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A Cluster-Based Outlier Detection Scheme for Multivariate Data

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  • J. Marcus Jobe
  • Michael Pokojovy

Abstract

Detection power of the squared Mahalanobis distance statistic is significantly reduced when several outliers exist within a multivariate dataset of interest. To overcome this masking effect, we propose a computer-intensive cluster-based approach that incorporates a reweighted version of Rousseeuw’s minimum covariance determinant method with a multi-step cluster-based algorithm that initially filters out potential masking points. Compared to the most robust procedures, simulation studies show that our new method is better for outlier detection. Additional real data comparisons are given. Supplementary materials for this article are available online.

Suggested Citation

  • J. Marcus Jobe & Michael Pokojovy, 2015. "A Cluster-Based Outlier Detection Scheme for Multivariate Data," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(512), pages 1543-1551, December.
  • Handle: RePEc:taf:jnlasa:v:110:y:2015:i:512:p:1543-1551
    DOI: 10.1080/01621459.2014.983231
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    Cited by:

    1. Rodrigo Puentes & Carolina Marchant & Víctor Leiva & Jorge I. Figueroa-Zúñiga & Fabrizio Ruggeri, 2021. "Predicting PM2.5 and PM10 Levels during Critical Episodes Management in Santiago, Chile, with a Bivariate Birnbaum-Saunders Log-Linear Model," Mathematics, MDPI, vol. 9(6), pages 1-24, March.

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