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- W1551852736 abstract "The validity of various bootstrapping methods has been proved for the sample mean of strongly mixing data. But in many applications, there appear nonlinear statistics of processes that are not strongly mixing. We investigate the nonoverlapping block bootstrap sequences which are near epoch dependent on absolutely regular processes. This includes ARMA and GARCH-processes as well as data from chaotic dynamical systems. We establish the strong consistency of the bootstrap distribution estimator not only for the sample mean, but also for U-statistics, which include examples as Gini's mean difference or the Chi-test statistic." @default.
- W1551852736 created "2016-06-24" @default.
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- W1551852736 date "2009-12-14" @default.
- W1551852736 modified "2023-09-27" @default.
- W1551852736 title "Bootstrap for the sample mean and for U-Statistics of stationary processes" @default.
- W1551852736 doi "https://doi.org/10.17877/de290r-12781" @default.
- W1551852736 hasPublicationYear "2009" @default.
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