Confidence intervals in adaptive estimation
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 2, Tome 244 (1997), pp. 28-45
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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.
@article{ZNSL_1997_244_a1,
author = {P. B. Bobrov and E. I. Ostrovskii},
title = {Confidence intervals in adaptive estimation},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {28--45},
publisher = {mathdoc},
volume = {244},
year = {1997},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a1/}
}
P. B. Bobrov; E. I. Ostrovskii. Confidence intervals in adaptive estimation. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 2, Tome 244 (1997), pp. 28-45. http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a1/