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Displaying similar documents to “On geometric ergodicity and prediction in nonnegative non-linear autoregressive processes”

Estimation of variances in a heteroscedastic RCA(1) model

Hana Janečková (2002)

Kybernetika

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The paper concerns with a heteroscedastic random coefficient autoregressive model (RCA) of the form X t = b t X t - 1 + Y t . Two different procedures for estimating σ t 2 = E Y t 2 , σ b 2 = E b t 2 or σ B 2 = E ( b t - E b t ) 2 , respectively, are described under the special seasonal behaviour of σ t 2 . For both types of estimators strong consistency and asymptotic normality are proved.