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自动化与信息科学期刊
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

卷:
卷 52, 2020 卷 51, 2019 卷 50, 2018 卷 49, 2017 卷 48, 2016 卷 47, 2015 卷 46, 2014 卷 45, 2013 卷 44, 2012 卷 43, 2011 卷 42, 2010 卷 41, 2009 卷 40, 2008 卷 39, 2007 卷 38, 2006 卷 37, 2005 卷 36, 2004 卷 35, 2003 卷 34, 2002 卷 33, 2001 卷 32, 2000 卷 31, 1999 卷 30, 1998 卷 29, 1997 卷 28, 1996

自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v47.i10.60
pages 60-68

Application of Smoothing Measures in Nonparametric Kernel Classifiers with Usage of Normal Approximation of Probabilities

Alexander A. Galkin
Kiev National Taras Shevchenko University, Kiev

ABSTRACT

The problem of selection of bandwidth with application of kernel estimates of density of distribution was investigated, where instead of one optimal bandwidth for every density estimate we used results of different measures of smoothing for kernel estimates of density. We propose approach, where instead of unprocessed experimental relations normal approximations of the corresponding probabilities is used, and asymptotic properties were investigated for the corresponding conditions of regularity.

REFERENCES

  1. Vardi Y., Zhang C.H. , The multivariate on <i>L</i><sub>1</sub>-median and associated data depth, Proc. of the National Academy of Sciences (USA), 2000, No. 97, 1423-1426.

  2. Godtliebsen F., Marron J.S., Chaudhuri P., Significance in scale space for bivariate density estimation. Journal of Computational and Graphical Statistics, 2002, No. 11, 1-22.

  3. Holmes C.C., Adams N.M., A probabilistic nearest neighbor method for statistical pattern recognition, Journal of the Royal Statistical Society, 2002, No. 64, 295-306.

  4. Hall P. , Large sample optimality of least squares cross validations in density estimation, The Annals of Statistics, 1983, No. 11, 1156-1174.

  5. Zuo Y., Serfling R., Structural properties and convergence results for contours of sample statistical depth functions, Ibid., 2000, No. 28, 483-499.

  6. Mosler K., Multivariate dispersions, central regions and depth, Springer-Verlag, New York, 2002, 1-14.

  7. Lachenbruch P., Mickey M., Estimation of error rates in discriminant analysis, Technometrics, 1968, No. 10, 1-11.

  8. Silverman B.W., Density estimation for statistics and data analysis, Chapman and Hall, London, 1986, 1-7.


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