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Theoretical Statistics and Probability (S04)

Course details
  • 1 Study option
  • Undergraduate
Course location
Distance Learning
Awarded by:
The Open University

Course summary

Strengthen your understanding of the mathematical foundations of statistics with this graduate-level certificate. You’ll study probability theory and statistical inference, developing the ability to analyse models, understand assumptions, and assess limitations. The programme introduces you to the theory underlying practical statistical methods and concepts, giving you the tools to construct and evaluate probability models. Ideal for professionals seeking to advance in data-focused roles or those preparing for further postgraduate study, this certificate equips you with rigorous theoretical insight into statistical practice.

Key features of the course

  • Cover analytical approaches, classical and Bayesian statistics and the underpinning mathematical theory

  • Learn about distribution theory and a range of probabilistic models

  • Understand the theory behind statistical inference

  • Gain the skills to comment critically on analyses and model choices

Modules

Course Modules

This theoretical statistics and probability certificate has one stage, comprising 60 credits.

Stage 1: You’ll study two 30-credit modules that provide the mathematical underpinning for statistical methods and introduce stochastic process models to describe patterns of events.

How to apply

Application codes

This course may be available at alternative locations, please check if other course options are available.

Course options

Entry requirements

You must have an undergraduate degree with substantial mathematical and/or statistical content.

You need a high degree of mathematical competence in the following areas:
logarithmic and exponential functions
calculus (including Taylor series)
algebra (including manipulation of inequalities)
matrices.

In addition, you’ll need a working knowledge of the following statistical topics:
histograms and scatterplots
Normal, Poisson and binomial distributions
the central limit theorem
point estimation
maximum likelihood estimation
confidence intervals
hypothesis testing
simple linear regression
correlation.

Historical entry grades data

This section shows the range of grades that students who received offers were previously accepted on to this course with (learn more).

It is designed to support your research but does not guarantee whether you will or won't get a place.

Admissions teams consider various factors, including interviews, subject requirements, and entrance tests. Check all course entry requirements for eligibility.

This course may have Historical entry grades data available, please select a course option to view.

Course options

Fees and funding

Tuition fees

No fee information has been provided for this course

Tuition fee status depends on a number of criteria and varies according to where in the UK you will study. For further guidance on the criteria for home or overseas tuition fees, please refer to the UKCISA website.

Additional fee information

For fees and funding information about this course, please refer to the course description on The Open University website.

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