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The large-sample joint distribution of key circular statistics

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  • Arthur Pewsey

Abstract

In this paper we derive the large-sample asymptotic joint distribution of the statistics [InlineMediaObject not available: see fulltext.] used as fundamental measures of central location, concentration, skewness and kurtosis in the analysis of circular data. The importance of the distributional result in relation to inference for the corresponding population measures is illustrated, with various new confidence set constructions being derived and applied in the analysis of data from an animal orientation experiment. Copyright Springer-Verlag 2004

Suggested Citation

  • Arthur Pewsey, 2004. "The large-sample joint distribution of key circular statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 60(1), pages 25-32, July.
    • Handle: RePEc:spr:metrik:v:60:y:2004:i:1:p:25-32
    DOI: 10.1007/s001840300294
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    Cited by:

    1. Kanti V. Mardia & Karthik Sriram, 2023. "Families of Discrete Circular Distributions with Some Novel Applications," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 1-42, February.
    2. Nuno Lourenço & António Rua, 2023. "Business cycle clocks: Time to get circular," Empirical Economics, Springer, vol. 65(4), pages 1513-1541, October.

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