Box and Jenkins (1970) made the idea of obtaining a stationary time series bydifferencing the given, possibly nonstationary, time series popular. Numeroustime series in economics are found to have this property. Subsequently, Granger and Joyeux (1980) and Hosking (1981) found examples of time series whose fractional difference becomes a short memory process, in particular, a white noise, while the initial series has unbounded spectral density at the origin, i.e. exhibits long memory. Further examples of data following long memory were found in hydrology and in network traffic data while in finance the phenomenon of strong dependence was established by dramatic empirical success of long memory processes in modeling the volatility of the asset prices and power transforms of stock market returns. At present there is a need for a text from where an interested reader can methodically learn about some basic asymptotic theory and techniques found useful in the analysis of statistical inference procedures for long memory processes. This text makes an attempt in this direction. Theauthors provide in a concise style a text at the graduate level summarizing theoretical developments both for short and long memory processes and their applications to statistics. The book also contains some real data applications and mentions some unsolved inference problems for interested researchers in the field. INDICE: Introduction; Some Preliminaries; Long Memory Processes; Limit Theory for Sums; Properties of the DFT and the Periodogram; Asymptotic Theory forQuadratic Forms; Parametric Models; Estimation; Elementary Inference Problems; Empirical Processes; Regression Models; Non-parametric Regression; Model Diagnostics; Appendix.
- ISBN: 978-1-84816-278-5
- Editorial: Imperial College
- Encuadernacion: Cartoné
- Páginas: 596
- Fecha Publicación: 27/06/2012
- Nº Volúmenes: 1
- Idioma: Inglés