Cristina BUTUCEA

Grade : Professeur des Universités (CMC-ENSAE)


Bureau:
E41
Timbre:
J340
Lieu:
(MK1)
Labo:
LS

Téléphone : 0141175110

Mail : butucea.cristina[arrowbase]ensae.fr

ResearchEducationJobsPublicationsTeachingWork in progressOtherLinks

Research Interests

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Nonparametric and semiparametric estimation

Estimation of functionals of the probability density, of the Wigner function

 Inverse problems: convolution models, errors-in-variables regresion models, tomography

Nonparametric tests

 Quantum statistics


Biography

Education

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HDR 2005

Doctorat en Statistique de l'Université Paris 6 1999

Actuaire ISUP 1995 - Membre de l'Institut des Actuaires depuis 2010


Jobs

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Professeur à l'ENSAE, depuis 2016

Professeur à l'Université Paris-Est Marne-la-Vallée, depuis 2010

Professeur à l'Université Lille 1, 2007-2010

Maitre de Conférences à l'Université Paris X Nanterre, 1999-2007



Publications

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  1. C. Butucea, M. Guta and M. Nussbaum Local asymptotic equivalence of pure quantum states ensembles and quantum Gaussian white noise (2017) arxiv:1705.034445
  2. C. Butucea, J.-F. Delmas, A. Dutfoy, R. Fischer: Fast adaptive estimation of log-additive exponential models in Kullback-Leibler divergence, (2016) arxiv:1604.06304
  3. C. Butucea, R. Zgheib Adaptive test for large covariance matrices with missing observations (2016), ALEA, to appear;
  4. C. Butucea, J.-F. Delmas, A. Dutfoy, R. Fischer: Optimal exponential bounds for aggregation of estimators for the Kullback-Leibler loss, (2017), Electronic J. Statist., 11, (1), 2258-2294;
  5. C. Butucea, N. Stepanova and A. B. Tsybakov Variable selection with Hamming loss, (2015) Ann. Statist., to appear;
  6. C. Butucea, J.-F. Delmas, A. Dutfoy, R. Fischer: Maximum entropy distribution of order statistics with given marginals, (2015) arxiv:1509.02019, Bernoulli, to appear;
  7. C. Butucea, N. Stepanova Adaptive variable selection in nonparametric sparse additive models (2017), Electronic J. Statist., 11, (1), 2321-2357;
  8. C. Butucea, R. Ngueyep Tzoumpe, P. Vandekerkhove: Semiparametric topographical mixture models with symmetric errors, (2017) Bernoulli, 23, (2), 825-862;
  9. C. Butucea, R. Zgheib Sharp minimax tests for large Toeplitz covariance matrices with repeated observations (2016) J. Multivariate Anal. 146, 164–176;
  10. C. Butucea, M. Guta and T. Kypraios Spectral thresholding quantum tomography for low rank states, arxiv:1504, (2015);New Journal of Physics, 17, (11), 113050, fileCorrigendum (2016) New Journal of Physics, (18), 069501;
  11. C. Butucea, R. Zgheib: Sharp minimax tests for large covariance matrices,  (2016); Electronic J. Statist., 2, 1927-1972
  12. C. Butucea et G. Gayraud: Sharp detection of smooth signals in a high-dimensional sparse matrix with indirect observations, (2016) Annales de l'Institut Henri Poincaré, "Probabilités & Statistiques", Vol. 52, 4, 1564-1591;
  13. C. Butucea, J.-F. Delmas, A. Dutfoy, R. Fischer: Maximum entropy copula with given diagonal section, (2015) J. Multivariate Analysis, Vol. 137, 61-81;
  14. F. Balabdaoui, C. Butucea: On location mixtures with Polya frequency components, (2014) Statistics and probability letters, Vol. 95, 144-149
  15. C. Butucea, Yu. I. Ingster, I. Suslina: Sharp variable selection of a sparse submatrix in a high-dimensional noisy matrix (2014) ESAIM P&S, in press;
  16. C. Butucea and P. Vandekerkhove: Semiparametric mixture of symmetric distributions,  (2013) Scandinavian J. Statist., doi: 10.1111/sjos.12015;
  17.  P. Alquier, C. Butucea, M. Hebiri, K. Meziani, T. Morimae: Rank penalized estimation of a quantum system, (2013); Physical Reviews A, Vol. 88, 032113;
  18. C. Butucea and Yu. I. Ingster: Detection of a sparse submatrix of a high-dimensional noisy matrix, (2013); Bernoulli, Vol. 19(5B), 2652-2688;
  19. C. Butucea and K. Meziani: Quadratic functional estimation in inverse problems,  (2011) Statistical Methodology, Vol. 8, 1, 31-41;
  20. C. Butucea and M. Guta: Quantum U-statistics; (2010) (arXiv:1004.2452v2) Journal of Mathematical Physics, Vol. 51, 102202;
  21. C. Butucea and F. Comte: Adaptive estimation of linear functionals in the convolution model and applications; (2009) (hal-00133750); Bernoulli, Vol. 15, 1, 69-98.
