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Communications in Statistics - Theory and Methods Volume 29, 2000 - Issue 11
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Original Articles

The wrapped skew-normal distribution on the circle

Arthur Pewsey Departamento de Matematicas, Escuela Politecnica, Universidad de Extremadura, Caceres, 10071, Spain E-mail: [email protected]
Pages 2459-2472 | Received 01 Apr 2000, Published online: 23 Jul 2008

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Kahina Bedouhene & Nabil Zougab. (2022) Nonparametric multiplicative bias correction for von Mises kernel circular density estimator. Communications in Statistics - Simulation and Computation 51:3, pages 774-792.
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Shogo Kato & M. C. Jones. (2010) A Family of Distributions on the Circle With Links to, and Applications Arising From, Möbius Transformation. Journal of the American Statistical Association 105:489, pages 249-262.
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Articles from other publishers (49)

Stanislav Zámečník, Ivana Horová, Stanislav Katina & Kamila Hasilová. (2023) An adaptive method for bandwidth selection in circular kernel density estimation. Computational Statistics 39:4, pages 1709-1728.
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Jose Ameijeiras-Alonso. (2024) A reliable data-based smoothing parameter selection method for circular kernel estimation. Statistics and Computing 34:2.
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Fatemeh Shahsanaei & Rahim Chinipardaz. (2024) Weighted circular distributions. Journal of Computational and Applied Mathematics 436, pages 115376.
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SungBum Kim & Hyoung-Moon Kim. (2022) Series form of the characteristic functions of scale mixtures of multivariate skew-normal distributions. Mathematics and Computers in Simulation 198, pages 172-187.
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M. Cobos, P. Otiñar, P. Magaña, A. Lira-Loarca & A. Baquerizo. (2022) MarineTools.temporal: A Python package to simulate Earth and environmental time series. Environmental Modelling & Software 150, pages 105359.
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Rendao Ye, Bingni Fang, Weixiao Du, Kun Luo & Yiting Lu. (2022) Bootstrap Tests for the Location Parameter under the Skew-Normal Population with Unknown Scale Parameter and Skewness Parameter. Mathematics 10:6, pages 921.
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Adelchi Azzalini. (2022) An overview on the progeny of the skew-normal family— A personal perspective. Journal of Multivariate Analysis 188, pages 104851.
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Richard A. Johnson. 2022. Directional Statistics for Innovative Applications. Directional Statistics for Innovative Applications 147 158 .
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Najmeh Nakhaei Rad, Andriette Bekker & Mohammad Arashi. (2021) Bayesian inference for skew-wrapped Cauchy mixture model using a modified Gibbs sampler. Bayesian inference for skew-wrapped Cauchy mixture model using a modified Gibbs sampler.
Arthur Pewsey & Eduardo García-Portugués. (2021) Recent advances in directional statistics. TEST 30:1, pages 1-58.
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Fatemeh Hassanzadeh. (2020) A smoothing spline model for multimodal and skewed circular responses: Applications in meteorology and oceanography. Environmetrics 32:2.
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Vitaliy P. Babak, Serhii V. Babak, Volodymyr S. Eremenko, Yurii V. Kuts, Mykhailo V. Myslovych, Leonid M. Scherbak & Artur O. ZaporozhetsVitaliy P. Babak, Serhii V. Babak, Volodymyr S. Eremenko, Yurii V. Kuts, Mykhailo V. Myslovych, Leonid M. Scherbak & Artur O. Zaporozhets. 2021. Models and Measures in Measurements and Monitoring. Models and Measures in Measurements and Monitoring 61 97 .
Jun Zhao, Sung-Bum Kim, Seog-Jin Kim & Hyoung-Moon Kim. (2020) Simple New Proofs of the Characteristic Functions of the F and Skew-Normal Distributions. Symmetry 12:12, pages 2041.
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Mojtaba Hatami & Mohammad Hossein Alamatsaz. (2019) Skew-symmetric circular distributions and their structural properties. Indian Journal of Pure and Applied Mathematics 50:4, pages 953-969.
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Arnab Kumar Laha, A. C. Pravida Raja & K. C. Mahesh. (2016) SB-robust estimation of mean direction for some new circular distributions. Statistical Papers 60:3, pages 877-902.
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Cornelis J. Potgieter. 2019. Statistical Quality Technologies. Statistical Quality Technologies 127 150 .
Heng-Ru Zhang, Fan Min, Yan-Xue Wu, Zhuo-Lin Fu & Lei Gao. (2018) Magic barrier estimation models for recommended systems under normal distribution. Applied Intelligence 48:12, pages 4678-4693.
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. 2018. Fundamental Statistical Inference. Fundamental Statistical Inference 537 560 .
Arthur Pewsey. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online 1 10 .
Sungsu Kim & Ashis SenGupta. 2018. Statistics and its Applications. Statistics and its Applications 25 33 .
Saralees Nadarajah & Yuanyuan Zhang. (2017) Wrapped: An R package for circular data. PLOS ONE 12:12, pages e0188512.
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S. Rao Jammalamadaka & Tomasz J. Kozubowski. (2017) A General Approach for Obtaining Wrapped Circular Distributions via Mixtures. Sankhya A 79:1, pages 133-157.
