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ACSC12-200: Mathematical Statistics


This is an intermediate level subject in the theory and practice of statistical inference. It extends STAT11-112 in the areas of probability and distribution theory, discrete and continuous random variables and joint distributional behaviour, as well as introducing principles of likelihood theory, estimation, confidence intervals and hypothesis tests. In addition, topics such as moment and cumulant generating functions are introduced, as well as an introduction to random sums and Central Limit Theorem based large-sample distributional approximations.

Subject details

FacultyBond Business School
Semesters offered
  • September 2018 [Standard Offering]
  • May 2019 [Standard Offering]
  • September 2019 [Standard Offering]
  • May 2020 [Standard Offering]
Study abroadAvailable to Study Abroad students
Study areas
  • Actuarial Science
Subject fees
  • Commencing in 2018: $4,247
  • Commencing in 2019: $4,290

Learning outcomes

1. Explain the concepts of probability and calculate probabilities in a variety of scenarios.
2. Define and derive probability generating functions, moment generating functions and cumulant generating functions and use them to evaluate moments and cumulants and recognise distributions.
3. Define, apply and undertake calculations relating to basic discrete and continuous distributions.
4. Explain and apply the concepts of multivariate random variables, and their joint probability distributions.
5. Describe and apply the main methods of estimation and the main properties of estimators.
6. Construct and interpret a variety of confidence intervals and test a variety of hypotheses.
7. Apply simple and basic multiple regression


Please check the subject outline for pre-requisite subjects.

Subject outlines

Subject dates

Standard Offering
Enrolment opens18/03/2018
Semester start14/05/2018
Subject start14/05/2018
Cancellation 1?28/05/2018
Cancellation 2?04/06/2018
Last enrolment27/05/2018
Last withdrawal?08/06/2018
Teaching census?08/06/2018
Standard Offering
Enrolment opens15/07/2018
Semester start10/09/2018
Subject start10/09/2018
Cancellation 1?24/09/2018
Cancellation 2?01/10/2018
Last enrolment23/09/2018
Last withdrawal?05/10/2018
Teaching census?05/10/2018