The Gauss-Tchebyshev Inequality for Unimodal Distributions.

Abstract

Document describes The-Gauss-Tchebyshev Inequality for Unimodal Distributions. The determination of a value improves and extends a recent result of Vysochanskii and Petunin who have only considered the case r = 2 with a higher value for k2. The proof is also considerably simpler because it uses the convex structure of the class of unimodal distributions.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1983
Accession Number
ADA133760

Entities

People

  • Kumar Joag-dev
  • S. W. Dharmadhikari

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Classification
  • Convex Sets
  • Distribution Functions
  • Governments
  • Illinois
  • Inequalities
  • Intellectual Property
  • Law
  • Notation
  • Probability
  • Random Variables
  • Security
  • Statistics
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.