On the bounds of the range of order statistics

Douglas M Hawkins

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


Let x1x2 ··· xn be any set of number satisfying Σ xi=0 Σ xi2=1. There are bounds on the range of xi when the set xi is ranked (a) by x1≥x2≥ ··· ≥ xn and (b) by x1≥x2≥ ··· ≥xn. These bounds are given. The applicability to finite populotionr is pointed out. © Taylor & Francis Group, LLC.

Original languageEnglish (US)
Pages (from-to)644-645
Number of pages2
JournalJournal of the American Statistical Association
Issue number335
StatePublished - 1971


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