@article{ZNSL_2018_474_a16,
author = {V. N. Solev},
title = {Estimation of function in {Gaussian} stationary noise: new spectral condition},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {222--232},
year = {2018},
volume = {474},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_474_a16/}
}
V. N. Solev. Estimation of function in Gaussian stationary noise: new spectral condition. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 27, Tome 474 (2018), pp. 222-232. http://geodesic.mathdoc.fr/item/ZNSL_2018_474_a16/
[1] Yu. A. Rozanov, Statsionarnye protsessy, Mir, M., 1963
[2] I. A. Ibragimov, Yu. A. Rozanov, Gaussovskie protsessy, Mir, M., 1974
[3] I. A. Ibragimov, R. Z. Khasminskii, “O neparametricheskom otsenivanii znacheniya lineinogo funktsionala v gaussovskom belom shume”, Teoriya veroyatn. i ee primenen., 29:1 (1984), 19–32 | Zbl
[4] D. L. Donoho, R. C. Liu, B. MacGibbon, “Minimax Risk Over Hyperrectangles, and Implications”, Ann. Statist., 18:3 (1990), 1416–1437 | DOI | MR | Zbl
[5] W. Stepanoff, “Sur quelques generalisations des fonctions presque-periodiques”, Comptes Rendus, 181 (1925), 90–92 | Zbl
[6] N. Viner, R. Peli, Preobrazovanie Fure v kompleksnoi ploskosti, Nauka, M., 1964
[7] J. B. Garnett, Bounded analytic functions, Academic Press, New York, 1981 | MR | Zbl
[8] V. N. Solev, “Uslovie lokalnoi asimptoticheskoi normalnosti dlya gaussovskikh statsionarnykh protsessov”, Zap. nauchn. semin. POMI, 278, 2001, 225–247 | Zbl
[9] S. V. Reshetov, “Minimaksnyi risk dlya kvadratichno vypuklykh mnozhestv”, Zap. nauchn. semin. POMI, 368, 2009, 181–189
[10] S. V. Reshetov, “Minimaksnaya otsenka psevdo-periodicheskoi funktsii, nablyudaemoi na fone statsionarnogo shuma”, Vestnik SPbGU, Seriya 1, 2 (2010), 106–115
[11] V. N. Solev, “Otsenka funktsii, nablyudaemoi na fone statsionarnogo shuma: diskretizatsiya”, Zap. nauchn. semin. POMI, 441, 2015, 286–298
[12] V. N. Solev, “Adaptivnaya otsenka funktsii, nablyudaemoi na fone gaussovskogo statsionarnogo shuma”, Zap. nauchn. semin. POMI, 454, 2016, 261–275
[13] V. N. Solev, “Lokalnaya versiya usloviya Makkenkhaupta i tochnost otsenivaniya neizvestnoi psevdo-periodicheskoi funktsii, nablyudaemoi na fone statsionarnogo shuma”, Zap. nauchn. semin. POMI, 466, 2017, 261–275