A first course in mathematical statistics for actuarial studies with emphasis on applications; probability, random variables, moment generating functions and correlation, sampling distributions, estimation of parameters by the methods of moments and maximum likelihood, hypothesis testing, the central limit theorem, bayesian statistics and credibility theory.
Learning Outcomes
Upon successful completion, students will have the knowledge and skills to:
Upon successful completion of the requirements for this course, students will be able to:- Use and calculate probability including combinatorics
- Use and describe discrete, continuous and mulivariate random variables and their probability distributions
- Define sampling distributions and use the central limit theorem
- Use the method of moments and maximum likelihood estimation
- Perform confidence estimation and hypothesis testing
- Use and describe the fundamental concepts of Bayesian statistics and Bayesian estimators, including credibility estimators.
Indicative Assessment
Typical assessment may include, but is not restricted to: assignments and a final exam.The ANU uses Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. While the use of Turnitin is not mandatory, the ANU highly recommends Turnitin is used by both teaching staff and students. For additional information regarding Turnitin please visit the ANU Online website.
Workload
Students are expected to commit at least 10 hours per week to completing the work in this course. This will include at least 3 contact hours per week and up to 7 hours of private study time.Requisite and Incompatibility
Prescribed Texts
Wackerly, D.D., Mendenhall III, W., and Scheaffer, R.L. (2008). Mathematical Statistics with Applications, Seventh edition. Duxbury, Thomson, Brooks/Cole.Owen, W.J. (2008). Student Solutions Manual for Wackerly, Mendenhall, and Scheaffer’s Mathematical Statistics with Applications, Seventh Edition. Duxbury, Thomson, Brooks/Cole.
Preliminary Reading
Other recommended texts (amongst much similar material in the Hancock Library):
Miller, I., and Miller, M. (2014). John E. Freund's Mathematical Statistics with Applications, Eighth Edition. Pearson.
Spiegel, M.R., Schiller, J.J., and Srinivasan, R.A. (2013). Schaum's Outline of Probability and Statistics, Fourth Edition. McGraw-Hill.
Fees
Tuition fees are for the academic year indicated at the top of the page.
If you are a domestic graduate coursework or international student you will be required to pay tuition fees. Tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.
- Student Contribution Band:
- 2
- Unit value:
- 6 units
If you are an undergraduate student and have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). You can find your student contribution amount for each course at Fees. Where there is a unit range displayed for this course, not all unit options below may be available.
| Units | EFTSL |
|---|---|
| 6.00 | 0.12500 |
Course fees
- Domestic fee paying students
| Year | Fee |
|---|---|
| 2019 | $3840 |
- International fee paying students
| Year | Fee |
|---|---|
| 2019 | $5460 |
Offerings, Dates and Class Summary Links
ANU utilises MyTimetable to enable students to view the timetable for their enrolled courses, browse, then self-allocate to small teaching activities / tutorials so they can better plan their time. Find out more on the Timetable webpage.
Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.
First Semester
| Class number | Class start date | Last day to enrol | Census date | Class end date | Mode Of Delivery | Class Summary |
|---|---|---|---|---|---|---|
| 3604 | 24 Feb 2020 | 02 Mar 2020 | 08 May 2020 | 05 Jun 2020 | In Person | View |
| 4858 | 24 Feb 2020 | 02 Mar 2020 | 08 May 2020 | 05 Jun 2020 | Online | View |
Second Semester
| Class number | Class start date | Last day to enrol | Census date | Class end date | Mode Of Delivery | Class Summary |
|---|---|---|---|---|---|---|
| 8612 | 27 Jul 2020 | 03 Aug 2020 | 31 Aug 2020 | 30 Oct 2020 | In Person | View |