Statistics for Insurance - MAST5010

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Module delivery information

Location Term Level1 Credits (ECTS)2 Current Convenor3 2021 to 2022
Spring Term 5 15 (7.5) Peng Liu checkmark-circle


This module covers aspects of Statistics which are particularly relevant to insurance. Some topics (such as risk theory and credibility theory) have been developed specifically for actuarial use. Other areas (such as Bayesian Statistics) have been developed in other contexts but now find applications in actuarial fields. Stochastic processes of events such as accidents, together with the financial flow of their payouts underpin much of the work. Since the earliest games of chance, the probability of ruin has been a topic of interest. Outline Syllabus includes: Decision Theory; Bayesian Statistics; Loss Distributions; Reinsurance; Credibility Theory; Empirical Bayes Credibility theory; Risk Models; Ruin Theory; Generalised Linear Models; Run-off Triangles.


Contact hours

Total contact hours: 48
Private study hours: 102
Total study hours: 150

Method of assessment

80% Examination, 20% Coursework

Indicative reading

The students are provided with the study notes published by the Actuarial Education Company and a copy of "Formulae and Tables for Examinations".

The following book is also relevant:
PJ Boland Statistical and Probabilistic Methods in Actuarial Science (Chapman & Hall, 2007)

See the library reading list for this module (Canterbury)

Learning outcomes

The intended subject specific learning outcomes. On successfully completing the module students will be able to:

1 explain basic concepts and models in decision analysis and statistics, as presented in the module, and apply them in insurance;
2 construct risk models appropriate to short term insurance contracts and make the related statistical inference;
3 describe and apply the fundamental concepts of credibility theory;
4 describe and apply the basic methodology used in rating general insurance business;
5 describe and apply techniques for analysing a delay (or run-off) triangle.

The intended generic learning outcomes. On successfully completing the module students will be able to:

1 demonstrate probabilistic and statistical skills in solving financial problems;
2 demonstrate enhanced conceptual skills and logical reasoning ability;
3 demonstrate a broad understanding of the range of application of statistics to financial processes.


  1. Credit level 5. Intermediate level module usually taken in Stage 2 of an undergraduate degree.
  2. ECTS credits are recognised throughout the EU and allow you to transfer credit easily from one university to another.
  3. The named convenor is the convenor for the current academic session.
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