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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 244, Pages 28–45 (Mi znsl509)  
Confidence intervals in adaptive estimation

P. B. Bobrov, E. I. Ostrovskii

Obninsk Institute for Nuclear Power Engineering
Full-text PDF (232 kB)
Abstract: In the modern nonparametric statisties an adaptic methods of estimation became in the last time field of investigation. An estimates independent of a priori information about the function from $\mathscr L_2$ under estimation (adaptive estimates) are suggested. These estimates are used in the dufferent problems concerning the estimation of the regression, the density and the spectral function.
Received: 18.06.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 99, Issue 2, Pages 1031–1043
DOI: https://doi.org/10.1007/BF02673624
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: P. B. Bobrov, E. I. Ostrovskii, “Confidence intervals in adaptive estimation”, Probability and statistics. Part 2, Zap. Nauchn. Sem. POMI, 244, POMI, St. Petersburg, 1997, 28–45; J. Math. Sci. (New York), 99:2 (2000), 1031–1043
Citation in format AMSBIB
\Bibitem{BobOst97}
\by P.~B.~Bobrov, E.~I.~Ostrovskii
\paper Confidence intervals in adaptive estimation
\inbook Probability and statistics. Part~2
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 244
\pages 28--45
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl509}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700378}
\zmath{https://zbmath.org/?q=an:1163.62312}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 99
\issue 2
\pages 1031--1043
\crossref{https://doi.org/10.1007/BF02673624}
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