Version Française

Université Fédérale Toulouse Midi-Pyrénées Institut National Polytechnique de Toulouse    (FRANCE)    et SO - Institut de Mathématiques de Toulouse

Address:          2 rue Camichel, BP 7122          31071 Toulouse cédex 7           France          Telephone: +33 (0) 534 32 25 69

Class Offerings:
 

•    Lebesgue 's theory of integration. Harmonic analysis. Theory of Generalized Functions.
•    Probability Theory.
•    Estimation and tests of statistical hypotheses.
•    Time Series analysis.

• Mixture of Distributions: estimation, tests of hypotheses, asymptotics of the likelihood ratio test, reversible jump Markov chain Monte Carlo.
• Time Series Analysis: measure of dependence between stable laws, identification of stable processes, rank-based autocorrelation.
• Sequential Tests
• Industrial Statistics

Education:

• Doctoral Thesis (1976), University Joseph Fourier, Grenoble;
• DSc (1983), Applied mathematics, University Joseph Fourier, Grenoble.

Honors and Awards:

• Elected member: International Statistical Institute

Editorial Responsibilities:

•   Coordinating Editor: Journal of Statistical Planning and Inference  (2005-2012)
•   Associate Editor:       Advances in Statistical Analysis (AStA)  (2006-2009)    

• Elected member of the Scientific (Research) Council of the National Polytechnic Institute of Toulouse (2012-2016).
• Elected member of the Council of the French Statistical Society (SFdS) (2012-2015).
• Chair of the Fourth Meeting of Young Statisticians, Aussois,  September 05 - 09,  2011.
• Invited speaker, 2008 JES (a regular one week workshop in Luminy).
• Co-Chair 3rd world conference on Computational Statistics & Data Analysis, Limassol, Cyprus, 28-31 October, 2005
• Referee of the 36th meeting of the French Statistical Society ( Montpellier, May 2004)
• Member of the committee of program of the 10th meeting of the French Classification Society (Neuchatel, September 2003).
• Elected member of  specialists committees (Applied mathematics).

Published Books:

• Mathematical Hazard Models , (In French) Ellipses (2018)
• Latent variable Models and mixture Models , (Co-author, In French) Published by SFdS, Technip (2013)
• Stochastic and Statistical Modelling ( In French), CEPADUES Editions, (2002)

Important Research Publications:

• Chauveau D., Garel B. and Mercier S. (2019) : Testing for univariate two-component Gaussian mixture in practice. Journal de la Société Française de Statistique, Vol. 160,1, 86-113.
• Garel B. and Kodia B. (2014) : Estimation and comparison of signed symmetric covariation coefficient and generalized association parameter for alpha-stable dependence modeling. Communication in Statistics, 43, 5156-5174.
• Garel B. and Kodia B. (2009) : Signed symmetric covariation coefficient for alpha-stable dependence modeling. Comptes Rendus Acad. Sciences, t. 347, série I, 315-320.
• Boucharel J., Dewitte B., Garel B. and du Penhoat Y. (2009) : Non-stationary and non-Gaussian characters of ENSO: the role of climate shift. Nonlinear Processes in Geophysics.
• Garel B. and Massé J.C. (2009): Calculation of the Prokhorov distance by optimal quantization and maximum flow. Advances in Statistical Analysis, 93: 73-88.
  
• Garel B. (2007): Recent asymptotic results in testing for mixtures. Computational Statistics & Data Analysis (CSDA) 51, 5295-5304.
  
• Garel B. (2005): Asymptotic theory of the likelihood ratio test for the identification of a mixture. Journal of Statistical Planning and Inference (JSPI), 131(2), 271-296.
• Garel B., d’Estampes L. and Tjostheim D. (2004) : Revealing some unexpected dependence properties of linear combinations of stable random variables using symmetric covariations. Communications in Statistics, Theory and Methods, vol. 33 (4), 769-786.
• Garel B. & Goussanou F. (2002) : Removing the separation condition in a 1 against 3-components Gaussian mixture problem. In “Classification, Clustering and Data Analysis”, K. Jajuga, A. Sokolowski and H-H. Bock Eds., Springer, 61-73..
• Garel B. (2001) : Likelihood Ratio Test for Univariate Gaussian Mixture. Journal of Statistical Planning and Inference (JSPI), 96(2), 325-350
• Garel B. and Hallin M. (2000) : Rank-based partial correlograms are not asymptotically distribution free. Statistics and Probability Letters, 47, 219-228.
• Garel B. and Hallin M. (1999) : Rank-based AR order identification. Journal of the American Statistical Association  (JASA), 94, 1357-1371.
• Ghogho M., Swami A. and Garel B. (1999) :  Performance analysis of cyclic statistics  for  the estimation of harmonics in multiplicative and additive noise. IEEE Transactions on Signal Processing, 47(12), 3235-3249.
• Ghogho M. and Garel B. (1999) : Maximum likelihood estimation of  amplitude-modulated time series. Signal Processing, 75, n° 2, 99-116.
• Barbe P., Doisy M. and Garel B. (1998) : Last passage time for the empirical mean of some mixing processes. Statistics and Probability Letters, 40, 237-245.
• Ghogho M., Garel B.(1998) : Locally optimum detectors for deterministic signal in multiplicative noise. IEEE International Conference on Acoustics, Speech and Signal Processing , ICASSP Seatle (USA), p. 2137-2141.
• Carbon M., Garel B. and Tran L.T. (1997) : Frequency polygons for weakly dependent processes. Statistics and Probability Letters, 33, 1-13.
• Ghogho M., Garel B.(1997) : Optimal cyclic statistics for the estimation of harmonics in multiplicative and additive noise.  ICASSP Munich, p. 3997-4000.
• Ghogho M., Garel B.(1996) :  On AR modulated harmonics: Cramer Rao Bound and parameter estimation . ICASSP Atlanta, U.S.A., p. 2507-2510
• Berdaï A. and Garel B. (1996) : Detecting a univariate normal mixture with two components.  Statistics and Decision, 14, 35-51.
• Garel B. and Hallin M. (1995) : Local asymptotic normality of multivariate ARMA processes with a linear trend.  Annals of the Institute of Statistical Mathematics , 47, 551-579.
• Garel B. (1989) : The asymptotic distribution of the likelihood ratio for M.A. processes with a regression trend . Statistics and Decision, 7, 167-184.
• J. Cosnes, B. Garel, H. Tello, D. Evard, J.P. Gendre, M. Le Quintrec  and Y. Le Quintrec (1989) : Development of an index to assess the efficacy of nutritional support in gastro-intestinal patients. Clinical Nutrition, 7, 25-32.