(Bounded functional autoregressive model). Consider the scalar FAR model: (a) Show that the Markov chain is uniformly ergodic. (b) Show that the Markov chain is V-uniformly ergodic, for an...

(Bounded functional autoregressive model). Consider the scalar FAR model:

(a) Show that the Markov chain is uniformly ergodic.

(b) Show that the Markov chain is V-uniformly ergodic, for an appropriately defined function V.

(Functional autoregressive model). Consider the scalar model given by X_t
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