Skip to main content

A New Measure of Outlier Detection Performance

  • Conference paper
Machine Learning and Data Mining in Pattern Recognition (MLDM 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8556))

Abstract

Traditionally, the performance of statistical tests for outlier detection is evaluated by their power and false alarm rate. It requires ensuring the upper bound for false alarm rate while measuring the detection power, which proves to be a difficult task. In this paper we introduce a new measure of outlier detection performance H m as the harmonic mean of the power and unit minus false alarm rate. The H m maximizes the detection power by minimizing the false alarm rate and enables an easier way for evaluation and parameters tuning of an outlier detection algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barnett, V., Lewis, T.: Outliers in statistical data. Wiley (1994)

    Google Scholar 

  2. Grubbs, F.E., Beck, G.: Extension of sample sizes and percentage points for significance tests of outlying observations. Technometrics 14(4), 847–854 (1972)

    Article  MathSciNet  Google Scholar 

  3. Tukey, J.W.: Exploratory Data Analysis. Addison-Wesley, Reading (1977)

    MATH  Google Scholar 

  4. Hastie, T., Tibshirani, R., Friedman, J.H.: Elements of Statistical Learning. Springer (2001)

    Google Scholar 

  5. van Rijsbergen, C.J.: Information Retrieval. Butterworths, London (1979)

    Google Scholar 

  6. Kendall, M.G., Stuart, A.: Kendall’s advanced theory of statistics, 2nd edn. Classical inference and the linear model, vol. 2A. Arnold, London (1968)

    Google Scholar 

  7. Marzban, C.: The ROC curve and the area under it as a performance measure. Weather and Forecasting 19(6), 1106–1114 (2004)

    Article  MathSciNet  Google Scholar 

  8. Lehmann, E.L.: The Fisher, Neyman-Pearson theories of testing hypotheses: One theory or two? Journal of the American Statistical Association 88(424), 1242–1249

    Google Scholar 

  9. Huber, P.J.: Robust Statistics. Wiley, New York (1981)

    Book  MATH  Google Scholar 

  10. Smirnov, P., Shevlyakov, G.: Priblizhenie otsenki Q N parametra masshtaba s pomosh’yu bystrih M-otsenok. Vestnik SibGAU 5(31), 83–85 (2010) (In Russian)

    Google Scholar 

  11. Rousseeuw, P.J., Croux, C.: Alternatives to the median absolute deviation. Journal of the American Statistical Association 88(424), 1273–1283 (1993)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Andrea, K., Shevlyakov, G., Vassilieva, N., Ulanov, A. (2014). A New Measure of Outlier Detection Performance. In: Perner, P. (eds) Machine Learning and Data Mining in Pattern Recognition. MLDM 2014. Lecture Notes in Computer Science(), vol 8556. Springer, Cham. https://doi.org/10.1007/978-3-319-08979-9_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-08979-9_15

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08978-2

  • Online ISBN: 978-3-319-08979-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics