• 作者：Varron ; Davit
• 刊名：Comptes rendus - Mathematiques
• 出版年：2005
• 出版时间：March 15, 2005
• 年：2005
• 卷：340
• 期：6
• 页码：453-456
• 全文大小：101 K

Let (Z_i)_i1 be an i.i.d. sequence being such that Z₁ has a continuous, strictly positive density f on an open subset . Let HO be a compact subset with nonempty interior and let be a class of real Borel functions on . For each zH and h>0, we set the following -indexed stochastic process: Let and (h_n)_n1 be two sequences fulfilling the Csörgő–Révész–Stute conditions and satisfying . Under some assumptions upon the class (see [Ann. Probab. 32 (2) (2004) 1391]), we establish a uniform functional limit law for the processes , which holds uniformly in . This result is in the same vein as in Einmahl and Mason (preprint, 2003). To cite this article: D. Varron, C. R. Acad. Sci. Paris, Ser. I 340 (2005).