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Outlier detection for compositional data using robust methods

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F08%3A00005487" target="_blank" >RIV/61989592:15310/08:00005487 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Outlier detection for compositional data using robust methods

  • Original language description

    Outlier detection based on the Mahalanobis distance (MD) requires an appropriate transformation in case of compositional data. For the family of logratio transformations (additive, centered and isometric logratio transformation) it is shown that the MDsbased on classical estimates are invariant to these transformations, and that the MDs based on affine equivariant estimators of location and covariance are the same for additive and isometric logratio transformation. Moreover, for 3-dimensional compositions the data structure can be visualized by contour lines, and in higher dimension the MDs of closed and opened data give an impression of the multivariate data behavior.

  • Czech name

    Detekce odlehlých hodnot pro kompoziční data užirím robustních metod

  • Czech description

    Pro detekci odlehlých hodnot užitím Mahalanobisových vzdáleností je v případě kompozičních dat potřeba speciální transformace. Jako nejvhodnější z teoretického i praktického hlediska se jeví rodina tzv. logratio transformací.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Mathematical Geosciences

  • ISSN

    1874-8961

  • e-ISSN

  • Volume of the periodical

    40

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    16

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database