Robust Wavelet Estimation to Eliminate Simultaneously the Effects of Boundary Problems, Outliers, and Correlated Noise
المؤلفون المشاركون
Altaher, Alsaidi M.
Ismail, Mohd Tahir
المصدر
International Journal of Mathematics and Mathematical Sciences
العدد
المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-18، 18ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2012-11-27
دولة النشر
مصر
عدد الصفحات
18
التخصصات الرئيسية
الملخص EN
Classical wavelet thresholding methods suffer from boundary problems caused by the application of the wavelet transformations to a finite signal.
As a result, large bias at the edges and artificial wiggles occur when the classical boundary assumptions are not satisfied.
Although polynomial wavelet regression and local polynomial wavelet regression effectively reduce the risk of this problem, the estimates from these two methods can be easily affected by the presence of correlated noise and outliers, giving inaccurate estimates.
This paper introduces two robust methods in which the effects of boundary problems, outliers, and correlated noise are simultaneously taken into account.
The proposed methods combine thresholding estimator with either a local polynomial model or a polynomial model using the generalized least squares method instead of the ordinary one.
A primary step that involves removing the outlying observations through a statistical function is considered as well.
The practical performance of the proposed methods has been evaluated through simulation experiments and real data examples.
The results are strong evidence that the proposed method is extremely effective in terms of correcting the boundary bias and eliminating the effects of outliers and correlated noise.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Altaher, Alsaidi M.& Ismail, Mohd Tahir. 2012. Robust Wavelet Estimation to Eliminate Simultaneously the Effects of Boundary Problems, Outliers, and Correlated Noise. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-511838
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Altaher, Alsaidi M.& Ismail, Mohd Tahir. Robust Wavelet Estimation to Eliminate Simultaneously the Effects of Boundary Problems, Outliers, and Correlated Noise. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-511838
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Altaher, Alsaidi M.& Ismail, Mohd Tahir. Robust Wavelet Estimation to Eliminate Simultaneously the Effects of Boundary Problems, Outliers, and Correlated Noise. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-511838
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-511838
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر