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Mixture Analysis with Noisy Data

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New Approaches in Classification and Data Analysis

Summary

Noisy data such as outliers cause difficulty in any model selection procedure. We present two general procedures. The first extends any model selection technique such as maximum likelihood or method of moments estimation to a procedure for obtaining mixture models. The second procedure makes a model selection technique more robust by weighting with members of the model family. Finally, we show how to combine these two procedures to obtain a robust, mixture modeling method

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References

  • REDNER, R. A. and WALKER, H. F. (1984): Mixture densities, maximum likelihood and the EM algorithm. SIAM Review, 26, 195–239.

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  • WINDHAM, M. P. (1993): Robust model selection. Utah State University, Mathematics and Statistics Research Report 6/93/67.

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© 1994 Springer-Verlag Berlin Heidelberg

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Windham, M.P., Cutler, A. (1994). Mixture Analysis with Noisy Data. In: Diday, E., Lechevallier, Y., Schader, M., Bertrand, P., Burtschy, B. (eds) New Approaches in Classification and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51175-2_17

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  • DOI: https://doi.org/10.1007/978-3-642-51175-2_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58425-4

  • Online ISBN: 978-3-642-51175-2

  • eBook Packages: Springer Book Archive

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