Invariance principle for $U$-statistics and von Mises' functionals of weakly dependent observations
Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 4, pp. 814-817
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$U$-statistics and von Mises' functionals with degenerate kernel are considered. Almost sure invariance principles for them are established when the observations satisfy a mixing condition.
Keywords:
$U$-statistics, von Mises' functional, almost sure invariance principle, mixing condition.
@article{TVP_2002_47_4_a15,
author = {O. Sh. Sharipov},
title = {Invariance principle for $U$-statistics and von {Mises'} functionals of weakly dependent observations},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {814--817},
year = {2002},
volume = {47},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2002_47_4_a15/}
}
TY - JOUR AU - O. Sh. Sharipov TI - Invariance principle for $U$-statistics and von Mises' functionals of weakly dependent observations JO - Teoriâ veroâtnostej i ee primeneniâ PY - 2002 SP - 814 EP - 817 VL - 47 IS - 4 UR - http://geodesic.mathdoc.fr/item/TVP_2002_47_4_a15/ LA - ru ID - TVP_2002_47_4_a15 ER -
O. Sh. Sharipov. Invariance principle for $U$-statistics and von Mises' functionals of weakly dependent observations. Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 4, pp. 814-817. http://geodesic.mathdoc.fr/item/TVP_2002_47_4_a15/