Statistical analysis and modeling of observations in temporal order, which exhibit dependence. Stationarity, trend estimation, seasonal decomposition, autocorrelations, spectral and wavelet analysis, ARIMA-, GARCH- and state space models. Implementations in the software R.
Objective
Understanding of the basic models and techniques used in time series analysis and their implementation in the statistical software R.
Content
This course deals with modeling and analysis of variables which change randomly in time. Their essential feature is the dependence between successive observations. Applications occur in geophysics, engineering, economics and finance. Topics covered: Stationarity, trend estimation, seasonal decomposition, autocorrelations, spectral and wavelet analysis, ARIMA-, GARCH- and state space models. The models and techniques are illustrated using the statistical software R.
Lecture notes
Not available
Literature
A list of references will be distributed during the course.
Prerequisites / Notice
Basic knowledge in probability and statistics
Performance assessment
Performance assessment information (valid until the course unit is held again)