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2015 | Modelowanie wielowymiarowych struktur danych i analiza ryzyka | 9--21
Tytuł artykułu

Some robust multivariate methods

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Parametric modeling of multivariate data, compared to the univariate case it is another class of problems. The normal distribution as an assumption is central by default, because of the wealth of multivariate statistical theory available exclusively for parametric model. On the other hand, some part of this theory does not permit the dimension d to exceed the sample size ».To avoid assuming normality as a default, nonparametric approaches are thus even more significant in the multivariate case. Nonparametric methods need much more development, however, this is still not easy. The practical goal becomes robust parametric modeling. It also can be desirable that nonparametric approaches work meaningfully in parametric settings. In this paper we try to discuss some clue problem connected with dimensionality of real data in research. (fragment of text)
Twórcy
  • University of Economics in Katowice, Poland
Bibliografia
  • Barnett V. (1976), The Ordering of Multivariate Data (with Comments), "Journal of Royal Statistical Society", Ser, A, 139.
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  • Plackett R.L. (1976), Comment on Ordering of Multivariate Data by V. Barnett, "Journal of the Royal Statistical Society", Ser. A, 139.
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  • Trzpiot G. (2012), Spatial Quantile Regression, "Comparative Economic Research. Central and Eastern Europe", Vol. 15, No. 4.
  • Trzpiot G. (2013), Properties of Transformation Quantile Regression Model, Acta Universitatis Lodziensis, "Folia Economica", 285.
  • Trzpiot G. (2015), Some Properties of Spatial Quantiles, Acta Universitatis Lodziensis, "Folia Economica", in press.
  • Trzpiot G., red. (2013), Wybrane metody statystyki odpornej, Wydawnictwo Uniwersytetu Ekonomicznego, Katowice.
  • Tukey J. (1975), Mathematics and the Picturing of Data, "Proceedings Of The International Congress Of Mathematicians", Vancouver.
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  • Zuo Y., Serfling R. (2000), Nonparametric Notions of Multivariate "Scatter Measure" and "More Scattered" Based on Statistical Depth Functions, "Journal of Multivariate Analysis", 75.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171435780

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