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Short Technical Note

On Simulating Skewed and Cluster-Weighted Data for Studying Performance of Clustering Algorithms

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Pages 303-309 | Received 16 Jun 2022, Accepted 10 Apr 2023, Published online: 20 Jul 2023

References

  • Anderson, E. (1935), “The Irises of the Gaspe Peninsula,” Bulletin of the American Iris Society, 59, 2–5.
  • Box, G. E., and Cox, D. R. (1964), “An Analysis of Transformations,” Journal of the Royal Statistical Society, Series B, 26, 211–252. DOI: 10.1111/j.2517-6161.1964.tb00553.x.
  • Campbell, N. A., and Mahon, R. J. (1974), “A Multivariate Study of Variation in Two Species of Rock Crab of Genus Leptograsus,” Australian Journal of Zoology, 22, 417–425. DOI: 10.1071/ZO9740417.
  • Davies, R. (1980), “The Distribution of a Linear Combination of χ2 Random Variables,” Applied Statistics, 29, 323–333.
  • Gallaugher, M., Tomarchio, S., McNicholas, P., and Punzo, A. (2022), “Model-based Clustering via Skewed Matrix-Variate Cluster-Weighted Models,” Journal of Statistical Computation and Simulation, 92, 1–22. DOI: 10.1080/00949655.2022.2084093.
  • Gershenfeld, N. (1997), “Nonlinear Inference and Cluster-Weighted Modeling,” Annals of the New York Academy of Sciences, 808, 18–24. DOI: 10.1111/j.1749-6632.1997.tb51651.x.
  • Gershenfeld, N. (1999), “Cluster-Weighted Modelling for Time-Series Analysis,” Nature, 397, 329–332.
  • Lo, K., and Gottardo, R. (2012), “Flexible Mixture Modeling via the Multivariate t Distribution with the Box-Cox Transformation: An Alternative to the Skew t Distribution,” Statistics and Computing, 22, 35–52. DOI: 10.1007/s11222-010-9204-1.
  • Lo, K., Hahne, F., Brinkman, R., and Gottardo, R. (2009), “flowClust: A Bioconductor Package for Automated Gating of Flow Cytometry Data,” BMC Bioinformatics, 10, R145. DOI: 10.1186/1471-2105-10-145.
  • Maitra, R., and Melnykov, V. (2010), “Simulating Data to Study Performance of Finite Mixture Modeling and Clustering Algorithms,” Journal of Computational and Graphical Statistics, 2, 354–376. DOI: 10.1198/jcgs.2009.08054.
  • Manly, B. F. J. (1976), “Exponential Data Transformations,” Journal of the Royal Statistical Society, Series D, 25, 37–42. DOI: 10.2307/2988129.
  • Mardia, K. (1970), “Measures of Multivariate Skewness and Kurtosis with Applications,” Biometrika, 57, 519–530. DOI: 10.1093/biomet/57.3.519.
  • Melnykov, V., Chen, W.-C., and Maitra, R. (2012), “MixSim: An R Package for Simulating Data to Study Performance of Clustering Algorithms,” Journal of Statistical Software, 51, 1–25. DOI: 10.18637/jss.v051.i12.
  • Riani, M., Cerioli, A., Perrotta, D., and Torti, F. (2015), “Simulating Mixtures of Multivariate Data with Fixed Cluster Overlap in FSDA,” Advances in Data Analysis and Classification, 9, 461–481. DOI: 10.1007/s11634-015-0223-9.
  • Torti, F., Perrotta, D., Riani, M., and Cerioli, A. (2019), “Assessing Trimming Methodologies for Clustering Linear Regression Data,” Advances in Data Analysis and Classification, 13, 227–257. DOI: 10.1007/s11634-018-0331-4.
  • Yeo, I.-K., and Johnson, R. A. (2000), “A New Family of Power Transformations to Improve Normality or Symmetry,” Biometrika, 87, 954–959. DOI: 10.1093/biomet/87.4.954.
  • Zhu, X., and Melnykov, V. (2017), “ManlyMix: An R Package for Manly Mixture Modeling,” The R journal, 9, 176–197. DOI: 10.32614/RJ-2017-060.
  • Zhu, X., and Melnykov, V. (2018), “Manly Transformation in Finite Mixture Modeling,” Computational Statistics and Data Analysis, 121, 190–208.
  • Zhu, X., and Melnykov, V. (2020), MatTransMix: An R Package for Clustering Matrices, R package version 0.1.9.

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