MAT005: Time Series and Forecasting

School Cardiff School of Mathematics
Department Code MATHS
Module Code MAT005
External Subject Code 100406
Number of Credits 10
Level L7
Language of Delivery English
Module Leader Dr Mark Tuson
Semester Spring Semester
Academic Year 2025/6

Outline Description of Module

Forecasting methods are utilised in a range of industries and are important tools for both Statisticians and Operational Researchers.  This module will introduce the students to time series models and associated forecasting methods.  It will demonstrate how such models and methods can be implemented to analyse time series data, and for students to appreciate the different fields of applications.  Computer workshops will allow students to build and experiment with practical forecasting tools using data from a variety of applications.

On completion of the module a student should be able to

  1. Fit models for data from a large variety of sources.
  2. Appreciate and use modern methods of statistical inference.
  3. Forecast using a range of methods, including exponential smoothing methods and ARMA and ARIMA models.

How the module will be delivered

You will be guided through learning activities appropriate to your module, which may include:

  • Weekly face to face classes (e.g. labs, lectures, exercise classes)
  • Electronic resources to support the learning (e.g. videos, exercise sheets, lecture notes, quizzes)

Students are also expected to undertake at least 50 hours of self-guided study throughout the duration of the module, including preparation of formative assessments.

Skills that will be practised and developed

Please see Learning Outcomes.

Assessment Breakdown

Type % Title Duration(hrs)
Written Assessment 100 Coursework N/A

Syllabus content

Time series models: decomposition, analysis and removal of trends and seasonality.

Exponential smoothing methods: single exponential, Holt and Holt-Winters methods.

Autoregressive, moving average and ARMA models.

Non-stationary series - ARIMA-models.  Forecasting using ARIMA models.


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