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This paper is concerned with the least squares estimator for a basic class ofnonlinear autoregressive models, whose outputs are not necessarily to beergodic. Several asymptotic properties of the least squares estimator have beenestablished under mild conditions. These properties suggest the strongconsistency of the least squares estimates in nonlinear autoregressive modelswhich are not divergent.

Asymptotic Behavior of Least Squares Estimator for Nonlinear Autoregressive Models