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Test of tails based on extreme regression quantiles

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  • Jurecková, Jana

Abstract

The extreme regression quantiles, as analogues of the extreme-order statistics in the linear regression model, were first considered by Smith (1994, Biometrika 81, 173-183) and studied by Portnoy and Jurecková (1999, Extremes, to appear). They may have various important applications, parallel to those of the extreme value theory. We propose the test of the Pareto-type tail with index m, 0

Suggested Citation

  • Jurecková, Jana, 2000. "Test of tails based on extreme regression quantiles," Statistics & Probability Letters, Elsevier, vol. 49(1), pages 53-61, August.
    • Handle: RePEc:eee:stapro:v:49:y:2000:i:1:p:53-61
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    References listed on IDEAS

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    1. He, Xuming, et al, 1990. "Tail Behavior of Regression Estimators and Their Breakdown Points," Econometrica, Econometric Society, vol. 58(5), pages 1195-1214, September.
    2. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
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    Cited by:

    1. Igor Fedotenkov, 2020. "A Review of More than One Hundred Pareto-Tail Index Estimators," Statistica, Department of Statistics, University of Bologna, vol. 80(3), pages 245-299.
    2. Zuo, Yijun, 2003. "Finite sample tail behavior of multivariate location estimators," Journal of Multivariate Analysis, Elsevier, vol. 85(1), pages 91-105, April.

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