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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337

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

Journal of Automation and Information Sciences

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

Краткое описание

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.

ЛИТЕРАТУРА

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  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.

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