20236 - TIME SERIES ANALYSIS OF ECONOMIC-FINANCIAL DATA
Course taught in English
Go to class group/s: 31
Basic notions of Statistics and Probability.
The analysis of dynamic phenomena is extremely important in economic and financial studies. The course aims at providing solid methodological background and data-analysis skills for time series analysis, covering classical as well as modern techniques for non stationary time series, based on state-space models.
- Aims of time series analysis and descriptive techniques:
- Time series decomposition. Exponential smoothing.
- Probabilistic models for time series analysis:
- Time series as a discrete time stochastic process.
- Stationary processes. Summaries; estimation of the autocorrelation function.
- Examples: White noise. Gaussian processes. Random walks.
- Markov chains: basic notions; inference for Markov processes.
- ARMA and ARIMA models: basic notions; inference and prediction.
- State space models for time series analysis:
- Motivating examples: non-stationary series; structural breaks; stochastic volatility; streaming data; multivariate time series.
- State space models: definition and main properties.
- Hidden Markov models. Dynamic linear models (dlm).
- Estimation, forecasting and control. Kalman filter.
- Examples for economic and financial time series. Dynamic linear models for trend, seasonality, cycle.
- Dynamic regression by dlm.
- Maximum likelihood estimation of unknown parameters.
- Bayesian inference.
- Analysis of multivariate time series (multivariate ARMA models; dynamic regression-estimation of the term structure of interest rates; seemingly unrelated time series models; factor models).
- Bayesian inference and forecasting via Markov Chain Monte Carlo (MCMC).
- Recent developments.
- Explain and describe the main statistical methods for time series analysis.
- Identify the models, estimate and make forecasts for dyamic systems, both stationary and non-stationary, with an adeguate quantification of uncertainty and risk.
- Apply and properly interpret the models and methods presented in the course in applications.
- Use adeguate statistical software (R and main R functions for time series analysis).
- Evaluate and justify their analysis on real data.
- Prepare appropriate reports of their statistical analysis in real data applications.
- Face-to-face lectures
- Exercises (exercises, database, software etc.)
- Group assignments
- Exercises: lectures in the computer room ('laboratories') on analysis of real data. Software: R, freely available at www.r-project.org. An R-package, 'dlm', has been developed for this course.
- Students are involved in the learning process through individual and team work in periodic assignments.
|Continuous assessment||Partial exams||General exam|
- There are no partial exams, but take-home assignments (individual or team work).
Assigments are not mandatory, but strongly encouraged for an active learning. They are not evaluated for the final exam; yet, students who did not deliver the assignments have to answer additional questions on data-analysis with R in the written proof.
- A final project on real data analysis (individual or team work) is mandatory and evaluated for the final exam (30%).
- Written proof (70%; it can be 100% if poorly done) .
- C. CHATFIELD, The Analysis of Time Series, Chapman & Hall/CRC, 2004, 6th edition.
- G. PETRIS, S. PETRONE, P. CAMPAGNOLI, Dynamic Linear Models with R, Springer, New York, 2009.
- S. PETRONE, Lecture notes: Introduction to Markov Chains, 2015.
- Lecture notes, data sets, R code, R Markdown templates etc are made available on the Bboard of the course.