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A procedure for testing suspected observations

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  • Nirpeksh Kumar

Abstract

The problem of multiple outliers detection in one-parameter exponential family is considered. The outlier detection procedure involves two estimates of scale parameter which are obtained by maximizing two log-likelihoods; the complete data log-likelihood and its conditional expectation given suspected observations. The procedure is also applied to the exponential and normal samples. Copyright Springer-Verlag 2013

Suggested Citation

  • Nirpeksh Kumar, 2013. "A procedure for testing suspected observations," Statistical Papers, Springer, vol. 54(2), pages 471-478, May.
  • Handle: RePEc:spr:stpapr:v:54:y:2013:i:2:p:471-478
    DOI: 10.1007/s00362-012-0444-3
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    References listed on IDEAS

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    1. Vic Barnett, 1978. "The Study of Outliers: Purpose and Model," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 27(3), pages 242-250, November.
    2. Jong-Wuu Wu, 2001. "A note on determining the number of outliers in an exponential sample by least squares procedure," Statistical Papers, Springer, vol. 42(4), pages 489-503, October.
    3. 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.
    4. 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.
    5. A. C. Kimber, 1979. "Tests for a Single Outlier in a Gamma Sample with Unknown Shape and Scale Parameters," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 28(3), pages 243-250, November.
    6. Jin Zhang, 1998. "Tests for multiple upper or lower outliers in an exponential sample," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(2), pages 245-255.
    7. A. C. Kimber & H. J. Stevens, 1981. "The Null Distribution of a Test for Two Upper Outliers in an Exponential Sample," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 30(2), pages 153-157, June.
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    Cited by:

    1. 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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