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Statistical learning for recommending (robust) nonlinear regression methods

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F19%3A00520199" target="_blank" >RIV/67985556:_____/19:00520199 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985807:_____/19:00511819

  • Result on the web

    <a href="https://content.sciendo.com/view/journals/jamsi/15/2/article-p47.xml" target="_blank" >https://content.sciendo.com/view/journals/jamsi/15/2/article-p47.xml</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.2478/jamsi-2019-0008" target="_blank" >10.2478/jamsi-2019-0008</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Statistical learning for recommending (robust) nonlinear regression methods

  • Original language description

    We are interested in comparing the performance of various nonlinear estimators of parameters of the standard nonlinear regression model. While the standard nonlinear least squares estimator is vulnerable to the presence of outlying measurements in the data, there exist several robust alternatives. However, it is not clear which estimator should be used for a given dataset and this question remains extremely difficult (or perhaps infeasible) to be answered theoretically. Metalearning represents a computationally intensive methodology for optimal selection of algorithms (or methods) and is used here to predict the most suitable nonlinear estimator for a particular dataset. The classification rule is learned over a training database of 24 publicly available datasets. The results of the primary learning give an interesting argument in favor of the nonlinear least weighted squares estimator, which turns out to be the most suitable one for the majority of datasets. The subsequent metalearning reveals that tests of normality and heteroscedasticity play a crucial role in finding the most suitable nonlinear estimator.n

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10103 - Statistics and probability

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of applied mathematics, statistics and informatics

  • ISSN

    1336-9180

  • e-ISSN

  • Volume of the periodical

    15

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    SK - SLOVAKIA

  • Number of pages

    13

  • Pages from-to

    47-59

  • UT code for WoS article

    000503976200004

  • EID of the result in the Scopus database