On Stability of Nonlinear Ar Processes with Markov Switching

نویسنده

  • J.-F. YAO
چکیده

We investigate the stability problem for a nonlinear autoregressive model with Markov switching. First we give conditions for the existence and the uniqueness of a stationary ergodic solution. The existence of moments of such a solution is then examined and we establish a strong law of large numbers for a wide class of unbounded functions, as well as a central limit theorem under an irreducibility condition.

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تاریخ انتشار 2002