Cramér type large deviations for generalized rank statistics

Munsup Seoh, Stefan S. Ralescu, Madan L. Puri

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

A Cramér type large deviation theorem is proved under alternatives as well as under hypothesis for the generalized linear rank statistic which includes as special cases (unsigned) linear rank statistics, signed linear rank statistics, linear combination of functions of order statistics, and a rank combinatorial statistic.
Original languageEnglish
Title of host publicationProbability Theory and Extreme Value Theory
EditorsMadan Lal Puri
PublisherDe Gruyter Mouton
Pages80-90
Number of pages11
Volume2
ISBN (Electronic)9783110917826
ISBN (Print)9789067643856
StatePublished - 2003

ASJC Scopus Subject Areas

  • General Mathematics

Keywords

  • Large deviation probabilities
  • Linear rank statistics
  • Order statistics
  • Rank combinatorial statistic

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