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Characterizations of normal distributions and EDF goodness-of-fit tests

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Abstract

Two characterizations of a normal distribution with an unknown variance based on the corresponding UMVU estimators of the density functions are given, depending on whether its mean is known, or unknown. Applications of these characterization results in the procedures to construct empirical distribution function (EDF) goodness-of-fit tests for normal distributions are mentioned.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Bowling Green State University, , , OH 43403-0221, Bowling Green, USA

    Truc T. Nguyen

  2. US Environmental Protection Agency, US Environmental Protection Agency, , , DC 20460, Washington, USA

    Khoan T. Dinh

Authors
  1. Truc T. Nguyen
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  2. Khoan T. Dinh
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Corresponding authors

Correspondence to Truc T. Nguyen or Khoan T. Dinh.

Additional information

Received April 2000/Revised April 2002

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Nguyen, T.T., Dinh, K.T. Characterizations of normal distributions and EDF goodness-of-fit tests. Metrika 58, 149–157 (2003). https://doi.org/10.1007/s001840200233

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  • DOI: https://doi.org/10.1007/s001840200233

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