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Estimation of One-Sided Lower Tolerance Limits for a Weibull Distribution Using the Monte Carlo Pivotal Simulation Technique

Journal Article
2013-01-0329
ISSN: 1946-3979, e-ISSN: 1946-3987
DOI: https://doi.org/10.4271/2013-01-0329
Published April 08, 2013 by SAE International in United States
Estimation of One-Sided Lower Tolerance Limits for a Weibull Distribution Using the Monte Carlo Pivotal Simulation Technique
Sector:
Citation: Makam, S., Lee, Y., and Attibele, P., "Estimation of One-Sided Lower Tolerance Limits for a Weibull Distribution Using the Monte Carlo Pivotal Simulation Technique," SAE Int. J. Mater. Manf. 6(3):369-374, 2013, https://doi.org/10.4271/2013-01-0329.
Language: English

References

  1. Lieberman , G.J. Tables for one-sided tolerance limits Technical Report No. 34 Applied Mathematics and Statistics Laboratory, Stanford University November 1 1957
  2. Link , C.L. An equation for one-sided tolerance limits for normal distributions Res. Pap. FPL 458 Madison WI Dept. of Agriculture, Forest Service, Forest Products Laboratory 1985
  3. Wei , Z. , Luo , L. , Lin , S. , Konson , D. et al. Design Curve Construction Based on Two-Stress Level Test Data SAE Technical Paper 2012-01-0069 2012 10.4271/2012-01-0069
  4. Symynck , J. , and De Bal , F. Monte Carlo Confidence bounds for weibull analysis, with implementations in R XVI-th International Scientific Conference “TEHNOMUS” University of Suceava Romania May 2011
  5. Nelson , W. Accelerated Testing: Statistical Models, Test Plans, and Data Analysis John Wiley & Sons 2004 9780471697367
  6. Abernethy , R.B. The new Weibull Handbook R.B. Abernethy 3 rd 1998 9780965306201
  7. Mann , N.R. , Schafer , R.E. , and Singpurwalla , N.J. Methods for statistical analysis of reliability and life data Wiley 1974 9780471567370
  8. Lawless , J.F. Statistical Models and Methods for Lifetime data 2 nd Wiley-Interscience Hoboken, NJ 2003 9780471372158

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