C. Butucea, Goodness-of-fit testing and quadratic functional estimation from indirect observations, The Annals of Statistics, vol.35, issue.5, pp.1907-1930, 2007.
DOI : 10.1214/009053607000000118
URL : https://hal.archives-ouvertes.fr/hal-00204453

T. T. Cai and M. G. Low, Nonquadratic estimators of a quadratic functional, The Annals of Statistics, vol.33, issue.6
DOI : 10.1214/009053605000000147

T. T. Cai and M. G. Low, Optimal adaptive estimation of a quadratic functional, The Annals of Statistics, vol.34, issue.5, pp.2298-2325, 2006.
DOI : 10.1214/009053606000000849

L. Cavalier, G. K. Golubev, D. Picard, and A. B. Tsybakov, Oracle inequalities for inverse problems, The Annals of Statistics, vol.30, issue.3, pp.843-874, 2002.
DOI : 10.1214/aos/1028674843

L. Cavalier, Y. Golubev, O. Lepski, and A. Tsybakov, Block Thresholding and Sharp Adaptive Estimation in Severely Ill-Posed Inverse Problems, Theory of Probability & Its Applications, vol.48, issue.3, pp.3-534, 2003.
DOI : 10.1137/S0040585X97980555
URL : https://hal.archives-ouvertes.fr/hal-00103048

D. L. Donoho and M. Nussbaum, Minimax quadratic estimation of a quadratic functional, Journal of Complexity, vol.6, issue.3, pp.290-323, 1990.
DOI : 10.1016/0885-064X(90)90025-9

S. Efromovich and M. Low, On optimal adaptive estimation of a quadratic functional, The Annals of Statistics, vol.24, issue.3, pp.1106-1125, 1996.
DOI : 10.1214/aos/1032526959

J. Fan, On the Estimation of Quadratic Functionals, The Annals of Statistics, vol.19, issue.3, pp.1273-1294, 1991.
DOI : 10.1214/aos/1176348249

Y. Golubev, The principle of penalized empirical risk in severely ill-posed problems, Probability Theory and Related Fields, vol.130, issue.1, pp.18-38, 2004.
DOI : 10.1007/s00440-004-0362-y

?. Has, R. Z. Minski?-i, and I. A. Ibragimov, Some estimation problems for stochastic differential equations, Stochastic differential systems (Proc. IFIP- WG 7/1 Working Conf., Vilnius, pp.1-12, 1978.

I. A. Ibragimov, A. S. Nemirovski?-i, K. ?. Minski?-i, and R. Z. , Some Problems on Nonparametric Estimation in Gaussian White Noise, Theory of Probability & Its Applications, vol.31, issue.3, pp.3-451, 1986.
DOI : 10.1137/1131054

J. Klemelä, Sharp adaptive estimation of quadratic functionals, Probability Theory and Related Fields, vol.134, issue.4, pp.539-564, 2006.
DOI : 10.1007/s00440-005-0447-2

B. Laurent, Adaptive estimation of a quadratic functional of a density by model selection, ESAIM: Probability and Statistics, vol.9, pp.1-18, 2005.
DOI : 10.1051/ps:2005001

K. Méziani, Nonparametric estimation of the purity of a quantum state in quantum homodyne tomography with noisy data, Mathematical Methods of Statistics, vol.16, issue.4, pp.354-368, 2007.
DOI : 10.3103/S1066530707040047