Patricia Reynaud-BouretLaboratoire
J. A. Dieudonné
U.M.R.
C.N.R.S. N° 6621
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Curriculum Vitae
2008- : CNRS Researcher at Nice Sophia-Antipolis
University.
2003-2008 : Researcher
(Chargée de Recherche) au DMA (ENS-Paris).
2002-2003
: Postdoctoral Studies at the School of Mathematics (Georgia Institute of Technology,
1999-2002 : PhD Thesis at Département de Mathématiques d'Orsay (Paris
XI)
PhD advisor : P. Massart
Title : Estimation
adaptative de l'intensité de certains processus ponctuels par sélection de
modèle
Research interest
Adaptive
Statistics
Point
processes
Concentration
inequalities
Application
to the detection of favored
or avoided distances on the DNA sequence via Hawkes
processes
HDR Manuscript
Title : Adaptive statistical inference for some point processes (Poisson, Aalen, Hawkes)
Students
PhD Students :
Laure Sansonnet (2009- ) [co-advisor Vincent Rivoirard]
Salima El Kolei (2009- ) [co-advisor Frédéric Patras]
Publications
[11] Doumic -Jauffret, Marie ; Hoffmann, Marc ; Reynaud-Bouret, Patricia ; Rivoirard, Vincent Nonparametric estimation of the division rate of a size-structured population, to appear in SIAM Journal on Numerical Analysis.
[10] Reynaud-Bouret, Patricia ; Rivoirard, Vincent ; Tuleau-Malot, Christine Adaptive density estimation: a curse of support? J. Statist. Plann. Inference, 141, 115-139 (2011).
[9] Fromont, Magalie ; Laurent, Béatrice ; Reynaud-Bouret, Patricia Adaptive test of homogeneity for a Poisson process Ann. Inst. H. Poincaré Probab. Statist. 47 (1), 176-213 (2011).
[8] Reynaud-Bouret, Patricia ; Schbath, Sophie Adaptive estimation for Hawkes processes; application to genome analysis Ann. Statist., 38(5), 2781-2822 (2010).
[7] Reynaud-Bouret, Patricia ; Rivoirard, Vincent Near optimal thresholding
estimation of a Poisson intensity on the real line Electronic Journal of Statistics, 4, 172-238 (2010).
[6] Houdré, Christian ;
Marchal, Philippe ; Reynaud-Bouret,
Patricia Concentration for norms of infinitely
divisible vectors with independent components. Bernoulli, 14(4), 926-948 (2008).
[5] Reynaud-Bouret, Patricia ; Roy,
Emmanuel Some
non asymptotic tail estimates for Hawkes processes. Bulletin of the Belgian Mathematical
Society-Simon Stevin, 13(5), 883-896 (2007) (old version here).
[4] Reynaud-Bouret, Patricia Penalized projection estimators of
the Aalen multiplicative intensity. Bernoulli, 12(4), 633-661 (2006).
[3] Reynaud-Bouret, Patricia Compensator and exponential
inequalities for some suprema of counting processes. Statistics and Probability Letters,
76(14), 1514-1521 (2006).
[2] Houdré, Christian ; Reynaud-Bouret, Patricia
Exponential inequalities, with
constants, for U-statistics of order two. Stochastic inequalities and applications, Progr.
Probab., 56 Birkhäuser,
[1] Reynaud-Bouret, Patricia Adaptive
estimation of the intensity of inhomogeneous Poisson processes via
concentration inequalities. Probab. Theory
Related Fields 126 (1), 103-153 (2003)
Houdré, Christian ; Reynaud-Bouret,
Patricia (preliminary work for [6]) Concentration for
Infinitely Divisible Vectors with Independent Components
Reynaud-Bouret, Patricia ; Rivoirard, Vincent (preliminary work for [7]) Adaptive
thresholding estimation of a Poisson intensity with
infinite support
Reynaud-Bouret, Patricia ; Rivoirard, Vincent (preliminary work for [7]) Calibration of thresholding rules for Poisson intensity estimation
Links
LJAD's weekly Seminar in Probability and Statistics
Fifth edition of "Journées Statistiques du Sud", June 14th-16th 2011.
Scientific
responsability of the ANR project ATLAS : From
Applications to Theory in Learning and Adaptive Statistics (administration : Gilles Stoltz)
WORKSHOP ATLAS : September 10th -18th 2009 click here
Associate Editor of ESAIM PS
Coworkers :
Some Members of
ATLAS : Vincent Rivoirard, Béatrice Laurent, Magalie Fromont, Sophie Schbath,
Emmanuel Roy, Philippe Marchal, Djalil Chafai
Statistics Team of LJAD : Yannick Baraud, Christine Tuleau, Thomas Laloë
Others
: Christian Houdré, Marie Doumic, Marc Hoffmann, Niels Richard Hansen
Mathematics and Biology at LJAD
Course on point processes : 1, 2, 3, 4.