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F. Lombard, Douglas M. Hawkins & Cornelis J. Potgieter. (2017) Sequential rank CUSUM charts for angular data. Computational Statistics & Data Analysis 105, pages 268-279.
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Gianluca Mastrantonio, Alan E. Gelfand & Giovanna Jona Lasinio. (2015) The wrapped skew Gaussian process for analyzing spatio-temporal data. Stochastic Environmental Research and Risk Assessment 30:8, pages 2231-2242.
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Mario Costa, Visa Koivunen & H. Vincent Poor. (2014) Estimating Directional Statistics Using Wavefield Modeling and Mixtures of von-Mises Distributions. IEEE Signal Processing Letters 21:12, pages 1496-1500.
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Dae-Kun Song, Seul-Ki Kang & Hyoung-Moon Kim. (2014) Further Results on Characteristic Functions Without Contour Integration. Communications for Statistical Applications and Methods 21:5, pages 461-469.
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Carl Lee, Felix Famoye & Ayman Y. Alzaatreh. (2013) Methods for generating families of univariate continuous distributions in the recent decades. WIREs Computational Statistics 5:3, pages 219-238.
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M. Oliveira, R.M. Crujeiras & A. Rodríguez-Casal. (2012) A plug-in rule for bandwidth selection in circular density estimation. Computational Statistics & Data Analysis 56:12, pages 3898-3908.
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Hye-Kyung Yu, Kyoung-Ho Jun & Jong-Hwa Na. (2012) Modeling Circular Data with Uniformly Dispersed Noise. Korean Journal of Applied Statistics 25:4, pages 651-659.
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K Jayakumar & Sophy Jacob. (2012) Wrapped Skew Laplace Distribution on Integers:A New Probability Model for Circular Data. Open Journal of Statistics 02:01, pages 106-114.
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Hyoung-Moon Kim & Marc G. Genton. (2011) Characteristic functions of scale mixtures of multivariate skew-normal distributions. Journal of Multivariate Analysis 102:7, pages 1105-1117.
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Toshihiro Abe & Arthur Pewsey. (2009) Sine-skewed circular distributions. Statistical Papers 52:3, pages 683-707.
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Jong-Hwa Na & Young-Mi Jang. (2011) Modeling on Daily Traffic Volume of Local State Road Using Circular Mixture Distributions. Korean Journal of Applied Statistics 24:3, pages 547-557.
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Simon A. Broda & Marc S. Paolella. 2011. Statistical Tools for Finance and Insurance. Statistical Tools for Finance and Insurance 57 99 .
Hyoung-Moon Kim. (2010) A Projected Exponential Family for Modeling Semicircular Data. Korean Journal of Applied Statistics 23:6, pages 1125-1145.
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Alan Lee. (2010) Circular data. WIREs Computational Statistics 2:4, pages 477-486.
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M. Masoom Ali, Jungsoo Woo & Saralees Nadarajah. (2010) Some skew symmetric inverse reflected distributions. Brazilian Journal of Probability and Statistics 24:1.
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William J. Reed & Arthur Pewsey. (2008) Two nested families of skew-symmetric circular distributions. TEST 18:3, pages 516-528.
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Han-Son Seo, Jong-Kyun Shin & Hyoung-Moon Kim. (2009) Projected Circular and l-Axial Skew-Normal Distributions. Korean Journal of Applied Statistics 22:4, pages 879-891.
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Hyoung-Moon Kim. (2009) New Family of the Exponential Distributions for Modeling Skewed Semicircular Data. Korean Journal of Applied Statistics 22:1, pages 205-220.
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Shogo Kato & Kunio Shimizu. (2008) Dependent models for observations which include angular ones. Journal of Statistical Planning and Inference 138:11, pages 3538-3549.
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R. McVinish & K. Mengersen. (2008) Semiparametric Bayesian circular statistics. Computational Statistics & Data Analysis 52:10, pages 4722-4730.
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Hai-Yen Siew, Shogo Kato & Kunio Shimizu. (2008) The Generalized t-Distribution on the Circle. Japanese Journal of Applied Statistics 37:1, pages 1-16.
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Arthur Pewsey. (2008) The wrapped stable family of distributions as a flexible model for circular data. Computational Statistics & Data Analysis 52:3, pages 1516-1523.
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Arthur Pewsey. (2006) Modelling asymmetrically distributed circular data using the wrapped skew-normal distribution. Environmental and Ecological Statistics 13:3, pages 257-269.
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ADELCHI AZZALINI. (2005) The Skew-normal Distribution and Related Multivariate Families*. Scandinavian Journal of Statistics 32:2, pages 159-188.
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Arjun K. Gupta, Truc T. Nguyen & Jose Almer T. Sanqui. (2004) Characterization of the skew-normal distribution. Annals of the Institute of Statistical Mathematics 56:2, pages 351-360.
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Arthur Pewsey. (2008) Testing circular symmetry. Canadian Journal of Statistics 30:4, pages 591-600.
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