Asymptotic properties of conditional quantiles for a class of symmetric distributions
Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 2, pp. 374-382
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This paper is devoted to studying the asymptotic properties of conditional distributions for one class of symmetric measures on space $\textbf R^\infty$. Explicit formulae of infinite-dimensional conditional quantiles are obtained for distributions of this class.
Keywords:
symmetric measures, de Finetti's theorem, transformations of independence, almost sure convergence.
Mots-clés : conditional distributions, conditional quantiles
Mots-clés : conditional distributions, conditional quantiles
@article{TVP_2006_51_2_a6,
author = {E. M. Knutova and S. Ya. Shatskikh},
title = {Asymptotic properties of conditional quantiles for a class of symmetric distributions},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {374--382},
publisher = {mathdoc},
volume = {51},
number = {2},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2006_51_2_a6/}
}
TY - JOUR AU - E. M. Knutova AU - S. Ya. Shatskikh TI - Asymptotic properties of conditional quantiles for a class of symmetric distributions JO - Teoriâ veroâtnostej i ee primeneniâ PY - 2006 SP - 374 EP - 382 VL - 51 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TVP_2006_51_2_a6/ LA - ru ID - TVP_2006_51_2_a6 ER -
%0 Journal Article %A E. M. Knutova %A S. Ya. Shatskikh %T Asymptotic properties of conditional quantiles for a class of symmetric distributions %J Teoriâ veroâtnostej i ee primeneniâ %D 2006 %P 374-382 %V 51 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TVP_2006_51_2_a6/ %G ru %F TVP_2006_51_2_a6
E. M. Knutova; S. Ya. Shatskikh. Asymptotic properties of conditional quantiles for a class of symmetric distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 2, pp. 374-382. http://geodesic.mathdoc.fr/item/TVP_2006_51_2_a6/