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ST959 Financial Statistics

Please note that all lectures for Statistics modules taught in the 2022-23 academic year will be delivered on campus, and that the information below relates only to the hybrid teaching methods utilised in 2021-22 as a response to Coronavirus. We will update the Additional Information (linked on the right side of this page) prior to the start of the 2022/23 academic year.

Throughout the 2021-22 academic year, we will be adapting the way we teach and assess your modules in line with government guidance on social distancing and other protective measures in response to Coronavirus. Teaching will vary between online and on-campus delivery through the year, and you should read the additional information linked on the right hand side of this page for details of how this will work for this module. The contact hours shown in the module information below are superseded by the additional information.You can find out more about the University’s overall response to Coronavirus at:

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ST959-15 Financial Statistics

Academic year
Taught Postgraduate Level
Module leader
Sigurd Assing
Credit value
Module duration
10 weeks
Study location
University of Warwick main campus, Coventry
Introductory description

This module runs in Term 1 and aims to introduce the main approaches to statistical inference and financial time series.

Module aims

Upon completing this module, students need to be able to analyse, explain and apply the statistical techniques to finance.

Outline syllabus

This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.

Part 1: Classical and Bayesian methods of statistical inference (weeks 1-5)

  • Properties of random samples
  • Statistics, sufficiency and likelihood
  • Point estimation, maximum likelihood estimation
  • Hypothesis testing and interval estimation
  • Elements of Bayesian inference
  • Linear models

Part 2: Time Series (weeks 6-10)

  • Auto-regressive and moving average models (ARMA), unit root (ARIMA) and seasonal models (S-ARIMA), heteroscedastic models (GARCH and extensions such as EGARCH, GARCH-M,...) and an introduction to stochastic volatility models.
  • Linear and non-linear modelling of financial time series with R: exploratory analysis, model selection, model fitting, model validation and forecasting.
  • Illustrative financial applications.
Learning outcomes

By the end of the module, students should be able to:

  • Explain the different approaches of statistical inference for points estimation, hypothesis testing and confidence set construction.
  • Apply linear models in general situations and perform ANOVA.
  • Understand and critically analyse ARMA, unit root, S-ARIMA, and GARCH models. Apply these models to financial data and carry out relevant computations.
  • Demonstrate an understanding of the generalised linear model, including an appreciation of the circumstances where it may or may not be applied and, where appropriate, good judgement of where to apply it.
Indicative reading list

Part 1:

  • George Casella, Roger Berger: Statistical Inference, (2002) Cengage Learning; 2nd edition
  • David Ruppert and David S. Matteson: Statistics and Data Analysis for Financial Engineering: with R examples, Springer; 2nd edition
  • Larry A. Wasserman: All of Statistics: A Concise Course in Statistical Inference, Springer

Part 2:

  • Jonathan D. Cryer and Kung-Sik Chan: (2008) Time Series Analysis: With applications in R, Spinger, 2nd edition
  • David Ruppert and David S. Matteson: (2015) Statistics and Data Analysis for Financial Engineering: with R examples, Springer; 2nd edition
  • Ruey S Tsay: (2010) Analysis of Financial times series, Wiley; 3rd edition
  • Financial Econometrics by Christian Gourieroux and Joann Jasiak, Princeton University Press.

View reading list on Talis Aspire

Subject specific skills


Transferable skills


Study time

Type Required
Lectures 30 sessions of 1 hour (20%)
Practical classes 7 sessions of 1 hour (5%)
Private study 111 hours (74%)
Assessment 2 hours (1%)
Total 150 hours
Private study description

Weekly revision of lecture notes and materials, wider reading, practice exercises and preparing for examination.


No further costs have been identified for this module.

You do not need to pass all assessment components to pass the module.

Assessment group D1
Weighting Study time
Class Test 5%

Term 1 Week 7.
This class test will take place during a lecture and will be based on the first part of the course.

Project 2 15%

Term 2 Week 1.
You will undertake a project in R based on the content delivered in the second part of the course. Please note that the word count is not applicable for this Project.

Examination 80% 2 hours

~Platforms - Moodle

  • Answerbook Pink (12 page)
  • Students may use a calculator
Assessment group R2
Weighting Study time
Locally Timetabled Examination - Resit 100%

Duration 2 hours

Feedback on assessment
  • Verbal qualitative feedback will be given after the class test.
  • Written quantitative and qualitative feedback will be given after the final exam and the computational project.

Past exam papers for ST959


This module is Core for:

  • Year 1 of TIBS-N3G2 Postgraduate Taught Mathematical Finance