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Stability of characterizations of normal distributions based on the conditional expected values of the sample skewness and the sample kurtosis

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Abstract.

Characterizations of normal distributions given by Nguyen and Dinh (1998) based on conditional expected values of the sample skewness and the sample kurtosis, given the sample mean and the sample variance, are shown to be stable.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403-0221, USA (e-mail: tnguyen@bgnet.bgsu.edu), , , , , , US

    Truc T. Nguyen

  2. US Environmental Protection Agency, Washington, DC 20460, USA (e-mail: dinh.khoan@epamail.epa.gov), , , , , , US

    Khoan T. Dinh

Authors
  1. Truc T. Nguyen
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  2. Khoan T. Dinh
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Received: September 1998

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Nguyen, T., Dinh, K. Stability of characterizations of normal distributions based on the conditional expected values of the sample skewness and the sample kurtosis. Metrika 49, 147–158 (1999). https://doi.org/10.1007/s001840050031

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  • DOI: https://doi.org/10.1007/s001840050031

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