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Much time series data are recorded on economic and financial variables. Statistical modelling of such data is now very well developed, and has applications in forecasting. We review a variety of statistical models from the viewpoint of ‘memory’, or strength of dependence across time, which...
Persistent link: https://www.econbiz.de/10010928635
Persistent link: https://www.econbiz.de/10010746529
This paper estimates the implied stochastic process of the volatility of the Swiss market index (SMI) from the prices of options written on it. A GARCH(1,1) model is shown to be a good parameterization of the process. Then, using the GARCH option pricing model of Duan (1991), the implied...
Persistent link: https://www.econbiz.de/10010746119
quantities based on long span data. Our estimation method makes use of the local stationarity. We establish asymptotic theory for …
Persistent link: https://www.econbiz.de/10011126569
This paper develops methods of investigating the existence and extent of cointegration in fractionally integrated systems. We focus on stationary series, with some discussion of extension to nonstationarity. The setting is semiparametric, so that modelling is effectively confined to a...
Persistent link: https://www.econbiz.de/10010745024
) estimates of parametric models for stationary time series with long memory. CSS estimation has been considered as a rival to … Gaussian maximum likelihood and Whittle estimation of time series models. The latter kinds of estimate have been rigorously … infinite autoregressive representation inherent in CSS estimation has been essentially ignored in proofs of asymptotic …
Persistent link: https://www.econbiz.de/10010745068
, one of order m-1/2 (where m is the bandwidth number in the estimation), the other a bias term, which increases in m …
Persistent link: https://www.econbiz.de/10010745104
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We consider the long memory and leverage properties of a model for the conditional variance of an observable stationary sequence, where the conditional variance is the square of an inhomogeneous linear combination of past values of the observable sequence, with square summable weights. This...
Persistent link: https://www.econbiz.de/10010745453
Smoothed nonparametric estimates of the spectral density matrix at zero frequency have been widely used in econometric inference, because they can consistently estimate the covariance matrix of a partial sum of a possibly dependent vector process. When elements of the vector process exhibit long...
Persistent link: https://www.econbiz.de/10010745476