To the memory of Yu. I. Ingster

Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 19, Tome 412 (2013), pp. 5-14

Bibliographie

[1] Yu. I. Ingster, “Asimptoticheskaya regulyarnost semeistva mer, sootvetstvuyuschikh gaussovskomu sluchainomu protsessu, soderzhaschemu komponentu belogo shuma, pri konechnoparametricheskom semeistve spektralnykh plotnostei”, Zap. nauchn. semin. LOMI, 108, 1981, 89–110 | MR | Zbl

[2] Yu. I. Ingster, “O minimaksnoi razlichimosti semeistv neparametricheskikh gipotez”, Dokl. AN SSSR, 267:3 (1982), 536–539 | MR | Zbl

[3] Yu. I. Ingster, “O minimaksnom neparametricheskom obnaruzhenii signala v gaussovskom belom shume”, Probl. peredachi inform., 18:2 (1982), 61–73 | MR | Zbl

[4] Yu. I. Ingster, “Asimptoticheski optimalnye baiesovy testy proverki slozhnykh gipotez”, Teoriya veroyatn. i eë primen., 28:4 (1983), 738–757 | MR | Zbl

[5] Yu. I. Ingster, “Asimptoticheski minimaksnaya proverka neparametricheskikh gipotez o plotnosti raspredeleniya nezavisimoi vyborki”, Zap. nauchn. semin. LOMI, 136, 1984, 74–96 | MR | Zbl

[6] Yu. I. Ingster, “Asimptoticheski optimalnye testy proverki slozhnykh konechnoparametrichestkikh gipotez”, Teoriya veroyatn. i eë primen., 30:2 (1985), 289–308 | MR | Zbl

[7] Yu. I. Ingster, “Minimaksnaya proverka neparametricheskikh gipotez o plotnosti raspredeleniya v metrikakh $L_p$”, Teoriya veroyatn. i eë primen., 31:2 (1986), 384–389 | MR | Zbl

[8] Yu. I. Ingster, “O sravnenii minimaksnykh svoistv testov Kolmogorova, $\omega^2$ i $\chi^2$”, Teoriya veroyatn. i eë primen., 32:2 (1987), 374–378 | MR | Zbl

[9] Yu. I. Ingster, “Asymptotically minimax testing of nonparametric hypotheses”, Probab. Theory Math. Statist., Proc. Fourth Vilnius Conf., v. 1, Vilnius, 1987, 553–573 | MR

[10] Yu. I. Ingster, “Minimaksnaya proverka prostoi gipotezy protiv slabo neparametricheskogo mnozhestva alternativ”, Teoriya veroyatn. i eë primen., 33:3 (1988), 592–596 | MR | Zbl

[11] Yu. I. Ingster, “Minimaksnoe obnaruzhenie signala v metrikakh $\ell_p$”, Zap. nauchn. semin. LOMI, 184, 1990, 152–168 | MR | Zbl

[12] Yu. I. Ingster, “Asymptotically minimax hypothesis testing for nonparametric alternatives. I”, Math. Methods Statist., 2 (1993), 85–114 | MR | Zbl

[13] Yu. I. Ingster, “Minimaksnaya proverka gipotezy nezavisimosti dlya ellipsoidov v $\ell_p$”, Zap. nauchn. semin. POMI, 207, 1993, 77–97 | MR | Zbl

[14] Yu. I. Ingster, “Minimaksnaya proverka gipotez o plotnosti raspredeleniya dlya ellipsoidov v $\ell_p$”, Teoriya veroyatn. i eë primen., 39:3 (1994), 530–553 | MR | Zbl

[15] Yu. I. Ingster, “Minimaksnoe obnaruzhenie signala pri nevyrozhdennykh funktsiyakh poter i ekstremalnye vypuklye zadachi”, Zap. nauchn. semin. POMI, 228, 1996, 162–188 | MR | Zbl

[16] Yu. I. Ingster, “Some problems of hypothesis testing leading to infinitely divisible distributions”, Math. Methods Statist., 6 (1997), 47–69 | MR | Zbl

[17] Yu. I. Ingster, “Adaptivnye testy khi-kvadrat”, Zap. nauchn. semin. POMI, 244, 1997, 150–166 | MR | Zbl

