# zbMATH — the first resource for mathematics

## Ingster, Yuriĭ Izmaĭlovich

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 Author ID: ingster.yuri-i Published as: Ingster, Yu.; Ingster, Yu. I.; Ingster, Yuri; Ingster, Yuri I. External Links: Math-Net.Ru · ResearchGate
 Documents Indexed: 61 Publications since 1977, including 1 Book Biographic References: 1 Publication
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#### Co-Authors

 35 single-authored 15 Suslina, Irina A. 3 Sapatinas, Theofanis 3 Stepanova, Natalia A. 3 Tsybakov, Alexandre B. 2 Butucea, Cristina 1 Dalalyan, Arnak S. 1 Gayraud, Ghislaine 1 Kutoyants, Yury A. 1 Laurent, Benoît 1 Marteau, Charles 1 Pouet, Christophe F. 1 Verzelen, Nicolas
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#### Serials

 14 Mathematical Methods of Statistics 10 Journal of Mathematical Sciences (New York) 7 Theory of Probability and its Applications 4 Teoriya Veroyatnosteĭ i eë Primeneniya 4 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 3 Journal of Soviet Mathematics 3 Electronic Journal of Statistics 2 Problems of Information Transmission 2 Zapiski Nauchnykh Seminarov POMI 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 The Annals of Statistics 1 Soviet Mathematics. Doklady 1 Probability Theory and Related Fields 1 Automation and Remote Control 1 Bernoulli 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Lecture Notes in Statistics
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#### Fields

 59 Statistics (62-XX) 11 Probability theory and stochastic processes (60-XX) 9 Information and communication theory, circuits (94-XX) 2 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

