Continuous-Parameter Time Series

Download or read book Continuous-Parameter Time Series written by Peter J. Brockwell and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-07-22 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained account of continuous-parameter time series, starting with second-order models. Integration with respect to orthogonal increment processes, spectral theory and linear prediction are treated in detail. Lévy-driven models are incorporated, extending coverage to allow for infinite variance, a variety of marginal distributions and sample paths having jumps. The necessary theory of Lévy processes and integration of deterministic functions with respect to these processes is developed at length. Special emphasis is given to the analysis of continuous-time ARMA processes.