References
- Beran, R., and Hall, P. (1993), ‘Interpolated Nonparametric Prediction Intervals and Confidence Intervals’, Journal of the Royal Statistical Society, Series B, 55, 643–652.
- Box, G.E.P., and Cox, D.R. (1964), ‘An Analysis of Transformations (with Discussion)’, Journal of the Royal Statistical Society, Series B, 26, 211–252.
- Brown, L.D., Cai, T.T., and DasGupta, A. (2001), ‘Interval Estimation for a Binomial Proportion’, Statistical Science, 16, 101–133.
- Cai, T.T., and Wang, H. (2009), ‘Tolerance Intervals for Discrete Distributions in Exponential Families’, Statistica Sinica, 19, 905–923.
- Frey, J. (2010), ‘Data-Driven Nonparametric Tolerance Sets’, Journal of Nonparametric Statistics, 22, 169–180. doi: 10.1080/10485250903248668
- Hettmansperger, T.P., and Sheather, S.J. (1986), ‘Confidence Intervals Based on Interpolated Order Statistics’, Statistics and Probability Letters, 4, 75–79. doi: 10.1016/0167-7152(86)90021-0
- Ho, Y.H.S., and Lee, S.M.S. (2005), ‘Iterated Smoothed Bootstrap Confidence Intervals for Population Quantiles’, The Annals of Statistics, 33, 437–462. doi: 10.1214/009053604000000878
- Hutson, A.D. (1999), ‘Calculating Nonparametric Confidence Intervals for Quantiles Using Fractional Order Statistics’, Journal of Applied Statistics, 26, 343–353. doi: 10.1080/02664769922458
- Krishnamoorthy, K., and Mathew, T. (2009), Statistical Tolerance Regions: Theory, Applications, and Computation, Hoboken, NJ: Wiley.
- Lin, T.Y., and Liao, C.T. (2006), ‘A β-Expectation Tolerance Interval for General Balanced Mixed Linear Models’, Computational Statistics and Data Analysis, 50, 911–925. doi: 10.1016/j.csda.2004.11.007
- Mee, R.W. (1984), ‘β-Expectation and β-Content Tolerance Limits for Balanced One-Way ANOVA Random Model’, Technometrics, 3, 251–254. doi: 10.1080/00401706.1984.10487962
- Rebafka, T., Clémençon, S., and Feinberg, M. (2007), ‘Bootstrap-Based Tolerance Intervals for Application to Method Validation’, Chemometrics and Intelligent Laboratory Systems, 89, 69–81. doi: 10.1016/j.chemolab.2007.06.001
- Scholz, F.W. (1995), ‘Nonparametric Tail Extrapolation’, Boeing Information & Support Services ISSTECH-95-014, Seattle, WA.
- Scholz, F.W. (2003), ‘Statistical Extreme Value Analysis of JFK Taxiway Centerline Deviations for 747 Aircraft’, FAA/Boeing Cooperative Research and Development Agreement 01-CRDA-0164, Seattle, WA.
- Scholz, F.W. (2005), ‘Statistical Extreme Value Analysis Concerning Risk of Wingtip to Wingtip or Fixed Object Collision for Taxiing Large Aircraft’, FAA/Boeing Cooperative Research and Development Agreement 01-CRDA-0164, Seattle, WA.
- Scholz, F.W., and Tjoelker, R.A. (1995), ‘Nonparametric Tail Extrapolation Simulation Results’, Boeing Information & Support Services ISSTECH-95-015, Seattle, WA.
- Sokal, R.R., and Rohlf, F.J. (2012), Biometry (4th ed.), New York: W. H. Freeman and Company.
- Solow, R.M. (1956), ‘A Contribution to the Theory of Economic Growth’, The Quarterly Journal of Economics, 70, 65–94. doi: 10.2307/1884513
- Stigler, S.M. (1977), ‘Fractional Order Statistics, with Applications’, Journal of the American Statistical Association, 72, 544–550. doi: 10.1080/01621459.1977.10480611
- Wilks, S.S. (1941), ‘Determination of Sample Sizes for Setting Tolerance Limits’, The Annals of Mathematical Statistics, 12, 91–96. doi: 10.1214/aoms/1177731788
- Yeo, I.K., and Johnson, R.A. (2000), ‘A New Family of Power Transformations to Improve Normality or Symmetry’, Biometrika, 87, 954–959. doi: 10.1093/biomet/87.4.954
- Young, D.S. (2010), ‘tolerance: An R Package for Estimating Tolerance Intervals’, Journal of Statistical Software, 36, 1–39.