WebDegenerate U- and V-statistics under weak dependence: Asymptotic theory and bootstrap consistency ANNE LEUCHT Friedrich-Schiller-Universität Jena, Institut für Stochastik, Ernst-Abbe-Platz 2, D-07743 Jena, Germany. E-mail: [email protected] We devise a general result on the consistency of model-based bootstrap methods for U-andV-statistics WebWe provide general results on the consistency of certain bootstrap methods applied to degree-2 degenerate statistics of U-type and V-type. While it follows from well known results that the original statistic converges in distribution to a weighted sum of centred chi-squared random variables, we use a coupling idea of Dehling and Mikosch to show that …
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Web12 de nov. de 2008 · In this paper, we consider U-statistics whose data is a strictly stationary sequence which can be expressed as a functional of an i.i.d. one. We establish a strong law of large numbers, a bounded law… Expand PDF Dependent multiplier bootstraps for non-degenerate $U$-statistics under mixing conditions with applications Axel … WebKeywords Bootstrap Periodogram Robust estimation Whittle estimator PM 10 pollutant 1 Introduction The bootstrap is a resampling technique that allows sta-tistical analysis without requiring rigorous structural assumptions (Efron 1979). While it is efficient for inde-pendent and identically distributed (i.i.d.) variables, its flower shops in arlington heights il
V-statistics and Variance Estimation - Journal of Machine Learning …
WebTherefore, consistent bootstrap methods for U- and V-statistics can be applied in order to determine critical values for these tests. We prove a new asymptotic result for degenerate U- and V-statistics of weakly dependent random variables. Webextend this idea to more general bootstrap schemes and to the case of degenerate U-and V-statistics with kernels which may depend on some parameter that has to be es-timated. We note that alternative ways of proving consistency for bootstrap statistics of degenerate U-type have been explored by Fan (1998) and Jim´enez-Gamero, Muno˜ z- WebMultinomial distribution, u− and v−statistics, Randomly Weighted u− and v-statistics, Weighted Arrays of random variables, Weighted Bootstrap 1 Introduction The main purpose of this study is to investigate the validity of bootstrap u-and v-statistics resulting for the so-called m-out of-n scheme of bootstrap. ∗[email protected] green bay packers football roster 1960