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The wrapped skew-normal distribution on the circle. (English) Zbl 0992.62048
Summary: The wrapped skew-normal distribution is proposed as a model for circular data. Basic results for the distribution are established and estimation for a circular parametrisation of it considered. Procedures based on the sample second central sine moment for testing for departures from three important limiting cases of the distribution are described. The model and some new inferential techniques are applied to directional data from a study into bird migration.

MSC:
62H11 Directional data; spatial statistics
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[1] Azzalini A., Scand. J. Statist 12 pp 171– (1985)
[2] DOI: 10.1111/1467-9868.00194 · Zbl 0924.62050
[3] DOI: 10.1093/biomet/83.4.715 · Zbl 0885.62062
[4] Barndorff-Nielsen O., J. R. Statist. Soc 41 pp 279– (1979)
[5] Batschelet E., Amer. Inst. Biol. Sci (1965)
[6] Batschelet E., Circular Statistics in Biology (1981) · Zbl 0524.62104
[7] Bruderer B., in Bird Migration: Physiology and Ecophysiology pp 60– (1990)
[8] Fisher N. I., Statistical Analysis of Circular Data (1994)
[9] DOI: 10.1093/biomet/70.2.333
[10] Jones M. C., Recent Advances in Probability and Statistics, in Honor of T. Cacoullos (2000)
[11] Mardia K. V., Statistics of Directional Data (1972) · Zbl 0244.62005
[12] DOI: 10.1002/9780470316979
[13] Pewsey A., to appear in J. Appl. Statist 27 (2000)
[14] Pewsey A., submitted for publication 27 (2000)
[15] Schmidt W., Sitz. Kaiserl Akad. Wiss. Wien, Math, - nat. KL Abt, 1 126 pp 515– (1917)
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