 1 cited
Markov Approximations of chains of infinite order in the -metric
Sandro Gallo, Matthieu Lerasle, Daniel Yasumasa Takahashi
We derive explicit upper bounds for the -distance between a chain of infinite order and its canonical -steps Markov approximation. Our proof is entirely constructive an…
math.ST2011★ 8 cited
Sharp oracle inequalities and slope heuristic for specification probabilities estimation in discrete random fields
Matthieu Lerasle, Daniel Y. Takahashi
We study the problem of estimating the one-point specification probabilities in non-necessary finite discrete random fields from partially observed independent samples. Our procedu…