University Course Planner The University of Adelaide Australia

STATS 3006 - Mathematical Statistics III

Career: Undergraduate
Units: 3
Term: Semester 1
Campus: North Terrace
Contact: Up to 3 hours per week
Available for Non-Award Study: Yes
Pre-Requisite: STATS 2107 or (MATHS 2201 and MATHS 2202)
Assumed Knowledge: STATS 2107
Assessment: ongoing assessment 30%, exam 70%
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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  Commonwealth Supported Student Contribution
Tuition Fees
Units EFTSL Pre-2010 2010 Onwards Domestic International
3 0.125 Band 2 $1,131 Band 2 $1,131 select program select program


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 Mon 13/03/2017 Fri 31/03/2017 Fri 05/05/2017 Fri 09/06/2017


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
10750 LE01 50 9 27 Feb - 3 Apr Monday 3pm - 4pm Benham, G10, Benham Lecture Theatre
1 Mar - 5 Apr Wednesday 4pm - 5pm Benham, G10, Benham Lecture Theatre
3 Mar - 7 Apr Friday 2pm - 3pm Barr Smith South, 534, Forum Lecture Theatre
24 Apr - 5 Jun Monday 3pm - 4pm Benham, G10, Benham Lecture Theatre
26 Apr - 7 Jun Wednesday 4pm - 5pm Benham, G10, Benham Lecture Theatre
28 Apr - 9 Jun Friday 2pm - 3pm Barr Smith South, 534, Forum Lecture Theatre