2021-2022 / SDOC0032-1

Analysis of time series

Duration

20h Th

Number of credits

 Doctoral training in sciences (BMCB)3 crédits 

Lecturer

Samuel Nicolay

Language(s) of instruction

French language

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

The aim of the time series analysis is to studying variables over time. Time series are used in astronomy, meteorology, econometry and financial mathematics. There are several types of data analysis available for time series which are appropriate for different purposes.
General exploration

  • Graphical examination of data series
  • Autocorrelation analysis
  • Spectral analysis
Description
  • Separation into components representing trend, seasonality, slow and fast variation
  • Simple properties of marginal distribution
Prediction and forecasting
  • Fully formed statistical models for stochastic simulation purposes.
  • Simple or fully formed statistical models to describe the likely outcome of the time series.

Learning outcomes of the learning unit

The aim of the course is to provide the tools that are necessary to perform basic time series analysis.
The student should be able to solve autonomously typical problems of the time series analysis.

Prerequisite knowledge and skills

General mathematic course

Planned learning activities and teaching methods

The exercises are directed by the assistants. The student will put the notions taught during the course into practise.

Mode of delivery (face to face, distance learning, hybrid learning)

The course will be given following the timetable available at the beginning of the academic year

Recommended or required readings

Assessment methods and criteria

The exam consists in solving problems given at the beginning of the exam.

Work placement(s)

Organizational remarks

Contacts

S. Nicolay Analyse mathématique Institut de Mathématique - Grande Traverse, 12 - Sart Tilman -Bât. B 37 - 4000 LIEGE 1 email: S.Nicolay@ulg.ac.be

Items online

Course notes
Notes will be given at the beginningof the course.