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Asymptotics of Linear Resampling Statistics

In: Theory of Nonparametric Tests

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  • Thorsten Dickhaus

    (University of Bremen, Institute for Statistics)

Abstract

We introduce linear resampling statistics, which can formally be regarded as linear rank statistics with random scores. Asymptotic effectiveness of resulting (conditional) resampling tests is considered in a general manner by means of (conditional) central limit theorems. Several examples are discussed in detail, and concrete algorithms are developed for practical data analysis. The problem of non-exchangeability under the null in multi-sample problems can be addressed by appropriate Studentization techniques.

Suggested Citation

  • Thorsten Dickhaus, 2018. "Asymptotics of Linear Resampling Statistics," Springer Books, in: Theory of Nonparametric Tests, chapter 0, pages 71-89, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-76315-6_5
    DOI: 10.1007/978-3-319-76315-6_5
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