کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1152321 958280 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Weak consistency of the Support Vector Machine Quantile Regression approach when covariates are functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Weak consistency of the Support Vector Machine Quantile Regression approach when covariates are functions
چکیده انگلیسی

This paper deals with a nonparametric estimation of conditional quantile regression when the explanatory variable X   takes its values in a bounded subspace of a functional space XX and the response Y   takes its values in a compact of the space Y≔RY≔R. The functional observations, X1,…,XnX1,…,Xn, are projected onto a finite dimensional subspace having a suitable orthonormal system. The XiXi’s will be characterized by their coordinates in this basis. We perform the Support Vector Machine Quantile Regression approach in finite dimension with the selected coefficients. Then we establish weak consistency of this estimator. The various parameters needed for the construction of this estimator are automatically selected by data-splitting and by penalized empirical risk minimization.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 81, Issue 12, December 2011, Pages 1847–1858
نویسندگان
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