STATS 7059 - Mathematical Statistics
Career: | Postgraduate Coursework |
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Units: | 3 |
Term: | 4210 |
Campus: | North Terrace |
Contact: | Up to 3 hours per week |
Available for Study Abroad and Exchange: | Yes |
Available for Non-Award Study: | No |
Assumed Knowledge: | (MATHS 1012 and STATS 2107) or (MATHS 2201 and MATHS 2202 and STATS 2107) or (MATHS 2106 and MATHS 2107 and STATS 2107). |
Assessment: | Ongoing assessment, exam |
Syllabus: |
Statistical methods used in practice are based on a foundation of statistical theory. One branch of this theory uses the tools of probability to establish important distributional results that are used throughout statistics. Another major branch of statistical theory is statistical inference. It deals with issues such as how do we define a "good" estimator or hypothesis test, how do we recognise one and how do we construct one? This course is concerned with the fundamental theory of random variables and statistical inference. Topics covered are: calculus of distributions, moments, moment generating functions; multivariate distributions, marginal and conditional distributions, conditional expectation and variance operators, change of variable, multivariate normal distribution, exact distributions arising in statistics; weak convergence, convergence in distribution, weak law of large numbers, central limit theorem; statistical inference, likelihood, score and information; estimation, minimum variance unbiased estimation, the Cramer-Rao lower bound, exponential families, sufficient statistics, the Rao-Blackwell theorem, efficiency, consistency, maximum likelihood estimators, large sample properties; tests of hypotheses, most powerful tests, the Neyman-Pearson lemma, likelihood ratio, score and Wald tests, large sample properties. |
Course Fees
Study Abroad student tuition fees are available here
Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information.
The fees displayed below for international students are for students commencing a program in 2024 only. International students who commenced a program in 2023 or prior can find their fee here.
EFTSL | |||
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0.125 |
Course Outline
A Course Outline which includes Learning Outcomes, Learning Resources, Learning & Teaching for this course may be accessed here
Critical Dates
Term | Last Day to Add Online | Census Date | Last Day to WNF | Last Day to WF |
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4210 | Tue 15/03/2022 | Thu 24/03/2022 | Fri 06/05/2022 | Fri 10/06/2022 |
Class Details
Enrolment Class: Workshop | |||||||
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Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
10594 | WR01 | 3 | 1 | 4 Mar - 8 Apr | Friday | 11am - 12pm | Napier, 208, Lecture Theatre |
29 Apr - 3 Jun | Friday | 11am - 12pm | Napier, 208, Lecture Theatre | Note: This class will be delivered both online and face to face. Please refer to MyUni for details once enrolled. | |||
Related Class: Tutorial | |||||||
Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
10599 | TU01 | 3 | 1 | 1 Mar - 5 Apr | Tuesday | 1pm - 2pm | Barr Smith South, 2040, Teaching Room |
26 Apr - 31 May | Tuesday | 1pm - 2pm | Barr Smith South, 2040, Teaching Room | Note: This class is only available for face-to-face (on-campus) students. | |||
Related Class: Lecture | |||||||
Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
19410 | LEC0 | 3 | 1 | This class does not have any timetabled face-to-face sessions. Please check MyUni or contact your Course Coordinator for details. |