54 Publications have been cited 629 times in 286 Documents Cited by Year
Nonparametric goodness-of-fit testing under Gaussian models. Zbl 1013.62049
Ingster, Yu. I.; Suslina, I. A.
2003
Asymptotically minimax hypothesis testing for nonparametric alternatives. I. Zbl 0798.62057
Ingster, Yu. I.
1993
Asymptotically minimax hypothesis testing for nonparametric alternatives. III. Zbl 0798.62059
Ingster, Yu. I.
1993
Detection boundary in sparse regression. Zbl 1329.62314
Ingster, Yuri I.; Tsybakov, Alexandre B.; Verzelen, Nicolas
2010
Some problems of hypothesis testing leading to infinitely divisible distributions. Zbl 0878.62005
Ingster, Yu. I.
1997
Minimax detection of a signal for $$l^ n$$-balls. Zbl 1103.62312
Ingster, Yu. I.
1998
Minimax nonparametric detection of signals in white Gaussian noise. Zbl 0499.94002
Ingster, Yu. I.
1982
Detection of a sparse submatrix of a high-dimensional noisy matrix. Zbl 06254575
Butucea, Cristina; Ingster, Yuri I.
2013
Minimax signal detection in ill-posed inverse problems. Zbl 1297.62097
Ingster, Yuri I.; Sapatinas, Theofanis; Suslina, Irina A.
2012
Minimax testing of nonparametric hypotheses on a distribution density in the $$L_ p$$ metrics. Zbl 0629.62049
Ingster, Yu. I.
1987
Asymptotically minimax hypothesis testing for nonparametric alternatives. II. Zbl 0798.62058
Ingster, Yu. I.
1993
Nonparametric hypothesis testing for intensity of the Poisson process. Zbl 1231.62081
Ingster, Yu. I.; Kutoyants, Yu. A.
2007
Adaptive detection of a signal of growing dimension. II. Zbl 1005.62052
Ingster, Yu. I.
2002
Statistical inference in compound functional models. Zbl 1285.62041
Dalalyan, Arnak; Ingster, Yuri; Tsybakov, Alexandre B.
2014
Estimation and detection of functions from anisotropic Sobolev classes. Zbl 1274.62319
Ingster, Yuri; Stepanova, Natalia
2011
On estimation and detection of infinite-variable functions. Zbl 1088.62103
Ingster, Yu.; Suslina, I.
2005
Adaptive detection of a signal of growing dimension. I. Zbl 1005.62051
Ingster, Yu. I.
2001
Classification of sparse high-dimensional vectors. Zbl 1185.62115
Ingster, Yuri I.; Pouet, Christophe; Tsybakov, Alexandre B.
2009
Estimation and detection of high-variable functions from Sloan-Woźniakowski space. Zbl 1229.62074
Ingster, Yuri; Suslina, Irina
2007
Detection of a signal of known shape in a multichannel system. Zbl 1259.94029
Ingster, Yu. I.; Suslina, I. A.
2002
Ingster, Yu. I.
1997
Minimax signal detection in $$l_ p$$-metrics. Zbl 0738.94005
Ingster, Yu. I.
1990
Detection of sparse additive functions. Zbl 1295.62062
Gayraud, Ghislaine; Ingster, Yuri
2012
Minimax nonparametric testing in a problem related to the Radon transform. Zbl 1308.62092
Ingster, Yu. I.; Sapatinas, T.; Suslina, I. A.
2011
Asymptotically minimax testing of the independence hypothesis. Zbl 0649.62038
Ingster, Yu. I.
1986
Signal detection for inverse problems in a multidimensional framework. Zbl 1308.62091
Ingster, Yu.; Laurent, B.; Marteau, C.
2014
Minimax goodness-of-fit testing in multivariate nonparametric regression. Zbl 1282.62100
Ingster, Yu. I.; Sapatinas, T.
2009
Nonparametric hypothesis testing for small type I errors. I. Zbl 1129.62043
Ingster, Yu. I.; Suslina, I. A.
2004
Minimax detection of a signal for Besov bodies and balls. Zbl 1113.94303
Ingster, Yu. I.; Suslina, I. A.
1998
Minimax testing of hypotheses on the distribution density for ellipsoids in $$l_ p$$. Zbl 0855.62033
Ingster, Yu. I.
1994
Sharp variable selection of a sparse submatrix in a high-dimensional noisy matrix. Zbl 1330.62169
Butucea, Cristina; Ingster, Yuri I.; Suslina, Irina A.
2015
Minimax nonparametric hypothesis testing for ellipsoids and Besov bodies. Zbl 1110.62321
Ingster, Yuri I.; Suslina, Irina A.
2000
Minimax testing of the hypothesis of independence for ellipsoids in $$l_ p$$. Zbl 0852.62042
Ingster, Yu. I.
1993
Asymptotic minimax testing of the independence hypothesis. Zbl 0682.62027
Ingster, Yu. I.
1989
Asymptotically minimax testing of nonparametric hypotheses. Zbl 0685.62044
Ingster, Yu. I.
1987
Asymptotically minimax testing of nonparametric hypotheses concerning the density of an independent sample. Zbl 0561.62006
Ingster, Yu. I.
1984
Estimation and detection of functions from weighted tensor product spaces. Zbl 1282.62119
Ingster, Yu. I.; Stepanova, N.
2009
On minimax distinguishability of families of nonparametric hypotheses. Zbl 0524.62045
Ingster, Yu. I.
1982
Adaptive variable selection in nonparametric sparse regression. Zbl 1311.62056
Ingster, Yu.; Stepanova, N.
2014
Minimax nonparametric goodness-of-fit testing. Zbl 05280099
Ingster, Yuri I.; Suslina, Irina A.
2003
On testing a hypothesis which is close to a simple hypothesis. Zbl 1043.62040
Ingster, Yu. I.
2000
Minimax detection of a signal for nondegenerate loss functions, and extremal convex problems. Zbl 0935.62054
Ingster, Yu. I.
1996
Minimax detection of a signal in $$l_ p$$-metrics. Zbl 0836.94010
Ingster, Yu. I.
1990
Adaptive tests for minimax testing of nonparametric hypotheses. Zbl 0739.62033
Ingster, Yu. I.
1990
Minimax testing of simple hypothesis with a weakly nonparametric set of distributions as the composite alternative. Zbl 0662.62047
Ingster, Yu. I.
1988
On the comparison of the minimax properties of Kolmogorov’s $$\omega ^ 2$$ test and $$\chi ^ 2$$ test. Zbl 0658.62061
Ingster, Yu. I.
1987
On the asymptotic efficiency of testing a simple hypothesis against a composite alternative. Zbl 0495.62030
Ingster, Yu. I.
1982
Detection of a sparse variable function. Zbl 1337.62194
Ingster, Yu. I.; Suslina, I. A.
2015
Estimation and detection of a function from tensor product spaces. Zbl 1288.62051
Ingster, Yu. I.; Suslina, I. A.
2008
Minimax testing for the independence hypothesis for ellipsoids in $$l_ p$$. Zbl 0812.62052
Ingster, Yu. I.
1993
An asymptotic minimax testing of nonparametric hypotheses on the density of the distribution of an independent sample. Zbl 0587.62016
Ingster, Yu. I.
1986
Asymptotically optimal Bayes tests for composite hypotheses. Zbl 0599.62040
Ingster, Yu. I.
1984
Asymptotically optimal Bayesian tests for composite hypotheses. Zbl 0554.62027
Ingster, Yu. I.
1983
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. Zbl 0486.62092
Ingster, Yu. I.
1981
