Geodesic
The central limit theorem for generalized $U$-statistics for weakly dependent vectors
Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 3, pp. 563-578

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In this paper the central limit theorem for generalized $U$-statistics for weakly dependent vectors is established. It is proved that normalization is essential for the dependence or nondegenerate of the generalized $U$-statistics.The results obtained are applied to some problems on dependent observations in the theory of nonparametric estimation.
Keywords: generalized $U$-statistic, absolute regularity
Mots-clés : kernel estimations. 
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     author = {Sh. A. Khashimov},
     title = {The central limit theorem for generalized $U$-statistics for weakly dependent vectors},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {563--578},
     publisher = {mathdoc},
     volume = {38},
     number = {3},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1993_38_3_a6/}
}
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Sh. A. Khashimov. The central limit theorem for generalized $U$-statistics for weakly dependent vectors. Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 3, pp. 563-578. http://geodesic.mathdoc.fr/item/TVP_1993_38_3_a6/