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June, 1983 An Edgeworth Expansion for Simple Linear Rank Statistics Under the Null-Hypothesis
Ronald J. M. M. Does
Ann. Statist. 11(2): 607-624 (June, 1983). DOI: 10.1214/aos/1176346166

Abstract

An Edgeworth expansion with remainder $o(N^{-1})$ is established for simple linear rank statistics under the null-hypothesis. The theorem is proved for a wide class of scores generating functions which includes the normal quantile function.

Citation

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Ronald J. M. M. Does. "An Edgeworth Expansion for Simple Linear Rank Statistics Under the Null-Hypothesis." Ann. Statist. 11 (2) 607 - 624, June, 1983. https://doi.org/10.1214/aos/1176346166

Information

Published: June, 1983
First available in Project Euclid: 12 April 2007

zbMATH: 0528.62037
MathSciNet: MR696072
Digital Object Identifier: 10.1214/aos/1176346166

Subjects:
Primary: 62G10
Secondary: 60F05 , 62G20

Keywords: distributionfree tests , Edgeworth expansions , Simple linear rank statistics

Rights: Copyright © 1983 Institute of Mathematical Statistics

Vol.11 • No. 2 • June, 1983
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