Rate of convergence of maximal deviation distributions for Gaussian processes and empirical density functions.~I
Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 4, pp. 707-724
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The asymptotic expansions and rate of convergence of maximal deviation distributions for two wide classes of Gaussian stationary processes and Parzen–Rosenblatt empirical densities are obtained.
@article{TVP_1982_27_4_a6,
author = {V. D. Konakov and V. I. Piterbarg},
title = {Rate of convergence of maximal deviation distributions for {Gaussian} processes and empirical density {functions.~I}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {707--724},
publisher = {mathdoc},
volume = {27},
number = {4},
year = {1982},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a6/}
}
TY - JOUR AU - V. D. Konakov AU - V. I. Piterbarg TI - Rate of convergence of maximal deviation distributions for Gaussian processes and empirical density functions.~I JO - Teoriâ veroâtnostej i ee primeneniâ PY - 1982 SP - 707 EP - 724 VL - 27 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a6/ LA - ru ID - TVP_1982_27_4_a6 ER -
%0 Journal Article %A V. D. Konakov %A V. I. Piterbarg %T Rate of convergence of maximal deviation distributions for Gaussian processes and empirical density functions.~I %J Teoriâ veroâtnostej i ee primeneniâ %D 1982 %P 707-724 %V 27 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a6/ %G ru %F TVP_1982_27_4_a6
V. D. Konakov; V. I. Piterbarg. Rate of convergence of maximal deviation distributions for Gaussian processes and empirical density functions.~I. Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 4, pp. 707-724. http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a6/