Efromovich, Sam Sharp lower bound for regression with measurement errors and its implication for ill-posedness of functional regression. (English) Zbl 07751584 Math. Methods Stat. 32, No. 3, 209-221 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{S. Efromovich}, Math. Methods Stat. 32, No. 3, 209--221 (2023; Zbl 07751584) Full Text: DOI
Efromovich, Sam Nonparametric bivariate density estimation for censored lifetimes. (English) Zbl 07628840 Ann. Stat. 50, No. 5, 2767-2792 (2022). MSC: 62F35 62G05 62J05 PDFBibTeX XMLCite \textit{S. Efromovich}, Ann. Stat. 50, No. 5, 2767--2792 (2022; Zbl 07628840) Full Text: DOI
Palionnaya, S. I. Rate of convergence of the risk estimate distribution to the normal law using FDR multiple hypothesis testing with inverting linear homogeneous operators. (English. Russian original) Zbl 07626311 Mosc. Univ. Comput. Math. Cybern. 46, No. 3, 156-162 (2022); translation from Vestn. Mosk. Univ., Ser. XV 2022, No. 3, 65-71 (2022). MSC: 62Gxx 94Axx 42Cxx PDFBibTeX XMLCite \textit{S. I. Palionnaya}, Mosc. Univ. Comput. Math. Cybern. 46, No. 3, 156--162 (2022; Zbl 07626311); translation from Vestn. Mosk. Univ., Ser. XV 2022, No. 3, 65--71 (2022) Full Text: DOI
Goldenshluger, Alexander; Lepski, Oleg V. Minimax estimation of norms of a probability density. II: Rate-optimal estimation procedures. (English) Zbl 07526579 Bernoulli 28, No. 2, 1155-1178 (2022). MSC: 62Gxx 62Mxx 62Fxx PDFBibTeX XMLCite \textit{A. Goldenshluger} and \textit{O. V. Lepski}, Bernoulli 28, No. 2, 1155--1178 (2022; Zbl 07526579) Full Text: DOI arXiv Link
Goldenshluger, Alexander; Lepski, Oleg V. Minimax estimation of norms of a probability density. I: Lower bounds. (English) Zbl 07526578 Bernoulli 28, No. 2, 1120-1154 (2022). MSC: 62Gxx 62Mxx 94Axx PDFBibTeX XMLCite \textit{A. Goldenshluger} and \textit{O. V. Lepski}, Bernoulli 28, No. 2, 1120--1154 (2022; Zbl 07526578) Full Text: DOI arXiv Link
Amorino, Chiara Rate of estimation for the stationary distribution of jump-processes over anisotropic Hölder classes. (Rate of estimation for the stationary distribution of jump-processes over anisotropic Holder classes.) (English) Zbl 1493.62184 Electron. J. Stat. 15, No. 2, 5067-5116 (2021). MSC: 62G07 62G20 60J74 PDFBibTeX XMLCite \textit{C. Amorino}, Electron. J. Stat. 15, No. 2, 5067--5116 (2021; Zbl 1493.62184) Full Text: DOI arXiv Link
Amorino, Chiara; Gloter, Arnaud Joint estimation for volatility and drift parameters of ergodic jump diffusion processes via contrast function. (English) Zbl 1469.62324 Stat. Inference Stoch. Process. 24, No. 1, 61-148 (2021). MSC: 62M05 60J60 60H10 PDFBibTeX XMLCite \textit{C. Amorino} and \textit{A. Gloter}, Stat. Inference Stoch. Process. 24, No. 1, 61--148 (2021; Zbl 1469.62324) Full Text: DOI arXiv HAL
Amorino, Chiara; Gloter, Arnaud Invariant density adaptive estimation for ergodic jump-diffusion processes over anisotropic classes. (English) Zbl 1465.62067 J. Stat. Plann. Inference 213, 106-129 (2021). MSC: 62G07 62H12 60J60 60J76 60H10 PDFBibTeX XMLCite \textit{C. Amorino} and \textit{A. Gloter}, J. Stat. Plann. Inference 213, 106--129 (2021; Zbl 1465.62067) Full Text: DOI arXiv
