Estimation of mis-specified long memory models
AbstractWe 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 estimators of both long- and short-memory parameters that are slower than ãn consistent for the pseudo-true parameter values, which in general differ from the true values. 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 ãn consistency for the pseudo-true values and are asymptotically normal are also provided.
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Bibliographic InfoPaper provided by EconWPA in its series Econometrics with number 0501004.
Length: 24 pages
Date of creation: 11 Jan 2005
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Note: Type of Document - pdf; pages: 24
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long memory; model mis-specification;
Other versions of this item:
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-01-16 (All new papers)
- NEP-ECM-2005-01-16 (Econometrics)
- NEP-ETS-2005-01-16 (Econometric Time Series)
- NEP-FIN-2005-01-16 (Finance)
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