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tolerance: An R Package for Estimating Tolerance Intervals

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  • Young, Derek S.

Abstract

The tolerance package for R provides a set of functions for estimating and plotting tolerance limits. This package provides a wide-range of functions for estimating discrete and continuous tolerance intervals as well as for estimating regression tolerance intervals. An additional tool of the tolerance package is the plotting capability for the univariate and regression settings as well as for the multivariate normal setting. The tolerance package's capabilities are illustrated using simulated data sets. Formulas used for the estimation procedures are also presented.

Suggested Citation

  • Young, Derek S., 2010. "tolerance: An R Package for Estimating Tolerance Intervals," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 36(i05).
    • Handle: RePEc:jss:jstsof:v:036:i05
    DOI: http://hdl.handle.net/10.18637/jss.v036.i05
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    Cited by:

    1. Kedai Cheng & Derek S. Young, 2023. "An Approach for Specifying Trimming and Winsorization Cutoffs," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 28(2), pages 299-323, June.
    2. Tom Burr & Elisa Bonner & Kamil Krzysztoszek & Claude Norman, 2019. "Setting Alarm Thresholds in Measurements with Systematic and Random Errors," Stats, MDPI, vol. 2(2), pages 1-13, May.
    3. Mathew, Thomas & Young, Derek S., 2013. "Fiducial-based tolerance intervals for some discrete distributions," Computational Statistics & Data Analysis, Elsevier, vol. 61(C), pages 38-49.
    4. Maryam Al-Kandari & Kingsley Adjenughwure & Kyriakos Papadopoulos, 2020. "A Fuzzy-Statistical Tolerance Interval from Residuals of Crisp Linear Regression Models," Mathematics, MDPI, vol. 8(9), pages 1-10, August.
    5. Ilaria Lucrezia Amerise, 2023. "A direct method for constructing distribution-free tolerance regions," Quality & Quantity: International Journal of Methodology, Springer, vol. 57(5), pages 3941-3954, October.
    6. Penelope S. Pooler & Philip E. Goodrum & Deana Crumbling & Leah D. Stuchal & Stephen M. Roberts, 2018. "Incremental Sampling Methodology: Applications for Background Screening Assessments," Risk Analysis, John Wiley & Sons, vol. 38(1), pages 194-209, January.
    7. Thurnher, Christopher & Klopf, Mario & Hasenauer, Hubert, 2017. "MOSES – A tree growth simulator for modelling stand response in Central Europe," Ecological Modelling, Elsevier, vol. 352(C), pages 58-76.
    8. Guillermo Vinue & Irene Epifanio, 2021. "Robust archetypoids for anomaly detection in big functional data," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 15(2), pages 437-462, June.
    9. Shin‐Fu Tsai, 2020. "Approximate two‐sided tolerance intervals for normal mixture distributions," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 62(3), pages 367-382, September.
    10. Chen, Cathy W.S. & Lin, Tsai-Yu, 2017. "Nonparametric tolerance limits for pair trading," Finance Research Letters, Elsevier, vol. 21(C), pages 1-9.
    11. Kyung Serk Cho & Hon Keung Tony Ng, 2021. "Tolerance intervals in statistical software and robustness under model misspecification," Journal of Statistical Distributions and Applications, Springer, vol. 8(1), pages 1-49, December.
    12. Ngan Hoang-Nguyen-Thuy & K. Krishnamoorthy, 2021. "A method for computing tolerance intervals for a location-scale family of distributions," Computational Statistics, Springer, vol. 36(2), pages 1065-1092, June.
    13. Lin, Tsai-Yu & Chen, Cathy W.S. & Syu, Fong-Yi, 2021. "Multi-asset pair-trading strategy: A statistical learning approach," The North American Journal of Economics and Finance, Elsevier, vol. 55(C).
    14. Young, D.S., 2013. "Approximate tolerance limits for Zipf–Mandelbrot distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(7), pages 1702-1711.

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