|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Local Bilinear Multiple-Output Quantile Regression: from $L_1$ Optimization to Regression Depth
If you have a question about this talk, please contact Richard Samworth.
A new multiple output concept of quantile regression, based on a directional version of Koenker and Bassett?s traditional one, has been introduced in Hallin, Paindaveine and Siman (Annals of Statistics 2010, 635-703), essentially for multivariate location problems. The empirical counterpart of that concept produces polyhedral contours that (in the location case) coincide with the Tukey halfspace depth contours. In a regression context, however, that concept cannot account for nonlinear or/and heteroscedastic dependencies. A local bilinear version of those contours is proposed here, which asymptotically recovers the conditional halfspace depth contours of the multiple-output response. A Bahadur representation is established, along with asymptotic normality results. Examples are provided.
This talk is part of the Statistics series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsQuastel Midgen LLP Presentation Theoretical Chemistry talks
Other talksCarbon Pricing and Firm Profits: Theory and Estimates for US Airlines Reigniting Innovation in the Hardware Industry Discovering wealth within - Spirituality in Daily Life series Asclepiadaceae Art speak Athena SWAN Surgery