Bootstrapping Multivariate U-Quantiles and Related Statistics

R. Helmers and M. Huskova

Journal of Multivariate Analysis, 1994, vol. 49, issue 1, 97-109

Abstract: The asymptotic consistency of the bootstrap approximation of the vector of the marginal generalized quantiles of U-statistic structure (multivariate U-quantiles for short) is established. The asymptotic accuracy of the bootstrap approximation is also obtained. Extensions to smooth functions of marginal generalized quantiles are given and some specific examples, such as the vector of marginal sample quantiles and the vector of marginal Hodges-Lehmann location estimators, are discussed.

Date: 1994
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