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On a goodness of fit test for the Cauchy distribution

Statistics Theory 2016-11-21 v1 Statistics Theory

Abstract

The paper discusses a test for the hypothesis that a random sample comes from the Cauchy distribution. The test statistics is derived from a characterization and is based on the characteristic function. Properties of the test are discussed and its performance measured by simulations. The test presented turns out to be extremely powerful in a wide range of alternatives.

Keywords

Cite

@article{arxiv.1611.06129,
  title  = {On a goodness of fit test for the Cauchy distribution},
  author = {Emanuele Taufer},
  journal= {arXiv preprint arXiv:1611.06129},
  year   = {2016}
}

Comments

10 pages, 3 tables