Skip to main content
Unit of study_

STAT4025: Time Series

2025 unit information

This unit will study basic concepts and methods of time series analysis applicable in many real world problems in numerous fields, including economics, finance, insurance, physics, ecology, chemistry, computer science and engineering. This unit will investigate the basic methods of modelling and analyzing of time series data (i.e. data containing serially dependence structure). This can be achieved through learning standard time series procedures on identification of components, autocorrelations, partial autocorrelations and their sampling properties. After setting up these basics, students will learn the theory of stationary univariate time series models including ARMA, ARIMA and SARIMA and their properties. Then the identification, estimation, diagnostic model checking, decision making and forecasting methods based on these models will be developed with applications. The spectral theory of time series, estimation of spectra using periodogram and consistent estimation of spectra using lag-windows will be studied in detail. Further, the methods of analyzing long memory and time series and heteroscedastic time series models including ARCH, GARCH, ACD, SCD and SV models from financial econometrics and the analysis of vector ARIMA models will be developed with applications. By completing this unit, students will develop the essential basis for further studies, such as financial econometrics and financial time series. The skills gained through this unit of study will form a strong foundation to work in a financial industry or in a related research organization.

Unit details and rules

Managing faculty or University school:

Science

Study level Undergraduate
Academic unit Mathematics and Statistics Academic Operations
Credit points 6
Prerequisites:
? 
STAT2X11 and (MATH1062 or MATH1962 or MATH1972 or MATH1X03 or MATH1907 or MATH1X23 or MATH1933)
Corequisites:
? 
None
Prohibitions:
? 
STAT3925
Assumed knowledge:
? 
None

At the completion of this unit, you should be able to:

  • LO1. 1. Explain and examine time series data and Identify components of a time series; remove trends, seasonal and other components.
  • LO2. Identify stationarity time series; sample autocorrelations and partial autocorrelations, probability models for stationary time series.
  • LO3. Explain homogeneous nonstationary time series, simple and integrated models and related results.
  • LO4. Apply estimation and fitting methods for ARIMA models via MM and MLE methods. Apply hypothesis testing, diagnostic checking and goodness-of-fit tests
  • LO5. Apply hypothesis testing, diagnostic checking and goodness-of-fit tests methodology.
  • LO6. Construct forecasting methods for ARIMA models.
  • LO7. Explain spectral methods in time series analysis
  • LO8. Apply financial time series and related models to straightforward problems.
  • LO9. Apply the methods of analysis of GARCH and other models for volatility.
  • LO10. Explain and apply methods of vector time series models

Unit availability

This section lists the session, attendance modes and locations the unit is available in. There is a unit outline for each of the unit availabilities, which gives you information about the unit including assessment details and a schedule of weekly activities.

The outline is published 2 weeks before the first day of teaching. You can look at previous outlines for a guide to the details of a unit.

Session MoA ?  Location Outline ? 
Semester 1 2024
Normal day Camperdown/Darlington, Sydney
Session MoA ?  Location Outline ? 
Semester 1 2025
Normal day Camperdown/Darlington, Sydney
Outline unavailable
Session MoA ?  Location Outline ? 
Semester 1 2020
Normal day Camperdown/Darlington, Sydney
Semester 1 2021
Normal day Camperdown/Darlington, Sydney
Semester 1 2021
Normal day Remote
Semester 1 2022
Normal day Camperdown/Darlington, Sydney
Semester 1 2022
Normal day Remote
Semester 1 2023
Normal day Camperdown/Darlington, Sydney
Semester 1 2023
Normal day Remote

Find your current year census dates

Modes of attendance (MoA)

This refers to the Mode of attendance (MoA) for the unit as it appears when you’re selecting your units in Sydney Student. Find more information about modes of attendance on our website.