[18] Yu. I. Ingster, Adaptation in minimax non-parametric hypothesis testing, WIAS Preprint No 419, Berlin, 1998

[19] Yu. I. Ingster, I. A. Suslina, “Minimaksnoe obnaruzhenie signala dlya tel i sharov Besova”, Probl. peredachi inform., 34:1 (1998), 56–68 | MR | Zbl

[20] Yu. I. Ingster, “Minimax detection of a signal for $\ell^n$-balls”, Math. Methods Statist., 7 (1998), 401–428 | MR | Zbl

[21] Yu. I. Ingster, I. A. Suslina, “Minimax nonparametric hypothesis testing for ellipsoids and Besov bodies”, ESAIM: Probab. Statist., 4 (2000), 53–135 | DOI | MR | Zbl

[22] Yu. I. Ingster, “O proverke gipotezy, blizkoi k prostoi”, Teoriya veroyatn. i eë primen., 45:2 (2000), 356–368 | DOI | MR | Zbl

[23] Yu. I. Ingster, I. A. Suslina, “O minimaksnom obnaruzhenii polozhitelnykh signalov”, Zap. nauchn. semin. POMI, 278, 2001, 112–140 | MR | Zbl

[24] Yu. I. Ingster, “Adaptive detection of a signal of growing dimension. I”, Math. Methods Statist., 10 (2001), 395–421 | MR | Zbl

[25] Yu. I. Ingster, “Adaptive detection of a signal of growing dimension. II”, Math. Methods Statist., 11 (2002), 37–68 | MR | Zbl

[26] Yu. I. Ingster, I. A. Suslina, “Ob obnaruzhenii signala izvestnoi formy v mnogokanalnoi sisteme”, Zap. nauchn. semin. POMI, 294, 2002, 88–112 | MR | Zbl

[27] Yu. I. Ingster, O. V. Lepski, “Multichannel nonparametric signal detection”, Math. Methods Statist., 12 (2003), 247–275 | MR

[28] Yu. I. Ingster, I. A. Suslina, Nonparametric Goodness-of-Fit Testing Under Gaussian Models, Lect. Notes Statist., 169, Springer, New York, 2002 | MR

[29] Yu. I. Ingster, I. A. Suslina, “Minimax nonparametric goodness-of-fit testing”, Foundation of Statistical Inference, Proc. of the Shoresh Conf. 2000, Ser.: Contributions to Statistics, Springer, 2003, 141–153 | DOI | MR

[30] Yu. I. Ingster, I. A. Suslina, “Nonparametric hypothesis testing for small type I errors. I”, Math. Methods Statist., 13 (2004), 409–459 | MR | Zbl

[31] Yu. I. Ingster, I. A. Suslina, “Nonparametric hypothesis testing for small type I errors. II”, Math. Methods Statist., 14 (2005), 28–52 | MR

[32] Yu. I. Ingster, I. A. Suslina, “On estimation and detection of smooth functions of many variables”, Math. Methods Statist., 14 (2005), 299–331 | MR

[33] Yu. I. Ingster, I. A. Suslina, “Otsenivanie i proverka gipotez dlya funktsii beskonechnogo chisla argumentov”, Zap. nauchn. semin. POMI, 328, 2005, 91–113 | MR | Zbl

[34] Yu. I. Ingster, Yu. A. Kutoyants, “Nonparametric hypothesis testing for intensity of the Poisson process”, Math. Methods Statist., 16 (2007), 217–245 | DOI | MR | Zbl

[35] Yu. I. Ingster, I. A. Suslina, “Estimation and detection of high-variable functions from Sloan–Woźniakowski space”, Math. Methods Statist., 16 (2007), 318–353 | DOI | MR | Zbl

[36] Yu. I. Ingster, I. A. Suslina, “Otsenivanie i proverka gipotez dlya funktsii iz tenzornykh proizvedenii prostranstv”, Zap. nauchn. semin. POMI, 351, 2007, 180–218 | MR

[37] Yu. I. Ingster, T. Sapatinas, “Minimax goodness-of-fit testing in multivariate nonparametric regression”, Math. Methods Statist., 18 (2009), 241–269 | DOI | MR | Zbl

