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This article is cited in 3 scientific papers (total in 3 papers)
Short Communications
Invariance principle for $U$-statistics and von Mises' functionals of weakly dependent observations
O. Sh. Sharipov Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Abstract:
$U$-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.
Received: 17.05.2000
Citation:
O. Sh. Sharipov, “Invariance principle for $U$-statistics and von Mises' functionals of weakly dependent observations”, Teor. Veroyatnost. i Primenen., 47:4 (2002), 814–817; Theory Probab. Appl., 47:4 (2003), 730–733
Linking options:
https://www.mathnet.ru/eng/tvp3787https://doi.org/10.4213/tvp3787 https://www.mathnet.ru/eng/tvp/v47/i4/p814
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