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Estimating the division rate from indirect measurements of single cells
Marie Doumic, Adélaïde Olivier, Lydia Robert
Is it possible to estimate the dependence of a growing and dividing population on a given trait in the case where this trait is not directly accessible by experimental measurements…
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…
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…