کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1146815 1489695 2009 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic normality and confidence intervals for inverse regression models with convolution-type operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز عددی
پیش نمایش صفحه اول مقاله
Asymptotic normality and confidence intervals for inverse regression models with convolution-type operators
چکیده انگلیسی

We consider inverse regression models with convolution-type operators which mediate convolution on RdRd (d≥1d≥1) and prove a pointwise central limit theorem for spectral regularisation estimators which can be applied to construct pointwise confidence regions. Here, we cope with the unknown bias of such estimators by undersmoothing. Moreover, we prove consistency of the residual bootstrap in this setting and demonstrate the feasibility of the bootstrap confidence bands at moderate sample sizes in a simulation study.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 100, Issue 10, November 2009, Pages 2364–2375
نویسندگان
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