Gayraud, Ghislaine; Ingster, Yuri Detection of sparse additive functions. (English) Zbl 1295.62062 Electron. J. Stat. 6, 1409-1448 (2012). MSC: 62H15 60G15 62G10 62G20 62C20 PDFBibTeX XMLCite \textit{G. Gayraud} and \textit{Y. Ingster}, Electron. J. Stat. 6, 1409--1448 (2012; Zbl 1295.62062) 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
Ingster, Yu. I. Asymptotically minimax hypothesis testing for nonparametric alternatives. I. (English) Zbl 0798.62057 Math. Methods Stat. 2, No. 2, 85-114 (1993). MSC: 62G10 62G20 62C20 PDFBibTeX XMLCite \textit{Yu. I. Ingster}, Math. Methods Stat. 2, No. 2, 85--114 (1993; Zbl 0798.62057)
Ingster, Yu. I. Minimax signal detection in \(l_ p\)-metrics. (Russian) Zbl 0738.94005 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 184, 152-168 (1990). Reviewer: D.Stanomir (Bucureşti) MSC: 94A13 62C20 60G35 PDFBibTeX XMLCite \textit{Yu. I. Ingster}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 184, 152--168 (1990; Zbl 0738.94005) Full Text: EuDML
Ingster, Yu. I. Minimax detection of a signal in \(l_ p\)-metrics. (English. Russian original) Zbl 0836.94010 J. Math. Sci., New York 68, No. 4, 503-515 (1990); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 184, 152-168 (1990). MSC: 94A13 62C20 60G35 PDFBibTeX XMLCite \textit{Yu. I. Ingster}, J. Math. Sci., New York 68, No. 4, 503--515 (1990; Zbl 0836.94010); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 184, 152--168 (1990) Full Text: DOI
Ingster, Yu. I. Minimax testing of a simple hypothesis against a weakly nonparametric set of alternatives. (English. Russian original) Zbl 0714.62039 Theory Probab. Appl. 33, No. 3, 552-556 (1988); translation from Teor. Veroyatn. Primen. 33, No. 3, 592-596 (1988). MSC: 62G10 62G20 62M07 PDFBibTeX XMLCite \textit{Yu. I. Ingster}, Theory Probab. Appl. 33, No. 3, 552--556 (1988; Zbl 0714.62039); translation from Teor. Veroyatn. Primen. 33, No. 3, 592--596 (1988) Full Text: DOI
Ingster, Yu. I. Asymptotic regularity of a family of measures corresponding to a Gaussian random process which contains a white noise component for a parametric family of spectral densities. (English) Zbl 0528.62072 J. Sov. Math. 25, 1165-1181 (1984). MSC: 62M09 62F12 60G15 62M99 62M07 62B99 PDFBibTeX XMLCite \textit{Yu. I. Ingster}, J. Sov. Math. 25, 1165--1181 (1984; Zbl 0528.62072) Full Text: DOI
Ingster, Yu. I. The asymptotic regularity of the family of measures corresponding to a Gaussian stochastic process, containing a white noise component in the case of a finite-dimensional family of spectral densities. (Russian) Zbl 0486.62092 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 108, 89-110 (1981). MSC: 62M09 62F12 60G15 62M07 62M99 PDFBibTeX XMLCite \textit{Yu. I. Ingster}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 108, 89--110 (1981; Zbl 0486.62092) Full Text: EuDML