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Estimation of the Memory Parameters of the Fractionally Integrated Separable Spatial Autoregressive (FISSAR(1, 1)) Model: A Simulation Study
Authors:Alireza Ghodsi
Affiliation:Department of Mathematics , University Putra Malaysia , Serdang , Malaysia
Abstract:In this article, we implement the Regression Method for estimating (d 1, d 2) of the FISSAR(1, 1) model. It is also possible to estimate d 1 and d 2 by Whittle's method. We also compute the estimated bias, standard error, and root mean square error by a simulation study. A comparison was made between the Regression Method of estimating d 1 and d 2 to that of the Whittle's method. It was found in this simulation study that the Regression Method of estimation was better when compare with the Whittle's estimator, in the sense that it had smaller root mean square errors (RMSE) values.
Keywords:Autoregressive process  Fractional integration  FISSAR  Spatial model  Separable process  Whittle's estimation
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