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Notes on robustness of RT class tests for normality

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62156489%3A43110%2F19%3A43915944" target="_blank" >RIV/62156489:43110/19:43915944 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1063/1.5114416" target="_blank" >https://doi.org/10.1063/1.5114416</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/1.5114416" target="_blank" >10.1063/1.5114416</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Notes on robustness of RT class tests for normality

  • Original language description

    The assumption of normal distribution of a random variable plays an important role in various fields of science. The Jarque-Bera test is the most widely adopted omnibus test of normality in econometrics, finance and related fields. As outliers in the data sets in the field of economics and finance are frequently present, the Jarque-Bera test is not sufficiently robust, since it is based on the classical characteristics of skewness and kurtosis and has a zero breakdown value. Thus, the Jarque-Bera test is very sensitive to small deviations from normality, e.g. presence of outliers. In this contribution, we introduce the general RT class of robust tests for normality which is less sensitive to small deviations from normality, particularly in the form of a few outliers. We also present and discuss the trade-off between power and robustness of selected classical and robust normality tests of random variables where outliers could be presented.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10103 - Statistics and probability

Result continuities

  • Project

    <a href="/en/project/GA16-07089S" target="_blank" >GA16-07089S: Robust approach to testing for normality of error terms in econometric models</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2018)

  • ISBN

    978-0-7354-1854-7

  • ISSN

    0094-243X

  • e-ISSN

    1551-7616

  • Number of pages

    4

  • Pages from-to

    400002

  • Publisher name

    American Institute of Physics (AIP)

  • Place of publication

    Melville

  • Event location

    Rhodos

  • Event date

    Sep 13, 2018

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000521108600400