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Implicitly weighted robust estimation of quantiles in linear regression

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F19%3A00509648" target="_blank" >RIV/67985807:_____/19:00509648 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Implicitly weighted robust estimation of quantiles in linear regression

  • Original language description

    Estimation of quantiles represents a very important task in econometric regression modeling, while the standard regression quantiles machinery is well developed as well as popular with a large number of econometric applications. Although regression quantiles are commonly known as robust tools, they are vulnerable to the presence of leverage points in the data. We propose here a novel approach for the linear regression based on a specific version of the least weighted squares estimator, together with an additional estimator based only on observations between two different novel quantiles. The new methods are conceptually simple and comprehensible. Without the ambition to derive theoretical properties of the novel methods, numerical computations reveal them to perform comparably to standard regression quantiles, if the data are not contaminated by outliers. Moreover, the new methods seem much more robust on a simulated dataset with severe leverage points.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • 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

  • Article name in the collection

    Conference Proceedings. 37th International Conference on Mathematical Methods in Economics 2019

  • ISBN

    978-80-7394-760-6

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    25-30

  • Publisher name

    University of South Bohemia in České Budějovice, Faculty of Economics

  • Place of publication

    České Budějovice

  • Event location

    České Budějovice

  • Event date

    Sep 11, 2019

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000507570400003