The limiting normality of the test statistic for the two-sample problem induced by a convex sum distance

Kaoru Fueda

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1 Citation (Scopus)

Abstract

Critchlow (1992, J. Statist. Plann. Inference, 32, 325-346) proposed a method of a unified construction of a class of rank tests. In this paper, we introduce a convex sum distance and prove the limiting normality of the test statistics for the two-sample problem derived by his method.

Original languageEnglish
Pages (from-to)337-347
Number of pages11
JournalAnnals of the Institute of Statistical Mathematics
Volume48
Issue number2
Publication statusPublished - 1996
Externally publishedYes

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Keywords

  • Convex sum distance
  • Limiting normality
  • Transposition property

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

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