2836-7863ISSN (Online)
Volume 4 , Issue 2 , PP: 09-17, 2024 | Cite this article as | XML | Html | PDF | Full Length Article
Ahmad Khaldi 1 *
Doi: https://doi.org/10.54216/NIF.040202
A condensed study will be done to compare the ordinary estimators. In particular, the maximum likelihood estimator and the robust estimator, to estimate the parameters of the mixed model of order one, namely BARMA (1, 1). Simulation experiments will be applied for varieties of BARMA (1, 1) based on using small, moderate, and large sample sizes, where some new results were obtained. MAPE was used as a statistical criterion for comparison.
Binary system , Mathematical model , Estimator , Numerical comparison
[1] Safawi, Safa Yunus. (2005). "Comparison of normal and robust estimators of mixed binary time series models of lower ranks", PhD thesis, Faculty of Computer Science and Mathematics, University of Mosul.
[2] Abdul-Ahad, Menahel Daniel (2004). "Hippocampal estimation in a First-Order self-regression model". Unpublished master's thesis, Faculty of Computer Science and Mathematics, University of Mosul.
[3] Martin ,R.D. , (1980) , “ Robust Estimation of Autoregressive Models “ , Indirection in Time Series, eds, D.R. Brillinger & G.C.Tiao , Hayward , C.A. : Institute of Mathmatical Statistics.
[4] Fox, A.J., (1973)," Outliers in Time Series”, J.R. Statistics Soc. B. 34, 350-363.
[5] 5- Stochinger, N. & Duter, R., (1987)," Robust Time Series Analysis A survey ", Supplement to The J. Kybernetika.
[6] Zch, J.E., (1979)," Efficiency Robustness Of Generalized M-Estimates For Auto regression & Their Use In Determining Outlier", Ph.D. Dissertation Univ. Washington, seatle, U.S.A.
