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Asymptotic Statistics pp 89–122Cite as

Statistics Based on Ranking Methods

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Part of the book series: DMV Seminar ((OWS,volume 14))

Abstract

A classical rank statistic is defined to be a measurable function of the (coordinate) ranks of vectors. Here we shall adopt a more general viewpoint by allowing also dependence on the values of the coordinates. The main theorem below turns out to have many application to special types of rank statistics.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Indiana University, Bloomington, IN, 47405, USA

    Rabi Bhattacharya

  2. Institut für Mathematische, Stochastik, Lotzestrasse 13, D-3400, Göttingen, Germany

    Manfred Denker

Authors
  1. Rabi Bhattacharya
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  2. Manfred Denker
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© 1990 Birkhäuser Verlag Basel

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Bhattacharya, R., Denker, M. (1990). Statistics Based on Ranking Methods. In: Asymptotic Statistics. DMV Seminar, vol 14. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9254-4_8

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  • DOI: https://doi.org/10.1007/978-3-0348-9254-4_8

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9964-2

  • Online ISBN: 978-3-0348-9254-4

  • eBook Packages: Springer Book Archive

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