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A plug-in rule for bandwidth selection in circular density estimation

Published: 01 December 2012 Publication History

Abstract

A new plug-in rule procedure for bandwidth selection in kernel circular density estimation is introduced. The performance of this proposal is checked throughout a simulation study considering a variety of circular distributions exhibiting multimodality, peakedness and/or skewness. The plug-in rule behavior is also compared with other existing bandwidth selectors. The method is illustrated with some classical datasets.

References

[1]
Symmetric circular models through duplication and cosine perturbation. Computational Statistics and Data Analysis. v55. 3271-3282.
[2]
Clustering on the unit hypersphere using von Mises-Fisher distributions. Journal of Machine Learning Research. v6. 1345-1382.
[3]
Circular Statistics in Biology. Academic Press, New York.
[4]
Relative efficiency of local bandwidths in kernel density estimation. Statistics. v35. 113-137.
[5]
Local polynomial regression for circular predictors. Statistics & Probability Letters. v79. 2066-2075.
[6]
Kernel density estimation on the torus. Journal of Statistical Planning and Inference. v141. 2156-2173.
[7]
An assessment of finite sample performance of adaptive methods in density estimation. Computational Statistics and Data Analysis. v30. 143-178.
[8]
Statistical Analysis of Circular Data. Cambridge University Press, Cambridge, UK.
[9]
Kernel density estimation for spherical data. Biometrika. v74. 751-762.
[10]
Contribution to the bandwidth choice for kernel density estimates. Computational Statistics. v22. 31-47.
[11]
Topics in Circular Statistics. World Scientific, Singapore.
[12]
Inverse Batschelet distributions for circular data. Biometrics. v68. 183-193.
[13]
Estimation of densities and derivatives of densities with directional data. Journal of Multivariate Analysis. v73. 18-40.
[14]
Statistics of Directional Data. Academic Press, New York.
[15]
Directional Statistics. Wiley, New York.
[16]
Local data-driven bandwidth choice for density estimation. Journal of Statistical Planning and Inference. v23. 53-69.
[17]
Fitting mixtures of von Mises distributions: a case study involving sudden infant death syndrome. Computational Statistics and Data Analysis. v41. 505-513.
[18]
Nonparametric circular methods for exploring environmental data. Environmental and Ecological Statistics.
[19]
The wrapped skew-normal distribution on the circle. Communications in Statistics Theory and Methods. v29. 2459-2472.
[20]
Testing for circular reflective symmetry about a known median axis. Journal of Applied Statistics. v31. 575-585.
[21]
Modelling asymmetrically distributed circular data using the wrapped skew-normal distribution. Environmental and Ecological Statistics. v13. 257-269.
[22]
R Development Core Team, 2011. R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria.
[23]
Statistical analysis of cross-bedding azimuths from the Kamthi formation around Bheemaram, Pranhita: Godavari Valley. Sankhy¿: The Indian Journal of Statistics, Series B. v28. 165-174.
[24]
An data-based algorithm for choosing the window width when estimating the density at a point. Computational Statistics and Data Analysis. v1. 229-239.
[25]
An improved data-based algorithm for choosing the window width when estimating the density at a point. Computational Statistics and Data Analysis. v4. 61-65.
[26]
Density Estimation for Statistics and Data Analysis. Chapman and Hall, London.
[27]
Bootstrap choice of the smoothing parameter in kernel density estimation. Biometrika. v76. 705-712.
[28]
Automatic bandwidth selection for circular density estimation. Computational Statistics and Data Analysis. v52. 3493-3500.

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Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 01 December 2012

Author Tags

  1. Bandwidth selection
  2. Circular density
  3. Kernel estimator
  4. Plug-in rule
  5. von Mises distribution

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  • (2024)A reliable data-based smoothing parameter selection method for circular kernel estimationStatistics and Computing10.1007/s11222-024-10384-x34:2Online publication date: 7-Feb-2024
  • (2024)An adaptive method for bandwidth selection in circular kernel density estimationComputational Statistics10.1007/s00180-023-01401-039:4(1709-1728)Online publication date: 1-Jun-2024
  • (2023)Density estimation for toroidal data using semiparametric mixturesStatistics and Computing10.1007/s11222-023-10305-433:6Online publication date: 16-Oct-2023
  • (2022)Nonparametric estimation of directional highest density regionsAdvances in Data Analysis and Classification10.1007/s11634-021-00457-416:3(761-796)Online publication date: 1-Sep-2022
  • (2022)Statistical modeling of directional data using a robust hierarchical von mises distribution model: perspectives for wind energyComputational Statistics10.1007/s00180-021-01173-537:4(1599-1619)Online publication date: 1-Sep-2022
  • (2017)Directional Data Classification Using a Hierarchical Model of Von Mises DistributionProceedings of the 2nd international Conference on Big Data, Cloud and Applications10.1145/3090354.3090425(1-6)Online publication date: 29-Mar-2017
  • (2014)A Bayesian model for longitudinal circular data based on the projected normal distributionComputational Statistics & Data Analysis10.5555/2749482.274994071:C(506-519)Online publication date: 1-Mar-2014

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