Papers available in electronic format

• Nussbaum, M., Spline smoothing in regression models and asymptotic efficiency in L ₂.  Ann. Statist. 13 984-997 (1985) . pdf
• Golubev, G. and Nussbaum, M., A risk bound in Sobolev class regression.   Ann. Statist. 18 758-778 (1990). pdf
• Golubev, G. and Nussbaum, M., Adaptive spline estimates in a nonparametric regression model. (Russian) Teor. Veroyatnost. i Primenen. 37 (1992), no. 3, 554-561; translation in Theory Probab. Appl. 37 (1992), no. 3, 521-529 pdf
• Nussbaum, M., Asymptotic equivalence of density estimation and Gaussian white noise. Ann. Statist. 24, 2399-2430 (1996 ). pdf The corresponding preprint contains one more section than the published paper, on  application to asymptotics of estimation risk
• Hall, P.,  Nussbaum, M., Stern, S. E. : On the estimation of a support curve of indeterminate sharpness. J. Multivariate Analysis, 62 (2), 204-232 (1997).  pdf    Contains one more section than the published paper, with detailed discussions.
• Grama, I  and Nussbaum, M: Asymptotic equivalence for nonparametric generalized linear models. Prob. Theor. Rel. Fields, 111 (1998), 167-214 pdf
• Milstein, G.  and Nussbaum, M., Diffusion approximation for nonparametric autoregression.   Prob. Theor. Rel. Fields 112 (1998),  535-543. pdf
• Korostelev, A. and Nussbaum, M., The asymptotic minimax constant for sup-norm loss in nonparametric density estimation. Bernoulli 5 (1999) 1099-1118 pdf
• Nussbaum, M., Minimax risk: Pinsker bound. In: Encyclopedia of Statistical Sciences, Update Volume 3, 451-460 (S. Kotz, Ed.) 1999. Wiley, New York.  Survey paper written as an Encyclopedia entry. pdf
• Milstein. G.  and Nussbaum, M., Maximum likelihood estimation of a nonparametric signal in white noise by optimal control.  Statistics and Probability Letters, 55 (2) 193-203 (2001) pdf
• Genon-Catalot, V, Laredo, C. and Nussbaum, M., Asymptotic equivalence of estimating a Poisson intensity and a positive diffusion drift.  Ann.  Statist. 30     731-753 (2002)     pdf
• Grama, I  and Nussbaum, M., Asymptotic equivalence for nonparametric regression. Mathematical  Methods of Statistics  11 (1) 1-36 (2002) pdf
• Grama, I  and Nussbaum, M., A functional Hungarian construction for sums of independent random variables. Annales de l'Institut Henri Poincare, Probabilites et Statistiques, 38 (6) pp. 923-957 (2002) pdf    Based on the preprint A nonstandard Hungarian construction for partial sums. WIAS-preprint No. 324, 1997, Weierstrass Institute, Berlin
• Jaehnisch, M.  and Nussbaum, M., Asymptotic equivalence for a model of independent non identically distributed observations.  Statistics & Decisions 21 197-218 (2003) pdf
• Nussbaum, M., Equivalence asymptotique des experiences statistiques. (Survey paper in French). Journal de la Societe francaise de Statistique 145 (1) 31-45 (2004) pdf
• Jaehnisch, M.  and Nussbaum, M., A functional Hungarian construction for the sequential empirical process, C.R. Acad. Sci. Paris, Ser. I 341 761-763 (2005) pdf
• Audenaert, K. M. R., Nussbaum, M., Szkoła, A. and Verstraete, F., Asymptotic error rates in quantum hypothesis testing. Commun. Math. Phys. 279 (1) 251-283 (2008) pdf
• Nussbaum, M. and Szkoła, A., The Chernoff lower bound for symmetric quantum hypothesis testing. Ann. Statist. 37 (2) 1040-1057 (2009)  pdf
• Golubev, G. K.,  Nussbaum, M. and Zhou,  H. H.,  Asymptotic equivalence of spectral density estimation and Gaussian white noise, Ann.  Statist. 38 (1) 181-214 (2010)  pdf The corresponding preprint contains more detailed proofs
• Nussbaum, M. and Szkoła, A., Exponential error rates in multiple state discrimination on a quantum spin chain, J. Math. Phys. 51 072203 (2010)  pdf
• Nussbaum, M. and Szkoła, A., Asymptotically optimal discrimination between multiple pure quantum states. Submitted.  pdf