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math.ST2015
Adaptive estimation for bifurcating Markov chains
S. Valère Bitseki Penda, Marc Hoffmann, Adélaïde Olivier
In a first part, we prove Bernstein-type deviation inequalities for bifurcating Markov chains (BMC) under a geometric ergodicity assumption, completing former results of Guyon and…
math.ST2015★ 1 cited
Autoregressive Functions Estimation in Nonlinear Bifurcating Autoregressive Models
Siméon Valère Bitseki Penda, Adélaïde Olivier
Bifurcating autoregressive processes, which can be seen as an adaptation of au-toregressive processes for a binary tree structure, have been extensively studied during the last dec…