Confidence Intervals for the Ratio of Two Means with Application to Simulations.

Abstract

In simulating stable stochastic systems one is frequently confronted by the need to produce confidence intervals for the ratio of the expected values of two random variables (r.v.'s). This situation arises, for example, when one simulates the general many-server queue or stochastic systems modeled as Markov chains in either discrete or continuous time. The report derives a confidence interval for the ratio of two means which is a distinct improvement over an old method. Both the old and new confidence intervals are illustrated by numerical examples. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1972
Accession Number
AD0744999

Entities

People

  • Donald Iglehart
  • Michael A. Crane

Tags

DTIC Thesaurus Topics

  • Intervals
  • Markov Chains
  • Mathematics
  • Probability
  • Random Variables
  • Simulations

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.