ON A FIXED-WIDTH CONFIDENCE INTERVAL FOR THE COMMON MEAN OF TWO DISTRIBUTIONS HAVING UNEQUAL VARIANCES: I. THE CASE OF ONE VARIANCE KNOWN.

Abstract

Suppose that one has two measuring instruments, one generating a random variable X having mean m and variance S sub x, the other producing a random variable Y having mean m and variance S sub y. It is desired to find a fixed-width confidence interval of width 2d for m having probability of coverage g. Assuming that the cost for taking observations in the same for both measuring instruments, the problem becomes one of finding the most accurate measuring instrument and using it to construct the confidence interval.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1966
Accession Number
AD0643182

Entities

People

  • Leon J. Gleser
  • S. Zacks

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Cooperation
  • Data Science
  • Information Science
  • Intervals
  • Mathematics
  • Measuring Instruments
  • Observation
  • Probability
  • Probability Distributions
  • Random Variables
  • Statistics
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Aerospace Test and Evaluation
  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.