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Abstract.The problem of modelling time series driven by non‐Gaussian innovations is considered. The asymptotic normality of the maximum likelihood estimator is established under some general conditions. The distribution of the residual autocorrelations is also obtained. This gives rise to a potentially useful goodness‐of‐fit statistic. Applications of the results to two important cases are discussed. Two real examples are considered.
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Li et al. (1988) studied this question.
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