[38] Yu. I. Ingster, Ch. Pouet, A. B. Tsybakov, “Classification of sparse high-dimensional vectors”, Philosophical Transactions of the Royal Society, Ser. A, 367 (2009), 4427–4448 | DOI | MR | Zbl

[39] Yu. I. Ingster, I. A. Suslina, “Adaptivnoe obnaruzhenie funktsii bolshogo chisla peremennykh”, Zap. nauchn. semin. POMI, 368, 2009, 156–170 | MR

[40] Yu. I. Ingster, N. A. Stepanova, “Estimation and detection of functions from weighted tensor product spaces”, Math. Methods Statist., 18 (2009), 310–340 | DOI | MR | Zbl

[41] Yu. I. Ingster, A. Tsybakov, N. Verzelen, “Detection boundary in sparse regression”, Electronic J. Statist., 4 (2010), 1476–1526 | DOI | MR | Zbl

[42] Yu. Ingster, N. Stepanova, “Estimation and detection of functions from anisotropic Sobolev classes”, Electronic J. Statist., 5 (2011), 484–506 | DOI | MR | Zbl

[43] Yu. I. Ingster, T. Sapatinas, I. A. Suslina, “Minimax nonparametric testing in a problem related to the Radon transform”, Math. Methods Statist., 20 (2011), 347–364 | DOI | MR

[44] Yu. I. Ingster, T. Sapatinas, I. A. Suslina, “Minimax signal detection in ill-posed inverse problems”, Ann. Statist., 40 (2012), 1524–1549 | DOI | MR | Zbl

[45] G. Gayraud, Yu. Ingster, “Detection of sparse additive functions”, Electronic J. Statist., 6 (2012), 1409–1448 | DOI | MR | Zbl

[46] C. Butucea, Yu. I. Ingster, “Detection of a sparse submatrix of a high-dimensional noisy matrix”, Bernoulli (to appear)

[47] Yu. I. Ingster, N. A. Stepanova, “Adaptivnaya selektsiya komponent razrezhennoi funktsii regressii”, Zap. nauchn. semin. POMI, 408, 2012, 214–244 | MR

[48] A. Dalalyan, Y. Ingster, A. B. Tsybakov, “Statistical inference in compound functional models”, Probability Theory and Related Fields (to appear)

[49] M. S. Ermakov, “Minimaksnoe obnaruzhenie signala v gaussovskom belom shume”, Teoriya veroyatn. i eë primen., 35:4 (1990), 704–715 | MR | Zbl

[50] I. A. Suslina, “Minimaksnoe obnaruzhenie signala dlya $\ell_q$-ellipsoidov s udalennym $\ell_p$-sharom”, Zap. nauchn. semin. POMI, 207, 1993, 127–137

[51] I. A. Suslina, “Ekstremalnye zadachi, voznikayuschie pri minimaksnom obnaruzhenii signala dlya $l_q$-ellipsoidov s udalennym $\ell_p$-sharom”, Zap. nauchn. semin. POMI, 228, 1996, 312–332 | MR | Zbl

[52] N. N. Chentsov, “Otsenka neizvestnoi plotnosti raspredeleniya po nablyudeniyam”, Dokl. AN SSSR, 147 (1962), 45–48 | Zbl

[53] D. Donoho, J. Jin, “Higher criticism for detecting sparse heterogeneous mixtures”, Ann. Statist., 32 (2004), 962–994 | DOI | MR | Zbl

[54] I. A. Ibragimov, R. Z. Khasminskii, “Odna zadacha statisticheskogo otsenivaniya v gaussovskom belom shume”, Dokl. AN SSSR, 236 (1977), 1300–1302 | Zbl

[55] O. V. Lepski, V. G. Spokoiny, “Minimax nonparametric hypothesis testing: the case of inhomogeneous alternative”, Bernoulli, 5 (1999), 333–358 | DOI | MR | Zbl

[56] H. B. Mann, A. Wald, “On the choice of the number of class intervals in the application of the chi square test”, Ann. Math. Statist., 13 (1942), 306–317 | DOI | MR | Zbl

[57] V. G. Spokoiny, “Adaptive hypothesis testing using wavelets”, Ann. Statist., 24 (1996), 2477–2498 | DOI | MR | Zbl