We find precise small deviation asymptotics with respect to the Hilbert norm for some special Gaussian processes connected to two regression schemes studied by MacNeill and his coauthors. In addition, we also obtain precise small deviation asymptotics for the detrended Brownian motion and detrended Slepian process.
@article{bwmeta1.element.doi-10_2478_s11533-014-0436-8,
author = {Alisa Kirichenko and Ya. Nikitin},
title = {Precise small deviations in L 2 of some Gaussian processes appearing in the regression context},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {1674-1686},
zbl = {1322.60036},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0436-8}
}
Alisa Kirichenko; Ya. Nikitin. Precise small deviations in L 2 of some Gaussian processes appearing in the regression context. Open Mathematics, Tome 12 (2014) pp. 1674-1686. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0436-8/
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