University Course Planner The University of Adelaide Australia

STATS 7059 - Mathematical Statistics

Career: Postgraduate Coursework
Units: 3
Term: Semester 1
Campus: North Terrace
Contact: Up to 3 hours per week
Available for Study Abroad and Exchange: Yes
Available for Non-Award Study: Yes
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

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Student Status

Domestic
International

What type of place are you studying in

Commonwealth supported
Full fee paying

Study Level

Undergraduate
Postgraduate Coursework
Non Award

Program of Study

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

Units
EFTSL
Amount
3
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
Semester 1 Tue 15/03/2022 Thu 24/03/2022 Fri 06/05/2022 Fri 10/06/2022


Class Details

Enrolment Class: Workshop
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.