Local Asymptotic Power of Quadratic Rank Tests for Trend

Rudolf J. Beran · The Annals of Statistics · 1975

A general class of quadratic rank tests for randomness versus trend is introduced and studied in this paper. Included within this class are the Cramer-von Mises two sample test, the Watson two-sample test, and their extensions to trend alternatives. Analytical study is made of the asymptotic power and efficiency of such tests in a neighborhood of the null hypothesis.

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