کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1145454 | 1489667 | 2015 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Influence function of projection-pursuit principal components for functional data
ترجمه فارسی عنوان
تابع تأثیر اجزای اصلی طرح ریزی-پیگیری برای داده های عملکردی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز عددی
چکیده انگلیسی
In the finite-dimensional setting, Li and Chen (1985) proposed a method for principal components analysis using projection-pursuit techniques. This procedure was generalized to the functional setting by Bali et al. (2011), where also different penalized estimators were defined to provide smooth functional robust principal component estimators. This paper completes their study by deriving the influence function of the functional related to the principal direction estimators and their size. As is well known, the influence function is a measure of robustness which can also be used for diagnostic purposes. In this sense, the obtained results can be helpful for detecting influential observations for the principal directions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 133, January 2015, Pages 173–199
Journal: Journal of Multivariate Analysis - Volume 133, January 2015, Pages 173–199
نویسندگان
Juan Lucas Bali, Graciela Boente,