  22. C. Butucea, C. Matias and C. Pouet: Adaptive goodness-of-fit testing from indirect observations; (2009) Annales de l'Institut Henri Poincaré, "Probabilités & Statistiques", Vol. 45, 2, 352-372.
  23. J.-M. Aubry, C. Butucea and K. Meziani: State estimation in quantum homodyne tomography with noisy data; (2009) Inverse Problems, Vol. 25, 1, 22pp.
  24. C. Butucea, C. Matias and C. Pouet: Adaptivity issues in convolution models with known or partially known noise distribution(2008) Electronic Journal of Statistics, Vol. 2, pp 897-915;
  25.  C. Butucea and M.-L. Taupin: New M-estimators in semiparametric regression with errors in variables; (2008)  Annales de l'Institut Henri Poincaré, "Probabilités & Statistiques", Vol. 44, 3, pp 393-421;
  26.  C. Butucea and A. B. Tsybakov: Sharp optimality for density deconvolution with dominating bias. I; (2008) Theory of Probability and Its Applications, Vol. 52, 1, pp 111-128;
  27. C. Butucea and A. B. Tsybakov: Sharp optimality for density deconvolution with dominating bias. II; (2008) (arXiv:math.ST/0409471) Theory of Probability and Its Applications, Vol. 52, 2, pp 237-249;
  28. C. Butucea, M. Mougeot and K. Tribouley: Functional approach for excess mass estimation in the density model; (2007) Electronic Journal of Statistics, Vol. 1, pp 449-472;
  29. C. Butucea: Goodness-of-fit testing and quadratic functional estimation from indirect observations; (2007) (arXiv: ST/0612361) Annals of Statistics, Vol. 35, 5, pp 1907-1930;
  30. C. Butucea, M. Guta and L. Artiles: Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data; (2007) (arXiv:math.PR/0504058) Annals of Statistics, Vol. 35, 2, pp 465-494;
  31. C. Butucea and K. Tribouley: Nonparametric homogeneity testsJournal of Statistical Planning and Inference, (2006), Vol. 136, 3, pp 597-639; 
  32. C. Butucea and M. H. Neumann: Exact asymptotics for estimating the marginal density of discretely observed diffusion processes; Bernoulli,(2005), Vol. 11, 3, pp 411-444; 
  33. C. Butucea and C. Matias: Minimax estimation of the noise level and of the signal density in a semiparametric convolution model; Bernoulli, (2005), Vol. 11, 2, pp 309-340; 
  34. C. Butucea: Contribution to Discussion on the meeting on 'Statistical approaches to inverse problems'; J. R. Statist. Soc. B,(2004), Vol. 66, 3, pp 627-652; 
  35. C. Butucea: Asymptotic normality of the integrated square error of a density estimator in the convolution model; Statistics and Operations Research Transactions, (2004), Vol. 28, No. 1, pp 9-26; 
  36. C. Butucea: Deconvolution of supersmooth densities with smooth noise; The Canadian Journal of Statistics, (2004), Vol. 32, No. 2, pp 181-192; 
  37. C. Butucea: Exact adaptive pointwise estimation on Sobolev classes of densities; ESAIM: Probability and Statistics(2001), Vol. 5, pp 1-31; 
  38. C. Butucea: Numerical results concerning a sharp adaptive estimator; Computational Statistics, (2001), Vol. 16, 2, pp 271-298; 
  39. C. Butucea: The adaptive rate of convergence in a problem of pointwise density estimation; Statist. Probab. Lett., (2000), Vol. 47, 1, pp 85-90; 
  40. C. Butucea: Two adaptive rates of convergence in pointwise density estimation; Mathematical Methods of Statistics, (2000), Vol. 9, 1, pp 39-64; 
  41. C. Butucea: Constante exacte adaptive dans l'estimation de la densité; C. R. Acad. Sci. Paris Sér. I Math., (1999), Vol. 329, 6, pp 535-540;


Teaching

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Statistique non paramétrique (Ensae)

Prévision, Valeurs extrêmes (Master IMIS - Marne-la-Vallé)

Statistique paramétrique (M1) et non paramétrique (M2 - Marne-la-Vallée)

 

 


Work in progress

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Other

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Former PhD students:

 

Katia MEZIANI, December 9, 2008; Nonparametric estimation and tests in Quantum Homodyne Tomography

Rania ZGHEIB, May 23, 2016; Minimax nonparametric tests for large covariance matrices

Richard FISCHER, (co-directed with Jean-François DELMAS and Anne DUTFOY), September 30, 2016; Modelling the dependence for order statistics and nonparametric estimation


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My website at the Université Marne-la-Vallée

 

Séminaire de statistique du CREST


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