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Regression quantiles and their two-step modifications

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  • Jurečková, Jana
  • Picek, Jan

Abstract

Regression quantiles and their two-step modifications based on R-estimation of slope components of regression parameter are asymptotically equivalent and are very close numerically even for small sample sizes; their extreme versions even exactly coincide. Regarding that, we study their relations under finite samples and show under which conditions their values exactly coincide. This inter-relation is also numerically illustrated.

Suggested Citation

  • Jurečková, Jana & Picek, Jan, 2012. "Regression quantiles and their two-step modifications," Statistics & Probability Letters, Elsevier, vol. 82(6), pages 1111-1115.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:6:p:1111-1115
    DOI: 10.1016/j.spl.2012.02.016
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    References listed on IDEAS

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    1. Jurecková, Jana, 2010. "Finite-sample distribution of regression quantiles," Statistics & Probability Letters, Elsevier, vol. 80(23-24), pages 1940-1946, December.
    2. Marc Hallin & Jana Jureckova, 1999. "Optimal tests for autoregressive models based on autoregression rank scores," ULB Institutional Repository 2013/2089, ULB -- Universite Libre de Bruxelles.
    3. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
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