Tolerance: An R package for estimating tolerance intervals

Journal of Statistical Software

Volumn 36, Issue 5, 2010, Pages 1-39

  Young, Derek S ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

Acceptance limit; Coverage; K factor; Nonlinear regression; Nonparametric regression; Tolerance interval

Indexed keywords

EID: 77958149386     PISSN: 15487660     EISSN: 15487660     Source Type: Journal    
DOI: 10.18637/jss.v036.i05     Document Type: Article

References (29)

1. Adler D, Murdoch D (2010). rgl: 3D Visualization Device System (OpenGL). R package version 0.91, URL http://CRAN.R-project.org/package=rgl.
2. Bain LJ, Engelhardt M (1973). "Interval Estimation for the Two-Parameter Double Expo- nential Distribution. Technometrics, 15, 875-887.
3. Bain LJ, Engelhardt M (1981). "Simple Approximate Distributional Results for Con_dence and Tolerance Limits for the Weibull Distribution Based on Maximum Likelihood. Tech-nometrics, 23, 15-20.
4. Bain LJ, Engelhardt M (1991). Statistical Analysis of Reliability and Life-Testing Models: Theory and Methods. 2nd edition. Marcel Dekker, Inc., New York.
5. Balakrishnan N (1991). Handbook of the Logistic Distribution. CRC Press, New York.
6. Blischke WR, Murthy DNP (2000). Reliability: Modeling, Prediction, and Optimization. John Wiley & Sons, New York.
7. Brown LD, Cai TT, DasGupta A (2001). "Interval Estimation for a Binomial Proportion. Statistical Science, 16, 101-133.
8. Burrows GL (1963). "Statistical Tolerance Limits - What Are They? Applied Statistics, 12, 133-144.
9. Cleveland WS, Devlin SJ, Grosse E (1988). "Regression by Local Fitting. Journal of Econo- metrics, 37, 87-114.
10. Dunsmore IR (1978). "Some Approximations for Tolerance Factors for the Two Parameter Exponential Distribution. Technometrics, 20, 317-318.
11. Engelhardt M, Bain LJ (1978). "Tolerance Limits and Con_dence Limits on Reliability for the Two-Parameter Exponential Distribution. Technometrics, 20, 37-39.
12. Faulkenberry GD, Weeks DL (1968). "Sample Size Determination for Tolerance Limits. Technometrics, 10, 343-348.
13. Guenther WC (1972). "Tolerance Intervals for Univariate Distributions. Naval Research Logistics Quarterly, 19, 309-333.
14. Guenther WC, Patil SA, Uppuluri VRR (1976). "One-Sided _-Content Tolerance Factors for the Two Parameter Exponential Distribution. Technometrics, 18, 333-340.
15. Hahn GJ, Chandra R (1981). "Tolerance Intervals for Poisson and Binomial Random Variables. Journal of Quality Technology, 13, 100-110.
16. Hahn GJ, Meeker WQ (1991). Statistical Intervals: A Guide for Practitioners. John Wiley & Sons, New York.
17. Hall IJ (1975). "One-Sided Tolerance Limits for a Logistic Distribution Based on Censored Samples. Biometrics, 31, 873-880.
18. Howe WG (1969). "Two-Sided Tolerance Limits for Normal Populations - Some Improvements. Journal of the American Statistical Association, 64, 610-620.
19. Krishnamoorthy K, Mathew T (2009). Statistical Tolerance Regions: Theory, Applications, and Computation. Wiley, Hoboken.
20. Krishnamoorthy K, Mathew T, Mukherjee S (2008). "Normal-Based Methods for a Gamma Distribution: Prediction and Tolerance Intervals and Stress-Strength Reliability. Technometrics, 50, 69-78.
21. Krishnamoorthy K, Mondal S (2006). "Improved Tolerance Factors for Multivariate Normal Distributions. Communications in Statistics: Simulation and Computation, 35, 461-478.
22. Montgomery DC (2005). Introduction to Statistical Quality Control. 5th edition. John Wiley & Sons, Hoboken, NJ.
23. Patel JK (1986). "Tolerance Limits - A Review. Communications in Statistics: Theory and Methodology, 15, 2719-2762.
24. R Development Core Team (2010). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org/
25. Wald A (1943). "An Extension of Wilks' Method for Setting Tolerance Limits. Annals of Mathematical Statistics, 14, 44-55.
26. Wallis WA (1946). "Tolerance Intervals for Linear Regression. In J Neyman (ed.), Second Berkeley Symposium on Mathematical Statistics and Probability, pp. 43-51. University of California Press, Berkely, CA.
27. Weissberg A, Beatty G (1969). "Tables of Tolerance Limits Associated with Engineering Models. Technometrics, 2, 483-500.
28. Wilks SS (1941). "Determination of Sample Sizes for Setting Tolerance Limits. Annals of Mathematical Statistics, 12, 91-96.
29. Young DS (2010). tolerance: Functions for Calculating Tolerance Intervals. R package version 0.2.2, URL http://CRAN.R-project.org/package=tolerance.