Unified Treatment of some Inequalities among Ratios of Means.

Abstract

Using majorization and Schur-functions, Marshall, Olkin, and Proschan obtained a result concerning monotonicity of the ratio of means. This note shows that a slight extension of their result provides a unified method for obtaining and extending inequalties between means due to Chan, Goldberg, and Gonek, as well as deriving additional inequalties of the same type. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1979
Accession Number
ADA078464

Entities

People

  • Emad El-neweihi
  • Frank Proschan

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Inequalities
  • New York
  • Plastic Explosives
  • Scientific Research
  • Security
  • Statistics
  • Universities

Readers

  • Statistical inference.