Koltchinskii, Vladimir Asymptotically efficient estimation of smooth functionals of covariance operators. (English) Zbl 1461.62068 J. Eur. Math. Soc. (JEMS) 23, No. 3, 765-843 (2021). MSC: 62H12 62H25 62G20 60B20 PDFBibTeX XMLCite \textit{V. Koltchinskii}, J. Eur. Math. Soc. (JEMS) 23, No. 3, 765--843 (2021; Zbl 1461.62068) Full Text: DOI arXiv
Han, Yanjun; Jiao, Jiantao; Mukherjee, Rajarshi On estimation of \(L_r\)-norms in Gaussian white noise models. (English) Zbl 1445.62072 Probab. Theory Relat. Fields 177, No. 3-4, 1243-1294 (2020). MSC: 62G07 62G20 62R10 60H40 41A10 30H25 PDFBibTeX XMLCite \textit{Y. Han} et al., Probab. Theory Relat. Fields 177, No. 3--4, 1243--1294 (2020; Zbl 1445.62072) Full Text: DOI arXiv
Lepski, O. V. A new approach to estimator selection. (English) Zbl 1419.62016 Bernoulli 24, No. 4A, 2776-2810 (2018). MSC: 62B15 62G07 PDFBibTeX XMLCite \textit{O. V. Lepski}, Bernoulli 24, No. 4A, 2776--2810 (2018; Zbl 1419.62016) Full Text: DOI Euclid
Chagny, Gaëlle An introduction to nonparametric adaptive estimation. (English) Zbl 1497.62078 Grad. J. Math. 1, No. 2, 105-120 (2016). MSC: 62G05 62G07 PDFBibTeX XMLCite \textit{G. Chagny}, Grad. J. Math. 1, No. 2, 105--120 (2016; Zbl 1497.62078) Full Text: Link
Babilua, P. K.; Nadaraya, È. A.; Sokhadze, G. A. Verification of the hypotheses on the equality of densities of the distributions. (English. Russian original) Zbl 1498.62091 Ukr. Math. J. 68, No. 5, 661-678 (2016); translation from Ukr. Mat. Zh. 68, No. 5, 586-600 (2016). MSC: 62G10 PDFBibTeX XMLCite \textit{P. K. Babilua} et al., Ukr. Math. J. 68, No. 5, 661--678 (2016; Zbl 1498.62091); translation from Ukr. Mat. Zh. 68, No. 5, 586--600 (2016) Full Text: DOI
Rebelles, G. Structural adaptive deconvolution under \({\mathbb{L}_p}\)-losses. (English) Zbl 1342.62054 Math. Methods Stat. 25, No. 1, 26-53 (2016). MSC: 62G07 62G20 PDFBibTeX XMLCite \textit{G. Rebelles}, Math. Methods Stat. 25, No. 1, 26--53 (2016; Zbl 1342.62054) Full Text: DOI arXiv
Chui, Charles K.; Mhaskar, H. N. Signal decomposition and analysis via extraction of frequencies. (English) Zbl 1330.94013 Appl. Comput. Harmon. Anal. 40, No. 1, 97-136 (2016). MSC: 94A12 62M10 65P99 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{H. N. Mhaskar}, Appl. Comput. Harmon. Anal. 40, No. 1, 97--136 (2016; Zbl 1330.94013) Full Text: DOI
Belyaev, M. G. Anisotropic smoothing splines in problems with factorial design of experiments. (English. Russian original) Zbl 1358.65011 Dokl. Math. 91, No. 2, 250-253 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 5, 521-524 (2015). Reviewer: Fabio Rapallo (Alessandria) MSC: 65C50 65D07 62K15 62F10 PDFBibTeX XMLCite \textit{M. G. Belyaev}, Dokl. Math. 91, No. 2, 250--253 (2015; Zbl 1358.65011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 5, 521--524 (2015) Full Text: DOI