Sharp variable selection of a sparse submatrix in a high-dimensional noisy matrix. Zbl 1330.62169
Butucea, Cristina; Ingster, Yuri I.; Suslina, Irina A.
2015
Detection of a sparse variable function. Zbl 1337.62194
Ingster, Yu. I.; Suslina, I. A.
2015
Statistical inference in compound functional models. Zbl 1285.62041
Dalalyan, Arnak; Ingster, Yuri; Tsybakov, Alexandre B.
2014
Signal detection for inverse problems in a multidimensional framework. Zbl 1308.62091
Ingster, Yu.; Laurent, B.; Marteau, C.
2014
Adaptive variable selection in nonparametric sparse regression. Zbl 1311.62056
Ingster, Yu.; Stepanova, N.
2014
Detection of a sparse submatrix of a high-dimensional noisy matrix. Zbl 06254575
Butucea, Cristina; Ingster, Yuri I.
2013
Minimax signal detection in ill-posed inverse problems. Zbl 1297.62097
Ingster, Yuri I.; Sapatinas, Theofanis; Suslina, Irina A.
2012
Detection of sparse additive functions. Zbl 1295.62062
Gayraud, Ghislaine; Ingster, Yuri
2012
Estimation and detection of functions from anisotropic Sobolev classes. Zbl 1274.62319
Ingster, Yuri; Stepanova, Natalia
2011
Minimax nonparametric testing in a problem related to the Radon transform. Zbl 1308.62092
Ingster, Yu. I.; Sapatinas, T.; Suslina, I. A.
2011
Detection boundary in sparse regression. Zbl 1329.62314
Ingster, Yuri I.; Tsybakov, Alexandre B.; Verzelen, Nicolas
2010
Classification of sparse high-dimensional vectors. Zbl 1185.62115
Ingster, Yuri I.; Pouet, Christophe; Tsybakov, Alexandre B.
2009
Minimax goodness-of-fit testing in multivariate nonparametric regression. Zbl 1282.62100
Ingster, Yu. I.; Sapatinas, T.
2009
Estimation and detection of functions from weighted tensor product spaces. Zbl 1282.62119
Ingster, Yu. I.; Stepanova, N.
2009
Estimation and detection of a function from tensor product spaces. Zbl 1288.62051
Ingster, Yu. I.; Suslina, I. A.
2008
Nonparametric hypothesis testing for intensity of the Poisson process. Zbl 1231.62081
Ingster, Yu. I.; Kutoyants, Yu. A.
2007
Estimation and detection of high-variable functions from Sloan-Woźniakowski space. Zbl 1229.62074
Ingster, Yuri; Suslina, Irina
2007
On estimation and detection of infinite-variable functions. Zbl 1088.62103
Ingster, Yu.; Suslina, I.
2005
Nonparametric hypothesis testing for small type I errors. I. Zbl 1129.62043
Ingster, Yu. I.; Suslina, I. A.
2004
Nonparametric goodness-of-fit testing under Gaussian models. Zbl 1013.62049
Ingster, Yu. I.; Suslina, I. A.
2003
Minimax nonparametric goodness-of-fit testing. Zbl 05280099
Ingster, Yuri I.; Suslina, Irina A.
2003
Adaptive detection of a signal of growing dimension. II. Zbl 1005.62052
Ingster, Yu. I.
2002
Detection of a signal of known shape in a multichannel system. Zbl 1259.94029
Ingster, Yu. I.; Suslina, I. A.
2002
Adaptive detection of a signal of growing dimension. I. Zbl 1005.62051
Ingster, Yu. I.
2001
Minimax nonparametric hypothesis testing for ellipsoids and Besov bodies. Zbl 1110.62321
Ingster, Yuri I.; Suslina, Irina A.
2000
On testing a hypothesis which is close to a simple hypothesis. Zbl 1043.62040
Ingster, Yu. I.
2000
Minimax detection of a signal for $$l^ n$$-balls. Zbl 1103.62312
Ingster, Yu. I.
1998
Minimax detection of a signal for Besov bodies and balls. Zbl 1113.94303
Ingster, Yu. I.; Suslina, I. A.
1998
Some problems of hypothesis testing leading to infinitely divisible distributions. Zbl 0878.62005
Ingster, Yu. I.
1997
Ingster, Yu. I.
1997
Minimax detection of a signal for nondegenerate loss functions, and extremal convex problems. Zbl 0935.62054
Ingster, Yu. I.
1996
Minimax testing of hypotheses on the distribution density for ellipsoids in $$l_ p$$. Zbl 0855.62033
Ingster, Yu. I.
1994
Asymptotically minimax hypothesis testing for nonparametric alternatives. I. Zbl 0798.62057
Ingster, Yu. I.
1993
Asymptotically minimax hypothesis testing for nonparametric alternatives. III. Zbl 0798.62059
Ingster, Yu. I.
1993
Asymptotically minimax hypothesis testing for nonparametric alternatives. II. Zbl 0798.62058
Ingster, Yu. I.
1993
Minimax testing of the hypothesis of independence for ellipsoids in $$l_ p$$. Zbl 0852.62042
Ingster, Yu. I.
1993
Minimax testing for the independence hypothesis for ellipsoids in $$l_ p$$. Zbl 0812.62052
Ingster, Yu. I.
1993
Minimax signal detection in $$l_ p$$-metrics. Zbl 0738.94005
Ingster, Yu. I.
1990
Minimax detection of a signal in $$l_ p$$-metrics. Zbl 0836.94010
Ingster, Yu. I.
1990
Adaptive tests for minimax testing of nonparametric hypotheses. Zbl 0739.62033
Ingster, Yu. I.
1990
Asymptotic minimax testing of the independence hypothesis. Zbl 0682.62027
Ingster, Yu. I.
1989
Minimax testing of simple hypothesis with a weakly nonparametric set of distributions as the composite alternative. Zbl 0662.62047
Ingster, Yu. I.
1988
Minimax testing of nonparametric hypotheses on a distribution density in the $$L_ p$$ metrics. Zbl 0629.62049
Ingster, Yu. I.
1987
Asymptotically minimax testing of nonparametric hypotheses. Zbl 0685.62044
Ingster, Yu. I.
1987
On the comparison of the minimax properties of Kolmogorov’s $$\omega ^ 2$$ test and $$\chi ^ 2$$ test. Zbl 0658.62061
Ingster, Yu. I.
1987
Asymptotically minimax testing of the independence hypothesis. Zbl 0649.62038
Ingster, Yu. I.
1986
An asymptotic minimax testing of nonparametric hypotheses on the density of the distribution of an independent sample. Zbl 0587.62016
Ingster, Yu. I.
1986
Asymptotically minimax testing of nonparametric hypotheses concerning the density of an independent sample. Zbl 0561.62006
Ingster, Yu. I.
1984
Asymptotically optimal Bayes tests for composite hypotheses. Zbl 0599.62040
Ingster, Yu. I.
1984
Asymptotically optimal Bayesian tests for composite hypotheses. Zbl 0554.62027
Ingster, Yu. I.
1983
Minimax nonparametric detection of signals in white Gaussian noise. Zbl 0499.94002
Ingster, Yu. I.
1982
On minimax distinguishability of families of nonparametric hypotheses. Zbl 0524.62045
Ingster, Yu. I.
1982
On the asymptotic efficiency of testing a simple hypothesis against a composite alternative. Zbl 0495.62030
Ingster, Yu. I.
1982
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. Zbl 0486.62092
Ingster, Yu. I.
1981
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#### Cited by 342 Authors

