48 citations · 119 across the 6 of their papers we have counts for
7 papers
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…
Statistical study of asymmetry in cell lineage data
Benoîte de Saporta, Anne Gégout Petit, Laurence Marsalle
A rigorous methodology is proposed to study cell division data consisting in several observed genealogical trees of possibly different shapes. The procedure takes into account miss…
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…
Asymmetry tests for Bifurcating Auto-Regressive Processes with missing data
Benoîte de Saporta, Anne Gégout-Petit, Laurence Marsalle
We present symmetry tests for bifurcating autoregressive processes (BAR) when some data are missing. BAR processes typically model cell division data. Each cell can be of one of tw…
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…