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Title: On multivariate quantile regression
Authors: Chakraborty, B. 
Keywords: Data-driven coordinates
Multiresponse linear models
Issue Date: Nov-2002
Citation: Chakraborty, B. (2002-11). On multivariate quantile regression. Journal of Financial Economics 66 (2-3) : 109-132. ScholarBank@NUS Repository.
Abstract: To detect the dependence on the covariates in the lower and upper tails of the response distribution, regression quantiles are very useful tools in linear model problems with univariate response. We consider here a notion of regression quantiles for problems with multivariate responses. The approach is based on minimizing a loss function equivalent to that in the case of univariate response. To construct an affine equivariant notion of multivariate regression quantiles, we have considered a transformation retransformation procedure based on 'data-driven coordinate systems'. We indicate some algorithm to compute the proposed estimates and establish asymptotic normality for them. We also, suggest an adaptive procedure to select the optimal data-driven coordinate system. We discuss the performance of our estimates with the help of a finite sample simulation study and to illustrate our methodology, we analyzed an interesting data-set on blood pressures of a group of women and another one on the dependence of sales performances on creative test scores. © 2001 Elsevier Science B.V. All rights reserved.
Source Title: Journal of Financial Economics
ISSN: 0304405X
Appears in Collections:Staff Publications

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