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On a robustness property of the Rayleigh and Bingham tests of uniformity

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  • Schott, James R.

Abstract

It is shown that the standardized versions of the Rayleigh and Bingham statistics converge in distribution, under the null hypothesis, to standard normal random variables as the sample size and the number of variables both approach infinity.

Suggested Citation

  • Schott, James R., 2016. "On a robustness property of the Rayleigh and Bingham tests of uniformity," Statistics & Probability Letters, Elsevier, vol. 111(C), pages 55-59.
    • Handle: RePEc:eee:stapro:v:111:y:2016:i:c:p:55-59
    DOI: 10.1016/j.spl.2015.12.007
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    References listed on IDEAS

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    1. Jupp, P. E., 2001. "Modifications of the Rayleigh and Bingham Tests for Uniformity of Directions," Journal of Multivariate Analysis, Elsevier, vol. 77(1), pages 1-20, April.
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    Keywords

    High dimensionality; Uniform distribution;

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