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- W2474001553 abstract "AbstractLet X 1 ;X 2 ;:::;X n be independent random vectors with common distribution function F and let F = { F(:; ); ∈ } be a parametric family of distributions.LetT n ( )=T n (X 1 ;X 2 ;:::;X n ; ) be a degree-2 Vstatistic and let ˆ be a consistent estimator of .Several test statistics for testing the composite null hypoth-esis H 0 : F ∈ F has the form T n (ˆ).Typically, the null distribution ofT n (ˆ) depends on the unknown valueof .The purpose of this paper is to show that the bootstrap can be used to approximate the null distributionof this type of statistics.We also give similar results for statisticsW n (ˆ), with W n ( ) a degree-2 U statistic. c 2003 Elsevier Science B.V. All rights reserved. Keywords: Degenerate U and V statistics; Bootstrap; Consistency 1. IntroductionLet X 1 ;X 2 ;:::;X n be independent identically distributed (i.i.d.) random vectors in R d , for somexed d?1, and let F denote the common distribution function (d.f.). Let F = { F(:; ); ∈ } be a parametric family, with an open set in R" @default.
- W2474001553 created "2016-07-22" @default.
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- W2474001553 date "2003-01-01" @default.
- W2474001553 modified "2023-09-27" @default.
- W2474001553 title "Bootstrapping parameter estimated degenerate U and V statistics" @default.
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