Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/22177 
Year of Publication: 
2003
Series/Report no.: 
Papers No. 2004,03
Publisher: 
Humboldt-Universität zu Berlin, Center for Applied Statistics and Economics (CASE), Berlin
Abstract: 
We study the asymptotic behaviour of frequency domain maximum likelihood estimators of mis-specified models of long memory Gaussian series. We show that even if the long memory structure of the time series is correctly specified, mis-specification of the short memory dynamics may result in parameter estimators which are slower than pn consistent. The conditions under which this happens are provided and the asymptotic distribution of the estimators is shown to be non-Gaussian. Conditions under which estimators of the parameters of the mis-specified model have the standard pn consistent and asymptotically normal behaviour are also provided.
Document Type: 
Working Paper

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