دورية أكاديمية

Robust estimators under semi‐parametric partly linear autoregression: Asymptotic behaviour and bandwidth selection

التفاصيل البيبلوغرافية
العنوان: Robust estimators under semi‐parametric partly linear autoregression: Asymptotic behaviour and bandwidth selection
المؤلفون: Bianco, Ana, Boente, Graciela
المصدر: Journal of Time Series Analysis ; volume 28, issue 2, page 274-306 ; ISSN 0143-9782 1467-9892
بيانات النشر: Wiley
سنة النشر: 2006
المجموعة: Wiley Online Library (Open Access Articles via Crossref)
الوصف: In this article, under a semi‐parametric partly linear autoregression model, a family of robust estimators for the autoregression parameter and the autoregression function is studied. The proposed estimators are based on a three‐step procedure, in which robust regression estimators and robust smoothing techniques are combined. Asymptotic results on the autoregression estimators are derived. Besides combining robust procedures with M ‐smoothers, predicted values for the series and detection residuals, which allow to detect anomalous data, are introduced. Robust cross‐validation methods to select the smoothing parameter are presented as an alternative to the classical ones, which are sensitive to outlying observations. A Monte Carlo study is conducted to compare the performance of the proposed criteria. Finally, the asymptotic distribution of the autoregression parameter estimator is stated uniformly over the smoothing parameter.
نوع الوثيقة: article in journal/newspaper
اللغة: English
DOI: 10.1111/j.1467-9892.2006.00511.x
الإتاحة: https://doi.org/10.1111/j.1467-9892.2006.00511.xTest
حقوق: http://onlinelibrary.wiley.com/termsAndConditions#vorTest
رقم الانضمام: edsbas.AD8840C4
قاعدة البيانات: BASE