 25 Ingster, Yuriĭ Izmaĭlovich 15 Arias-Castro, Ery 13 Suslina, Irina A. 11 Verzelen, Nicolas 10 Butucea, Cristina 9 Jin, Jiashun 9 Laurent, Béatrice 8 Ermakov, Mikhaĭl Sergeevich 8 Marteau, Clément 8 Sapatinas, Theofanis 7 Carpentier, Alexandra 7 Pouet, Christophe F. 6 Dalalyan, Arnak S. 6 Nickl, Richard 5 Autin, Florent 5 Cai, Tony Tony 5 Fan, Jianqing 5 Hall, Peter Gavin 5 Munk, Axel 5 Spokoiny, Vladimir G. 5 Stepanova, Natalia A. 5 Tsybakov, Alexandre B. 4 Armstrong, Timothy B. 4 Candès, Emmanuel J. 4 Chen, Song Xi 4 Cheng, Guang 4 Collier, Olivier 4 Freyermuth, Jean-Marc 4 Fromont, Magalie 4 Kutoyants, Yury A. 4 Lugosi, Gábor 4 Mukherjee, Rajarshi 4 Nemirovski, Arkadi S. 4 Reiß, Markus 4 Shang, Zuofeng 4 Wasserman, Larry Alan 4 Werner, Frank 4 Zhang, Riquan 3 Abramovich, Felix P. 3 Blanchard, Gilles 3 Bubeck, Sébastien 3 Claeskens, Gerda 3 Comminges, Laetitia 3 Donoho, David Leigh 3 Dümbgen, Lutz 3 Efromovich, Sam 3 Enikeeva, Farida N. 3 Gayraud, Ghislaine 3 Huang, Zhensheng 3 Jiang, Jiancheng 3 Juditsky, Anatoli B. 3 Loubes, Jean-Michel 3 Low, Mark G. 3 Marteau, Charles 3 Pensky, Marianna 3 Reynaud-Bouret, Patricia 3 Rigollet, Philippe 3 Tribouley, Karine 3 Van der Vaart, Adrianus Willem 3 Yode, Armel Fabrice 2 Antoniadis, Anestis 2 Aston, John A. D. 2 Balakrishnan, Sivaraman 2 Baraud, Yannick 2 Berthet, Quentin 2 Bull, Adam D. 2 Cai, Tianwen Tony 2 Castro, Rui M. 2 Chan, Hock Peng 2 Ditzhaus, Marc 2 Fan, Yingying 2 Gao, Jiti 2 Gassiat, Elisabeth 2 Genovese, Christopher R. 2 Golubev, Yuriĭ K. 2 Gutzeit, Maurilio 2 Helgason, Hannes 2 Hoffmann, Marc R. 2 Huet, Sylvie 2 Janssen, Arnold 2 Lei, Jing 2 Lepskiĭ, Oleg Vital’evich 2 Lévy-Leduc, Céline 2 Liu, Yuchao 2 Mathé, Peter 2 Matias, Catherine 2 Maugis-Rabusseau, Cathy 2 Mukherjee, Sumit 2 Nussbaum, Michael 2 Plan, Yaniv 2 Robins, James M. 2 Rohde, Angelika 2 Sperlich, Stefan 2 Van de Geer, Sara Anna 2 Villers, Fanny 2 Walther, Günther 2 Wang, Meng 2 Wu, Yihong 2 Wu, Zheyang 2 Ying, Andrew ...and 242 more Authors
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#### Cited in 55 Serials

