Comparison of Log-Gamma and Lieberman-Ross Lower Confidence Limit Procedures on System Reliability.

Abstract

This thesis is an accuracy study of three empirical series system lower confidence limit procedures. Computer simulations were used to compare the accuracy of the procedures using the same set of data with 500 replications for each case. Modifications were then made to improve the accuracy of the Log-Gamma method. The systems simulated had reliabilities ranging from .6 to .95. They were composed of four, fifteen, or forty components and had component sample sizes of ten, twenty, or fifty. The Lieberman-Ross method was accurate but had high variance. The Log-Gamma method was conservative with small sample sizes, but became more accurate with increased testing. Randomization of the Log-Gamma method was the most successful of the modifications attempted. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1977
Accession Number
ADA040199

Entities

People

  • Teddy Ray Maynard

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Computer Programs
  • Computer Simulations
  • Computers
  • Confidence Limits
  • Equations
  • Estimators
  • Integrals
  • Method Of Moments
  • Operations Research
  • Plastic Explosives
  • Probability
  • Probability Distributions
  • Random Variables
  • Reliability
  • Simulations

Readers

  • Computational Modeling and Simulation
  • Materials Science and Engineering.
  • Statistical inference.