C. Butucea, M. Guta, M. Nussbaum Local asymptotic equivalence of pure quantum states ensembles and quantum Gaussian white noise. (2017) arxiv:1705.034445

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


  1. C. Butucea, R. Zgheib Adaptive test for large covariance matrices with missing observations (2016) arxiv:1602.04310, ALEA, to appear;

  2. C. Butucea, N. Stepanova Adaptive variable selection in nonparametric sparse additive models (2015) arxiv:1508.06660, Electronic J. Statist., to appear.

  3. 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., Vol. 11, No. 1, 2258-2294

  4. C. Butucea, N. Stepanova, A. B. Tsybakov Variable selection with Hamming loss, (2015) arxiv:1512.01832, Ann. Statist., to appear;

  5. 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;

  6. C. Butucea, R. Ngueyep Tzoumpe, P. Vandekerkhove: Semiparametric topographical mixture models with symmetric errors, (2017), Bernoulli, 23, (2), 825-862;

  7. C. Butucea, R. Zgheib Sharp minimax tests for large covariance matrices (2016), Electronic J. Statist., 2, 1927-1972;

  8. C. Butucea, R. Zgheib: Sharp minimax tests for large Toeplitz covariance matrices with repeated observations, (2016), J. Multivariate Analysis, (146), 164-176;

  9. C. Butucea and G. Gayraud: Sharp detection of smooth signals in a high-dimensional sparse matrix with indirect observations, (2016), Ann. Inst. H. Poincaré Probab. Statisti., 52, (4), 1564-1591

  10. C. Butucea, M. Guta and T. Kypraios Spectral thresholding quantum tomography for low rank states, arxiv:1504.08295, (2015), New Journal of Physics, 17, (11), 113050, file; Corrigendum (2016) New Journal of Physics, 18, 069501;

  11. C. Butucea, J.-F. Delmas, A. Dutfoy, R. Fischer: Maximum entropy copula with given diagonal section, arxiv:1312.5219, (2015), J. Multivariate Analysis, Vol. 137, 61-81;

  12. C. Butucea, Yu. I. Ingster, I. Suslina: Sharp Variable Selection of a Sparse Submatrix in a High-Dimensional Noisy Matrix, arxiv:1303.5647 (2015), ESAIM P&S, 19, 115-134, file;

  13. F. Balabdaoui, C. Butucea: On location mixtures with Polya frequency components, (2014) Statistics and probability letters, Vol. 95, 144-149, file;

  14. P. Alquier, C. Butucea, M. Hebiri, K. Meziani, T. Morimae: Rank penalized estimation of a quantum system, arxiv:1206.1711 (2013) Physical Reviews A, Vol. 88, 032113;

  15. C. Butucea and P. Vandekerkhove: Semiparametric mixture of symmetric distributions, arXiv:1111.2247 (2013); Scandinavian J. Statist. ; doi: 10.1111/sjos.12015

  16. C. Butucea and Yu. I. Ingster: Detection of a sparse submatrix of a high-dimensional noisy matrix, arXiv:1109.0898 (2013) Bernoulli, Vol. 19(5B), 2652-2688; file;

  17. C. Butucea and K. Meziani: Quadratic functional estimation in inverse problems, arXiv:0902.2309 (2011) Statistical Methodology, Vol. 8, 1, 31-41;

  18. M. Guta and C. Butucea: Quantum U-statistics; (2010) J. Mathem. Physics, Vol. 51, 102202;

  19. 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;

  20. 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;

  21. J.-M. Aubry, C. Butucea and K. Meziani: State estimation in quantum homodyne tomography with noisy data; (hal-00273631v1); Inverse Problems, Vol. 25, 1, 22 p.

  22. 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;

  23. 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;

  24. 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;

  25. 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;

  26. 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;

  27. 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;

  28. C. Butucea, M. Guţă 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;

  29. C. Butucea and K. Tribouley: Nonparametric homogeneity testsJournal of Statistical Planning and Inference, (2006), Vol. 136, 3, pp 597-639;

  30. 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;

  31. 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;

  32. 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;

  33. 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;

  34. C. Butucea: Deconvolution of supersmooth densities with smooth noise; The Canadian Journal of Statistics, (2004), Vol. 32, No. 2, pp 181-192;

  35. C. Butucea: Exact adaptive pointwise estimation on Sobolev classes of densities; ESAIM: Probability and Statistics(2001), Vol. 5, pp 1-31;

  36. C. Butucea: Numerical results concerning a sharp adaptive estimator; Computational Statistics, (2001), Vol. 16, 2, pp 271-298;

  37. C. Butucea: The adaptive rate of convergence in a problem of pointwise density estimation; Statist. Probab. Lett., (2000), Vol. 47, 1, pp 85-90;

  38. C. Butucea: Two adaptive rates of convergence in pointwise density estimation; Mathematical Methods of Statistics, (2000), Vol. 9, 1, pp 39-64;

  39. 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;

Membre du projet ANR Dionisos

Membre du projet ANR Spadro

Coordinatrice du projet ANR Jeunes Chercheurs Jeunes Chercheuses Statistique quantique (StatQuant) 2007-2011


Luminy, february 8-12, 2016, invited lecture : Quantum statistical models and inference ; Notes : Introduction to quantum statistical models

C. Butucea: Estimation et tests minimax et adaptatifs, constantes exactes et optimalité pour des modèles de densité directs ou de convolution; (nov. 2005) Habilitation à diriger des recherches, Université Paris 10, Nanterre.

C. Butucea and M. H. Neumann: Exact asymptotics for nonparametric density estimation from dependent data; (1999) Prépublication 99/4, Modal'x, Université Paris 10, Nanterre;

C. Butucea and M. Nussbaum: Asymptotic equivalence of discretely observed geometric Brownian motion to a Gaussian shift; (1999) Discussion Paper 59, SFB 373, Humboldt-Universität zu Berlin ;

C. Butucea: Estimation non paramétrique adaptative de la densité de probabilité; Vitesses de convergence, constante exacte et résultats numériques; (1999) Ph.D. Thesis, Paris 6 .

       Conférences avec actes (Proceedings)