 77 The Annals of Statistics 34 Electronic Journal of Statistics 20 Bernoulli 18 Journal of Mathematical Sciences (New York) 14 Journal of Statistical Planning and Inference 14 Mathematical Methods of Statistics 7 Probability Theory and Related Fields 7 The Annals of Applied Statistics 6 Journal of Econometrics 6 Journal of Multivariate Analysis 6 Test 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Journal of the American Statistical Association 3 Journal of Soviet Mathematics 3 Applied and Computational Harmonic Analysis 3 Journal of Nonparametric Statistics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 The Canadian Journal of Statistics 2 Problems of Information Transmission 2 Annals of the Institute of Statistical Mathematics 2 Sequential Analysis 2 Statistical Science 2 Science in China. Series A 2 Automation and Remote Control 2 Stochastic Processes and their Applications 2 Computational Statistics and Data Analysis 2 Journal of the Royal Statistical Society. Series B. Statistical Methodology 2 Statistical Inference for Stochastic Processes 2 Journal of Machine Learning Research (JMLR) 1 Applicable Analysis 1 Metrika 1 Theory of Probability and its Applications 1 Biometrical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Computing 1 Statistics & Probability Letters 1 Constructive Approximation 1 The Annals of Applied Probability 1 Communications in Statistics. Theory and Methods 1 Journal of Statistical Computation and Simulation 1 Bulletin of the American Mathematical Society. New Series 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications of the Korean Mathematical Society 1 Econometric Theory 1 Foundations of Computational Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Statistics Surveys 1 Science China. Mathematics 1 Statistics and Computing 1 Information and Inference 1 Bayesian Analysis
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#### Cited in 24 Fields

 273 Statistics (62-XX) 43 Probability theory and stochastic processes (60-XX) 27 Numerical analysis (65-XX) 26 Information and communication theory, circuits (94-XX) 9 Combinatorics (05-XX) 8 Functional analysis (46-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Operations research, mathematical programming (90-XX) 5 Computer science (68-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX)