Probability and Expectation Inequalities.

Abstract

This paper introduces a mathematical framework within which a wide variety of known and new inequalities can be viewed from a common perspective. Probability and expectation inequalities of the following types are considered: (a) P(Z epsilon A) > or = P(Z' epsilon A) for some class of sets A, (b) Ek(Z) > or = Ek(Z') for some class of functions k, and (c) El (Z) > or = Ek(Z') for some class of of pairs of functions l and k.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA082056

Entities

People

  • Gordon Simons
  • Stamatis Cambanis

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Convergence
  • Data Science
  • Distribution Functions
  • Inequalities
  • Information Science
  • Integrals
  • Intervals
  • Monotone Functions
  • Normal Distribution
  • North Carolina
  • Probability
  • Projective Geometry
  • Random Variables
  • Statistics
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.