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34.
B. Bercu, J. F. Bony and V. Bruneau, Large deviations for Gaussian stationary processes and semi-classical analysis,
Séminaire de Probabilités, Lecture Notes in Mathematics, 44, 2011.
33.
B. Bercu, T. M. N. Nguyen and J. Saracco, A new approach of recursive and non recursive SIR methods,
Journal of the Korean Statistical Society, 40, 2011.
32.
B. Bercu, L. Coutin
and N.
Savy, Sharp large deviations for the fractional Ornstein-Uhlenbeck
process,
SIAM
Theory of Probability and its Applications,
55, pp. 575-610, 2011.
31.
B. Bercu, I.
Nourdin and M.
S. Taqqu, Almost sure limit theorems on the Wiener space
Stochastic
Processes an their Applications, 120, pp. 1607-1628, 2010.
30.
B.
Bercu and V. Vazquez, A new concept of strong controllability via the
Schur complement for ARX models
in adaptive tracking, Automatica,
46, pp. 1799-1805, 2010.
29.
B.
Bercu and V. Vazquez, On the usefulness of persistent excitation in ARX
adaptive tracking,
International
Journal of Control, 83, pp. 1145-1154, 2010.
28.
B. Bercu, B. de
Saporta and A.
Gégout-Petit,
Asymptotical analysis for bifurcating autoregressive processes via
a martingale approach, Electronic Journal of
Probability, 14, pp. 2492-2526, 2009.
27. B.
Bercu, P. Del
Moral
and A. Doucet, A
functional central
limit theorem for a class of interacting Markov chain
Monte Carlo methods, Electronic Journal of
Probability, 14, pp. 2130-2155, 2009.
26.
B. Bercu, F. Dufour
and G. Yin, Almost
sure
stabilization for feedback controls of regime-switching linear systems
with a
hidden Markov chain, IEEE
Transactions on Automatic Control, 54, pp. 2114-2125, 2009.
25. B.
Bercu, P.
Cenac, G.
Fayolle,
On the almost sure central limit theorem for vector martingales :
convergence of
moments and statistical
applications, Journal
of Applied
Probability, 46, pp. 151-169, 2009.
24.
B. Bercu and B.
Portier, Kernel
density estimation and
goodness-of-fit test in adaptive tracking,
SIAM
Journal on Control and Optimization, 47, pp. 2440-2457, 2008.
23. B.
Bercu and A.
Touati,
Exponential inequalities for
self-normalized martingales with applications,
Annals of Applied
Probability, 18, pp. 1848-1869, 2008.
22.
B. Bercu and J.
C. Fort, A
moment approach
for
the almost sure central limit theorem for martingales,
Studia
Scientiarum Mathematicarum Hungarica, 45, pp. 139-159, 2008.
21.
B. Bercu and W. Bryc,
Asymptotic results
for empirical measures of weighted sums of independent random
variables,
Electronic
Communications in Probability, 12, pp. 184-199, 2007.
20.
B. Bercu, An exponential inequality for autoregressive processes in
adaptive tracking,
Journal of Systems Science and Complexity, 20, pp. 243-250, 2007.
19. B.
Bercu and C.
Prieur,
Spectral properties of chaotic processes,
Stochastics and
Dynamics, 6, pp. 355-371, 2006.
18.
B. Bercu, On the convergence of moments in the almost sure central
limit theorem for martingales with statistical applications,
Stochastic
Processes and their Applications, 111, pp. 157-173, 2004.
17.
B. Bercu, E.
Gassiat
and E. Rio, Concentration inequalities, large and moderate deviations
for
self-normalized empirical processes,
Annals of Probability, 30, pp.
1576
-1604, 2002.
16.
B. Bercu and A.
Rouault, Sharp large deviations for the Ornstein-Uhlenbeck process,
SIAM
Theory of Probability and its Applications, 46, pp. 1-19, 2002.
15.
B. Bercu and B. Portier,
Adaptive control of parametric
nonlinear
autoregressive models via a new martingale approach,
IEEE Transations on
Automatic
Control, 47, pp. 1524-1528, 2002.
14.
B. Bercu and A. Touati, On Hartman's law of iterated logarithm
for explosive Gaussian autoregressive processes,
Probability
and
Mathematical
Statistics, 22, pp. 101-113, 2002.
13.
B. Bercu,
F. Gamboa and M.
Lavielle,
Estimation of marginal and spectral modes,
Journal of
Nonparametric
Statistics,
14, pp. 353-366, 2002.
12.
B. Bercu, On large deviations in the Gaussian autoregressive
process:
stable, unstable and explosive cases,
Bernoulli, 7, pp.
299-316, 2001.
11. B.
Bercu, Weighted estimation and tracking for branching
processes
with immigration,
IEEE Transations on
Automatic Control, 46, pp. 43-50, 2001.
10. B.
Bercu, F.
Gamboa and M.
Lavielle, Sharp large deviations for Gaussian quadratic
forms
with applications,
ESAIM PS, 4, pp. 1-24, 2000.
09. B. Bercu,
Weighted estimation and tracking for Benaymé
Galton Watson processes with adaptive control,
Statistics
&
Probability
Letters, 42, pp. 415- 421, 1999.
08. B. Bercu, Central
limit theorem and law of iterated logarithm
for the least squares algorithms in adaptive tracking,
SIAM
Journal on Control and Optimization, 36, pp. 910-928, 1998.
07. B. Bercu, F.
Gamboa and A. Rouault,
Large deviations for quadratic forms of stationary Gaussian
processes,
Stochastic
Processes and their Applications, 71, pp. 75-90, 1997.
06. B. Bercu, F.
Gamboa et A.
Rouault, Grandes déviations pour des formes
quadratiques
de processus gaussiens stationnaires,
Note au C.R.A.S.
Paris, T.
322, Série I, pp. 695-698, 1996.
05. B. Bercu, Weighted
estimation and tracking for ARMAX models,
SIAM
Journal on Control and Optimization, 33, pp. 89-106, 1995.
04. B. Bercu,
Théorème de limite centrale et loi du
logarithme itéré pour les algorithmes des moindres
carrés
en poursuite adaptative,
Note au C.R.A.S.
Paris, T. 320, Série
I,
pp. 493-496, 1995.
03. B. Bercu et M.
Duflo, Moindres carrés
pondérés
et poursuite,
Annales
de l'Institut Henri Poincaré, 28, pp. 403-430,
1992.
02. B. Bercu,
Estimation pondérée et poursuite pour
les modèles ARMAX,
Note au C.R.A.S.
Paris, T. 314, Série
I, pp. 403-406, 1992.
01. B.
Bercu, Sur l'estimateur des moindres carrés
généralisés d'un modèle ARMAX,
Application à l'identification des
modèles ARMA.