Confidence Intervals for a Mean and a Proportion in the Bounded Case.

Abstract

This paper describes a 100x(1-alpha) confidence interval for the mean of a bounded random variable which is shorter than the interval that Chebyshev's inequality induces for small alpha and which avoids the error of approximation that assuming normality induces. The paper also presents an analogous development for deriving a 100x(1-alpha) confidence interval for a proportion.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1986
Accession Number
ADA177804

Entities

People

  • George S. Fishman

Organizations

  • University of North Carolina at Chapel Hill

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DTIC Thesaurus Topics

  • Abstracts
  • Acquisition
  • Air Force
  • Bernoulli Distribution
  • Classification
  • Coefficients
  • Inequalities
  • Interdisciplinary Science
  • Intervals
  • North Carolina
  • Operations Research
  • Probability
  • Random Variables
  • Scientific Research
  • Security
  • Systems Analysis
  • United States

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Mathematics or Statistics
  • Quantum Chemistry