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Uniqueness of the maximum likelihood estimates of the parameters of an ARMA model Export

Automatic Control, IEEE Transactions on, Vol. 19, No. 6. (1974), pp. 769-773.

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diagnostics identification simulation

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Estimation of the parameters in a mixed autoregressive moving average process leads to a nonlinear optimization problem. The negative logarithm of the likelihood function, suitably normalized, converges to a deterministic function as the sample length increases. The local and global extrema of this function are investigated. Conditions for the existence of a unique global and local minimum are given.


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