SMALL SAMPLE ACCEPTANCE SAMPLING TABLES USING B10 RELIABLE LIFE AND B10 HAZARD RATE CRITERIA BASED ON THE WEIBULL DISTRIBUTION.

Abstract

Acceptance criteria are established for B sub 10 reliable life and B sub 10 hazard (instantaneous failure) rate, assuming that a Weibull failure time distribution with shape parameter 0.6 = or < beta = or < 2.0 applies. B sub 10 reliable life is the time at which 90% of all items are expected to be still in operation, and B sub 10 hazard rate is the number of failures per unit - time (hours, cycles, etc) expected at B sub 10 life. Acceptance sampling plans based on the binomial probability distribution have been developed, for each criterion, using sample sizes of 2 = or < n = or < 50, and acceptance numbers of 0 = or < c = or < n-1, c = or < 8, to assure, with minimum confidence of 90% and/or 95% the acceptance of lots for which the survival probability is 90% or more, at some specified time, t. Comparisons between B sub 10 reliable life and B 10 hazard rate indicate that either may be used with equal facility as acceptance sampling criteria. However, B sub 10 hazard rate estimated would be most appropriate for establishing correction factors to compare basic environmental test results, with results obtained under other than basic conditions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1968
Accession Number
AD0839460

Entities

People

  • David W Taylor
  • Donald J. Fisk

Tags

DTIC Thesaurus Topics

  • Binomials
  • Environmental Tests
  • Mathematics
  • Probability
  • Probability Distributions
  • Random Variables
  • Sampling
  • Survival

Readers

  • Life Cycle Cost Analysis
  • Regression Analysis.