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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/25780

Title: Testing the heteroscedastic error structure in quantile varying coefficient models
Authors: Gijbels, Irène
Ibrahim, Mohammed A.
Verhasselt, Anneleen
Issue Date: 2017
Citation: Canadian journal of statistics = Revue canadienne de statistique,
Status: Early View
Abstract: In mean regression the characteristic of interest is the conditional mean of the response given the covariates. In quantile regression the aim is to estimate any quantile of the conditional distribution function. For given covariates, the conditional quantile function fully characterizes the entire conditional distribution function, in contrast to the mean which is just one of its characteristic quantities. Regression quantiles substantially out-perform the least-squares estimator for a wide class of non-Gaussian error distributions. In this article we consider quantile varying coefficient models (VCMs) that are an extension of classical quantile linear regression models, in which one allows the coefficients to depend on other variables. We consider VCMs with various structures for the variance of the errors (the variability function) in order to allow for heteroscedasticity. For longitudinal data, the time (T) dependent coefficient functions in the signal and the variability functions are estimated with P-splines (Penalized B-splines). Consistency of the proposed estimators is proved. Further, likelihood-ratio-type tests are considered for comparing the variability functions. The performance of the testing procedure is illustrated on simulated and real data.
URI: http://hdl.handle.net/1942/25780
DOI: 10.1002/cjs.11346
ISSN: 0319-5724
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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