Unit Root Test of Bounded AR(2) Model with Constant and with Independent Errors | ||||
The Egyptian Statistical Journal | ||||
Article 3, Volume 64, Issue 1, June 2020, Page 34-53 PDF (609.89 K) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/esju.2021.189437 | ||||
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Abstract | ||||
In this paper, unit root test of bounded AR(2) model with constant and with independent errors has been derived, where estimation of the model, asymptotic distributions of OLS estimators under different tests of hypothesis and asymptotic distributions of the t-type statistics under different tests of hypothesis have been derived. Also, the simulation results of the bias, mean squared error (MSE),Thiel's inequality coefficient(Thiel's U)and power of the test for OLS estimators of bounded AR(2) model with constant and with constant and with independent errors approved the alternative hypothesis H a more than the null hypothesis H 0. | ||||
Keywords | ||||
Bounded AR (2) model; asymptotic distributions; OLS Estimators; tests of hypothesis; the t-type statistics; mean squared error; Thiel's inequality coefficient and power of the test | ||||
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