Brunn-Minkowski Inequality and Its Aftermath.

Abstract

Two generalizations of Brunn-Minkowski inequality for convex sets are presented along with their direct and simple proofs. Literature in this area is reviewed. The connection between Anderson's inequality and these inequalities are discussed. Several references for statistical applications are cited. Different concepts of multivariate unimodality are reviewed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 28, 1978
Accession Number
ADA059030

Entities

People

  • Somesh Das Gupta

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Convex Sets
  • Data Science
  • Distribution Theory
  • Information Science
  • Measure Theory
  • New York
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Distributions
  • Statistical Inference
  • Statistics
  • Stochastic Processes
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Mathematical Modeling and Probability Theory.