Comparison for estimation methods for the autoregressive approximations
DOI:
https://doi.org/10.33095/jeas.v19i70.792Keywords:
عملية غير انعكاسية- عمية ضوضاء متكامل نسبياً- تقريب الانحدار الذاتي- معادلات Yule- Walker- طريقة اقل المربعات- طيقة الامامية- الخلفية – طريقتي Burg., non-invertible process; fractionally- integrated noise process; autoregressive approximation; Yule-Walker equations; Least Squares; Least Squares ( forward- backword ) and Burg’s methods.Abstract
Abstract
In this study, we compare between the autoregressive approximations (Yule-Walker equations, Least Squares , Least Squares ( forward- backword ) and Burg’s (Geometric and Harmonic ) methods, to determine the optimal approximation to the time series generated from the first - order moving Average non-invertible process, and fractionally - integrated noise process, with several values for d (d=0.15,0.25,0.35,0.45) for different sample sizes (small,median,large)for two processes . We depend on figure of merit function which proposed by author Shibata in 1980, to determine the theoretical optimal order according to minimum value for Figure of merit functio, for several values for h (h=1 to) to compare between estimation methods which used in this study. Also we based On Information Criteria which imply (Akaike, Final Prediction Error, Mallow , s statistic, Parzen , Bhansali). Addition to several Criteria based on values for estimation parameters such as Mean Error Estimation ( MEE ), Mean Square Error Estimation ( MSEE ) and Mean Absolute Error Estimation ( MAEE ) .The results are obtained by using simulation which is based on Matlab programms.
Downloads
Published
Issue
Section
License
Articles submitted to the journal should not have been published before in their current or substantially similar form, or be under consideration for publication with another journal. Please see JEAS originality guidelines for details. Use this in conjunction with the points below about references, before submission i.e. always attribute clearly using either indented text or quote marks as well as making use of the preferred Harvard style of formatting. Authors submitting articles for publication warrant that the work is not an infringement of any existing copyright and will indemnify the publisher against any breach of such warranty. For ease of dissemination and to ensure proper policing of use, papers and contributions become the legal copyright of the publisher unless otherwise agreed.
The editor may make use of Turnitin software for checking the originality of submissions received.
How to Cite
How to use the OJS system 
