48 citations · 119 across the 6 of their papers we have counts for
5 papers · 1 filter
Renewal in Hawkes processes with self-excitation and inhibition
Manon Costa, Carl Graham, Laurence Marsalle +1
This paper investigates Hawkes processes on the positive real line exhibiting both self-excitation and inhibition. Each point of this point process impacts its future intensity by…
Random coefficients bifurcating autoregressive processes
Benoîte de Saporta, Anne Gégout-Petit, Laurence Marsalle
This paper presents a model of asymmetric bifurcating autoregressive process with random coefficients. We couple this model with a Galton Watson tree to take into account possibly…
Parameters estimation for asymmetric bifurcating autoregressive processes with missing data
Benoîte de Saporta, Anne Gégout-Petit, Laurence Marsalle
We estimate the unknown parameters of an asymmetric bifurcating autoregressive process (BAR) when some of the data are missing. In this aim, we model the observed data by a two-typ…
Limit theorems for Markov processes indexed by continuous time Galton--Watson trees
Vincent Bansaye, Jean-François Delmas, Laurence Marsalle +1
We study the evolution of a particle system whose genealogy is given by a supercritical continuous time Galton--Watson tree. The particles move independently according to a Markov…
Detection of cellular aging in a Galton-Watson process
Jean-François Delmas, Laurence Marsalle
We consider the bifurcating Markov chain model introduced by Guyon to detect cellular aging from cell lineage. To take into account the possibility for a cell to die, we use an und…