Improved Confidence Intervals for the Variance and Standard Deviation of a Normal Population.

Abstract

Shortest confidence intervals for the variance of a normal population are found as superior alternatives to the widely used equal-tail confidence intervals. Extensive tables of high precision are presented which enable the user to construct easily minimum-length confidence intervals for the variance, the standard deviation, and shortest unbiased confidence intervals. Characteristics and improved performance of the alternative confidence intervals are discussed in detail and illustrated graphically, with an emphasis on the optimal distribution of complementary tail area between the upper and lower tails. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1978
Accession Number
ADA061068

Entities

People

  • Archie Andrew Turner Iii

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Distribution Functions
  • Integrals
  • Intervals
  • Language
  • Optimization
  • Precision
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Schools
  • Standards
  • Statistical Samples
  • United States
  • United States Naval Academy

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.