1,147
Views
27
CrossRef citations to date
0
Altmetric
Theory and Methods

A Cluster-Based Outlier Detection Scheme for Multivariate Data

Pages 1543-1551 | Received 01 Feb 2013, Published online: 15 Jan 2016

REFERENCES

  • Cerioli, A. (2010), Multivariate Outlier Detection With High-Breakdown Estimators, Journal of the American Statistical Association, 105, 147–156.
  • Chacón, J.E., Duong, T., Wand, M.P. (2011), Asymptotics for General Multivariate Kernel Density Derivative Estimators, Statistica Sinica, 21, 807–840.
  • Croux, C., Haesbroeck, G. (1999), Influence Function and Efficiency of the Minimum Covariance Determinant Scatter Matrix Estimator, Journal of Multivariate Analysis, 71, 161–190.
  • Davies, P.L. (1987), Asymptotic Behaviour of S-Estimates of Multivariate Location Parameter and Dispersion Matrices, The Annals of Statistics, 15, 1269–1292.
  • Flury, B., and Riedwyl, H. (1988), Multivariate Statistics: A Practical Approach, London: Chapman & Hall.
  • Hardin, J., Rocke, D.M. (2005), The Distribution of Robust Distances, Journal of Computational and Graphical Statistics, 14, 910–927.
  • Härdle, W.K., Müller, M., Sperlich, S., and Werwatz, A. (2004), Nonparametric and Semiparametric Models, Berlin, Heidleberg: Springer.
  • Hawkins, D.M., Olive, D.J. (1999), Improved Feasible Solution Algorithms for High Breakdown Estimation, Computational Statistics and Data Analysis, 30, 1–11.
  • Jensen, W.A., Birch, J.B., Woodall, W.H. (2007), High Breakdown Estimation Methods for Phase I Multivariate Control Charts, Quality and Reliability Engineering International, 23, 615–629.
  • Jobe, J.M., Pokojovy, M. (2009), A Multistep, Cluster-Based Multivariate Chart for Retrospective Monitoring of Individuals, Journal of Quality Technology, 41, 323–339.
  • Li, J., Ray, S., Lindsay, B.G. (2007), A Nonparametric Statistical Approach to Clustering via Mode Identification, Journal of Machine Learning Research, 8, 1687–1723.
  • Lopuhaä, H.P., Rousseeuw, P.J. (1991), Breakdown Points of Affine Equivariant Estimators of Multivariate Location and Covariance Matrices, The Annals of Statistics, 19, 229–248.
  • Parzen, E. (1962), On Estimation of Probability Density Function and Mode, Annals of Mathematical Statistics, 33, 1065–1076.
  • Pison, G., Van Aelst, S., Willems, G. (2002), Small Sample Corrections for LTS and MCD, Metrika, 44, 111–123.
  • Rousseeuw, P.J., and Leroy, A. (1987), Robust Regression and Outlier Detection, New York: Wiley.
  • Rousseeuw, P.J., van Driessen, K. (1999), A Fast Algorithm for the Minimum Covariance Determinant Estimator, Technometrics, 41, 212–223.
  • Scott, D.W. (1992), Multivariate Density Estimation: Theory, Practice and Visualization, Hoboken, NJ: Wiley.
  • Tracy, N.D., Young, J.C., Mason, R.L. (1992), Multivariate Control Charts for Individual Observations, Journal of Quality Technology, 24, 88–95.
  • Vardeman, S.B., and Jobe, J.M. (1999), Statistical Quality Assurance Methods for Engineers. New York: Wiley.
  • Wierda, S.J. (1994), Multivariate Statistical Process Control—Recent Results and Directions for Future Research, Statistica Neerlandica, 48, 147–168.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.