Asymptotic canonical forms and iterated logarithm rate results of least squares estimates for unstable ARMA models
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Anderson, T.W. On Asymptotic Distributions of Estimates of Parameters of Stochastic Difference Equations.Ann. Statist., 1959, 30: 676–687.
Chan, N.H. and Wei, C.Z. Limiting Distributions of Least Squares Estimates of Unstable Autoregressive Processes.Ann. Statist., 1988, 16: 367–401.
Huang, D.W. and Guo, L. Estimation of Nonstationary ARMAX Models Based on the Hannan-Risssanen Method.Ann. Statist., 1990, 18: 1729–1756.
Lai, T.L. and Wei, C.Z. Least Squares Estimates in Stochastic Regression Models with Applications to Identification and Control of Dynamic Systems.Ann. Statist., 1982, 10: 154–166.
Lai, T.L. and Wei, C.Z. Asymptotic Properties of General Autoregressive Models and Strong Consistency of Least-squares Estimates of Their Parameters.J. Multivariate Anal., 1983, 13: 1–23.
Ljung, L. Consistency of the Least-squares Identification Method.IEEE Trans. Auto. Control, 1976, AC-21: 779–781.
Moore, J.B. On Strong Consistency of Least Squares Identification Algorithm.Automatica, 1978, 4: 505–509.
Stigum, R.P. Asymptotic Properties of Dynamic Parameter Estimates III.J. Multivariate Anal., 1974, 4: 351–381.