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Tolerance intervals for exponentiated scale family of distributions

Author

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  • D. T. Shirke
  • R. R. Kumbhar
  • D. Kundu

Abstract

In this article we provide an asymptotic upper β-expectation and β-content γ-level tolerance intervals for a new family of distributions, namely the Exponentiated Scale family of distributions. Expected coverage of a proposed β-expectation Tolerance Interval is obtained. Bootstrap-based tolerance limits are obtained for data arising from an exponentiated exponential distribution.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:32:y:2005:i:10:p:1067-1074
    DOI: 10.1080/02664760500165297
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    References listed on IDEAS

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    1. William C. Guenther, 1972. "Tolerance intervals for univariate distributions," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 19(2), pages 309-333, June.
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    Cited by:

    1. Saralees Nadarajah, 2011. "The exponentiated exponential distribution: a survey," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 95(3), pages 219-251, September.
    2. Sonal Budhiraja & Biswabrata Pradhan, 2020. "Point and interval estimation under progressive type-I interval censoring with random removal," Statistical Papers, Springer, vol. 61(1), pages 445-477, February.
    3. Fernández, Arturo J., 2010. "Two-sided tolerance intervals in the exponential case: Corrigenda and generalizations," Computational Statistics & Data Analysis, Elsevier, vol. 54(1), pages 151-162, January.
    4. Korkmaz Mustafa Ç. & Yousof Haitham M., 2017. "The One-Parameter Odd Lindley Exponential Model: Mathematical Properties and Applications," Stochastics and Quality Control, De Gruyter, vol. 32(1), pages 25-35, June.
    5. S. Nadarajah & S. Bakar, 2013. "A new R package for actuarial survival models," Computational Statistics, Springer, vol. 28(5), pages 2139-2160, October.
    6. Christopher Withers & Saralees Nadarajah, 2014. "A unified method for constructing expectation tolerance intervals," Statistical Papers, Springer, vol. 55(4), pages 951-965, November.

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