UNBIASED ESTIMATES OF RELIABILITY WHEN TESTING AT ONLY ONE EXTREME STRESS LEVEL

Abstract

Based on the stress-strength concept of reliability for 'one-shot' items, it is assumed that an item cannot fail until the stress equals or exceeds the strength. From this premise and the following additional assumptions, methods are given for calculating unbiased estimates of nontime dependent reliability: (1) The relation between the stress and strength standard deviations are known approximately. (2) A single stress level is applied during testing at approximately three standard deviations from the average stress level. (3) The stress and strength distributions are normal. Calculations are included to show the effect of errors in the assumptions concerning the standard deviations, applied stress level, and rounding-off errors. This approach further reduces the sample size required to demonstrate high non-time dependent reliability in laboratory testing. It has the added advantage of obtaining unbiased estimates of reliability with the simplest of testing methods.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
AD0657676

Entities

People

  • A. Bulfinch

Organizations

  • Picatinny Arsenal

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Computing-Related Activities
  • Data Science
  • Engineering
  • Errors
  • Experimental Design
  • High Reliability
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Reliability
  • Reliability Engineering
  • Sensitivity
  • Standards
  • Test And Evaluation
  • Test Methods

Readers

  • Analytical Mechanics
  • Statistical inference.
  • Structural Health Monitoring of Composite Structures.