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Linear versus quadratic estimators in linearized models

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F04%3A00002157" target="_blank" >RIV/61989592:15310/04:00002157 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Linear versus quadratic estimators in linearized models

  • Original language description

    In nonlinear regression models an approximate value of an unknown parameter is frequently at our disposal. Then the linearization of the model is used and a linear estimate of the parameter can be calculed. Some criteria how to recognize whether a linearization is possible is developed. In the case that they are not satisfied, it is necessery to take into account either some quadratic corrections or use the nonlinear least squares method. The aim of the paper is to find some criteria for an ordering linear and quadratic estimators.

  • Czech name

    Linear versus quadratic estimators in linearized models

  • Czech description

    V nelineárních regresních modelech nemusí být známa ani přibližná hodnota neznámého parametru. Model lze linearizovat a určit lineární odhad neznámého parametru.Uvádíme některá kritéria ke zjištění toho, zda je tato linearizace vhodná. Není-li linearizace vhodná, je třeba vzít do úvahy kvadratické odhady nebo užít nelineární metodu nejmenších čtverců. V článku si všímáme závislosti mezi lineárními a kvadratickými odhady v linearizovaných modelech.

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

    <a href="/en/project/GA201%2F99%2F0327" target="_blank" >GA201/99/0327: Estimators and tests in regression models with a low nonlinearity</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2004

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Applications of Mathematics

  • ISSN

    0862-7940

  • e-ISSN

  • Volume of the periodical

    49

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    15

  • Pages from-to

    81-95

  • UT code for WoS article

  • EID of the result in the Scopus database