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Tolerance intervals for univariate distributions

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  • William C. Guenther

Abstract

A review of univariate tolerance intervals is presented from an application‐oriented point of view. Both β‐content and β‐expectation intervals are defined and considered. Standard problems are discussed for the distribution‐free case and with various distributional assumptions (normal, gamma, Poisson) which occur most frequently in practice. The determination of sample size is emphasized. A number of examples are used to illustrate the types of problems which permit solutions with the excellent tables now available.

Suggested Citation

  • William C. Guenther, 1972. "Tolerance intervals for univariate distributions," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 19(2), pages 309-333, June.
  • Handle: RePEc:wly:navlog:v:19:y:1972:i:2:p:309-333
    DOI: 10.1002/nav.3800190208
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    Cited by:

    1. D. T. Shirke & R. R. Kumbhar & D. Kundu, 2005. "Tolerance intervals for exponentiated scale family of distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(10), pages 1067-1074.

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