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Tests for Many Outliers in an Exponential Sample

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  • A. C. Kimber

Abstract

A sequential procedure for testing up to k upper outliers in an exponential sample is proposed. The important special cases k = 2, 3, 4 are considered in detail and appropriate critical values tabulated. The flexibility of this procedure compared to existing tests is demonstrated using sensitivity contours and examples. A companion procedure for testing for lower outliers is also considered.

Suggested Citation

  • A. C. Kimber, 1982. "Tests for Many Outliers in an Exponential Sample," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 31(3), pages 263-271, November.
    • Handle: RePEc:bla:jorssc:v:31:y:1982:i:3:p:263-271
    DOI: 10.2307/2348000
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    Cited by:

    1. Nirpeksh Kumar, 2013. "A procedure for testing suspected observations," Statistical Papers, Springer, vol. 54(2), pages 471-478, May.
    2. Lin, Chien-Tai & Balakrishnan, N., 2009. "Exact computation of the null distribution of a test for multiple outliers in an exponential sample," Computational Statistics & Data Analysis, Elsevier, vol. 53(9), pages 3281-3290, July.
    3. Chien-Tai Lin & Shih-Chun Wang, 2015. "Discordancy tests for two-parameter exponential samples," Statistical Papers, Springer, vol. 56(2), pages 569-582, May.
    4. S. Lalitha & Pratyasha Tripathi, 2018. "Detection of a pair of outliers in a sample from a Gumbel distribution with known scale parameter," Journal of Applied Statistics, Taylor & Francis Journals, vol. 45(2), pages 243-254, January.
    5. Vilijandas Bagdonavičius & Linas Petkevičius, 2020. "Multiple Outlier Detection Tests for Parametric Models," Mathematics, MDPI, vol. 8(12), pages 1-23, December.
    6. Chien-Tai Lin & Ying-Chen Lee & Narayanaswamy Balakrishnan, 2019. "Package mTEXO for testing the presence of outliers in exponential samples," Computational Statistics, Springer, vol. 34(2), pages 803-818, June.
    7. Nirpeksh Kumar, 2019. "Exact distributions of tests of outliers for exponential samples," Statistical Papers, Springer, vol. 60(6), pages 2031-2061, December.

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