On optimal tests for circular reflective symmetry about an unknown central direction
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DOI: 10.1007/s00362-019-01150-7
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- Oliveira, M. & Crujeiras, R.M. & Rodríguez-Casal, A., 2012. "A plug-in rule for bandwidth selection in circular density estimation," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 3898-3908.
- Jupp, P.E. & Regoli, G. & Azzalini, A., 2016. "A general setting for symmetric distributions and their relationship to general distributions," Journal of Multivariate Analysis, Elsevier, vol. 148(C), pages 107-119.
- M. C. Jones & Arthur Pewsey, 2012. "Inverse Batschelet Distributions for Circular Data," Biometrics, The International Biometric Society, vol. 68(1), pages 183-193, March.
- M. Bogdan & K. Bogdan & A. Futschik, 2002. "A Data Driven Smooth Test for Circular Uniformity," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(1), pages 29-44, March.
- Adelchi Azzalini & Antonella Capitanio, 2003. "Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t‐distribution," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 65(2), pages 367-389, May.
- Umbach, Dale & Jammalamadaka, S. Rao, 2009. "Building asymmetry into circular distributions," Statistics & Probability Letters, Elsevier, vol. 79(5), pages 659-663, March.
- Toshihiro Abe & Arthur Pewsey, 2011. "Sine-skewed circular distributions," Statistical Papers, Springer, vol. 52(3), pages 683-707, August.
- Arthur Pewsey, 2004. "Testing for Circular Reflective Symmetry about a Known Median Axis," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(5), pages 575-585.
- Shogo Kato & M. C. Jones, 2015. "A tractable and interpretable four-parameter family of unimodal distributions on the circle," Biometrika, Biometrika Trust, vol. 102(1), pages 181-190.
- Jones, M.C. & Pewsey, Arthur, 2005. "A Family of Symmetric Distributions on the Circle," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 1422-1428, December.
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Cited by:
- Ameijeiras-Alonso, Jose & Gijbels, Irène & Verhasselt, Anneleen, 2022. "On a family of two–piece circular distributions," Computational Statistics & Data Analysis, Elsevier, vol. 168(C).
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Keywords
Circular statistics; Le Cam asymptotic theory; Semi-parametric tests; Sine-skewed distributions;All these keywords.
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