Variability Orderings Related to Coverage Problems on the Circle.

Abstract

Suppose that n arcs with random lengths having distributions F1, F2, ...Fn are placed uniformly and independently on a circle. This article presents inequalities which tell how certain distributions and probabilities change as the variability of the distributions F1, F2, ...Fn is increased. A distribution F is considered to be more variable than G if integral h(x)dF(x) > or = integral h(x)dG(x) for all convex functions h. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 12, 1984
Accession Number
ADA143364

Entities

People

  • F. Huffer

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Classification
  • Distribution Functions
  • Functions (Mathematics)
  • Inequalities
  • Integrals
  • Military Research
  • New York
  • Normal Distribution
  • Numbers
  • Probability
  • Random Variables
  • Real Numbers
  • Security
  • Statistics
  • Stochastic Processes
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Statistical inference.