REMINDER CENTRE FOR MEDICAL STATISTICS SEMINAR SERIES on BIOSTATISTICS 2001/2002 NO 3: Wednesday, November 28th, 2001, at 2:30 pm "Singular spectrum analysis as a technique of time series analysis and change-point detection" Anatoly Zhigljavsky Cardiff University SSA, the Singular Spectrum Analysis, is a general term referring to the technique of time series analysis based on singular value decomposition of the 'delay matrix' formed by combining several lagged copies of the original series. There is a certain flexibility in the methodology that could make it extremely powerful. We use a large amount of real data from different fields to elucidate the key ideas of the methodology, to demonstrate its power, and to caution about snags. We also describe some underlying mathematical/statistical models and related theoretical results. The basic problems here are separation of one signal from another and separation of a signal from noise. The signals are, roughly speaking the time series that are well approximated by solutions of finite-difference equations and the noise is what could not be well approximated by solutions of such equations. Noise is thus modelled in a non-stochastic manner but it could certainly include stochastic components. The problems we consider are: analysis of structure of time series, time series forecast and change-point detection. All welcome!! Venue: Room 2.22, Third Floor MacKay Building Keele University http://www.keele.ac.uk http://www.keele.ac.uk/depts/ma/seminars/medstats.html http://www.keele.ac.uk/university/campus/maps/ ***************************** Janet Drewery Centre for Medical Statistics MacKay Building Keele University Keele, Staffs ST5 5BG Tel: (01782) 583269 Fax: (01782) 583269/584268 E-mail: [log in to unmask] *****************************