The wrapped skew-normal distribution on the circle |
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| Authors: | Arthur Pewsey |
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| Affiliation: | Departamento de Matematicas, Escuela Politecnica , Universidad de Extremadura , Caceres, 10071, Spain E-mail: apewsey@guadiana.unex.es |
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| Abstract: | 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. |
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| Keywords: | bird flight headings circular model computer intensive methods large-sample theory: method of moments skew-normal distribution skewness |
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