Chichignoud, Michaël; Loustau, Sébastien Bandwidth selection in kernel empirical risk minimization via the gradient. (English) Zbl 1317.62026 Ann. Stat. 43, No. 4, 1617-1646 (2015). MSC: 62G05 62G20 62G08 62H30 PDFBibTeX XMLCite \textit{M. Chichignoud} and \textit{S. Loustau}, Ann. Stat. 43, No. 4, 1617--1646 (2015; Zbl 1317.62026) Full Text: DOI arXiv Euclid
Efromovich, Sam Nonparametric regression with the scale depending on auxiliary variable. (English) Zbl 1292.62057 Ann. Stat. 41, No. 3, 1542-1568 (2013). MSC: 62G07 62C05 62E20 PDFBibTeX XMLCite \textit{S. Efromovich}, Ann. Stat. 41, No. 3, 1542--1568 (2013; Zbl 1292.62057) Full Text: DOI arXiv Euclid
Ingster, Yuri; Stepanova, Natalia Estimation and detection of functions from anisotropic Sobolev classes. (English) Zbl 1274.62319 Electron. J. Stat. 5, 484-506 (2011). MSC: 62G10 62G20 PDFBibTeX XMLCite \textit{Y. Ingster} and \textit{N. Stepanova}, Electron. J. Stat. 5, 484--506 (2011; Zbl 1274.62319) Full Text: DOI Euclid
Wolpert, Robert L.; Clyde, Merlise A.; Tu, Chong Stochastic expansions using continuous dictionaries: Lévy adaptive regression kernels. (English) Zbl 1227.62030 Ann. Stat. 39, No. 4, 1916-1962 (2011). MSC: 62G08 62M40 62F15 62G07 65C05 42C40 PDFBibTeX XMLCite \textit{R. L. Wolpert} et al., Ann. Stat. 39, No. 4, 1916--1962 (2011; Zbl 1227.62030) Full Text: DOI arXiv
Goldenshluger, Alexander; Lepski, Oleg Bandwidth selection in kernel density estimation: oracle inequalities and adaptive minimax optimality. (English) Zbl 1234.62035 Ann. Stat. 39, No. 3, 1608-1632 (2011). MSC: 62G07 62G20 62G05 PDFBibTeX XMLCite \textit{A. Goldenshluger} and \textit{O. Lepski}, Ann. Stat. 39, No. 3, 1608--1632 (2011; Zbl 1234.62035) Full Text: DOI arXiv
Vovk, Vladimir Competing with wild prediction rules. (English) Zbl 1470.68193 Mach. Learn. 69, No. 2-3, 193-212 (2007). MSC: 68T05 62M20 68W27 PDFBibTeX XMLCite \textit{V. Vovk}, Mach. Learn. 69, No. 2--3, 193--212 (2007; Zbl 1470.68193) Full Text: DOI
Efromovich, Sam Estimation of the density of regression errors. (English) Zbl 1086.62053 Ann. Stat. 33, No. 5, 2194-2227 (2005). MSC: 62G08 62G20 62G07 PDFBibTeX XMLCite \textit{S. Efromovich}, Ann. Stat. 33, No. 5, 2194--2227 (2005; Zbl 1086.62053) Full Text: DOI arXiv
Stein, Michael L. Equivalence of Gaussian measures for some nonstationary random fields. (English) Zbl 1057.60034 J. Stat. Plann. Inference 123, No. 1, 1-11 (2004). Reviewer: Zdzisław Rychlik (Lublin) MSC: 60G15 62M20 60G30 PDFBibTeX XMLCite \textit{M. L. Stein}, J. Stat. Plann. Inference 123, No. 1, 1--11 (2004; Zbl 1057.60034) Full Text: DOI
Khas’minskij, R. Z.; Ibragimov, I. A. Asymptotically efficient nonparametric estimation of functionals of a spectral density function. (English) Zbl 0595.62037 Probab. Theory Relat. Fields 73, 447-461 (1986). MSC: 62G05 62G20 62M10 PDFBibTeX XMLCite \textit{R. Z. Khas'minskij} and \textit{I. A. Ibragimov}, Probab. Theory Relat. Fields 73, 447--461 (1986; Zbl 0595.62037) Full Text: DOI