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k-Boxplots for mixture data

Author

Listed:
  • Najla M. Qarmalah

    (Durham University)

  • Jochen Einbeck

    (Durham University)

  • Frank P. A. Coolen

    (Durham University)

Abstract

This article introduces a new graphical tool to summarize data which possess a mixture structure. Computation of the required summary statistics makes use of posterior probabilities of class membership which can be obtained from a fitted mixture model. Real and simulated data are used to highlight the usefulness of this tool for the visualization of mixture data in comparison to the traditional boxplot.

Suggested Citation

  • Najla M. Qarmalah & Jochen Einbeck & Frank P. A. Coolen, 2018. "k-Boxplots for mixture data," Statistical Papers, Springer, vol. 59(2), pages 513-528, June.
    • Handle: RePEc:spr:stpapr:v:59:y:2018:i:2:d:10.1007_s00362-016-0774-7
    DOI: 10.1007/s00362-016-0774-7
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    References listed on IDEAS

    as
    1. Fried, Roland & Einbeck, Jochen & Gather, Ursula, 2007. "Weighted Repeated Median Smoothing and Filtering," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 1300-1308, December.
    2. Jochen Einbeck & James Taylor, 2013. "A number-of-modes reference rule for density estimation under multimodality," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 67(1), pages 54-66, February.
    3. Hubert, M. & Vandervieren, E., 2008. "An adjusted boxplot for skewed distributions," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5186-5201, August.
    4. Biernacki, Christophe & Celeux, Gilles & Govaert, Gerard, 2003. "Choosing starting values for the EM algorithm for getting the highest likelihood in multivariate Gaussian mixture models," Computational Statistics & Data Analysis, Elsevier, vol. 41(3-4), pages 561-575, January.
    5. Ali Abuzaid & Ibrahim Mohamed & Abdul Hussin, 2012. "Boxplot for circular variables," Computational Statistics, Springer, vol. 27(3), pages 381-392, September.
    6. Polymenis, A. & Titterington, D. M., 1998. "On the determination of the number of components in a mixture," Statistics & Probability Letters, Elsevier, vol. 38(4), pages 295-298, July.
    Full references (including those not matched with items on IDEAS)

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