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A sharper bound of the Hotelling–Solomons inequality.

  • Published In: Stat, 2024, v. 13, n. 3. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Maruyama, Yuzo 3 of 3

Abstract

The original Hotelling–Solomons inequality states that an upper bound of the absolute difference between the mean and median, standardised by the standard deviation, is 1. However, in this paper, we introduce a new bound that depends on the sample size, which is strictly smaller than 1. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Stat. 2024/09, Vol. 13, Issue 3, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2024
  • ISSN:2049-1573
  • DOI:10.1002/sta4.710
  • Accession Number:179688017
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