• Offered by Rsch Sch of Finance, Actuarial Studies & App Stats
• ANU College ANU College of Business and Economics
• Course subject Statistics
• Areas of interest Statistics
• Mode of delivery In Person
• Offered in First Semester 2014
Statistical Inference (STAT3013)

This course introduces students to the basic theory behind the development and assessment of statistical analysis techniques in the areas of point and interval estimation and hypothesis testing.

Topics include: Point estimation methods, including method of moments and maximum likelihood; Bias and variance; Mean-squared error and the Cramer-Rao inequality; Sufficiency, completeness and exponential families; the Rao-Blackwell theorem and uniformly minimum variance unbiased estimators; Bayesian estimation methods; Resampling estimation methods, including the jackknife and the bootstrap; Confidence interval construction methods, including likelihood-based intervals, inversion methods, intervals based on pivots and simple resampling-based percentile intervals; Highest posterior density and Bayesian credibility regions; Likelihood ratio tests and the Neymann- Pearson lemma; Power calculations and uniformly most powerful tests; Rank-based non-parametric tests, including the sign-test and Wilcoxon tests.

## Learning Outcomes

Upon successful completion, students will have the knowledge and skills to:

To achieve an understanding of and facility in:

• the notion of a parametric probability model, and point estimation of the parameters of these models.
• extend estimation procedures to include a measure of their accuracy and our confidence in them by examining the area of interval estimation.
• assessing the plausibility of pre-specified ideas about the parameters of the model by examining the area of hypothesis testing.
• non-parametric statistics, wherein estimation and analysis techniques are developed that are not heavily dependent on the specification of an underlying parametric model.

On completion of this course students should have an understanding of and be able to apply the techniques outlined in the course description.

## Other Information

See the course outline on the College courses page. Outlines are uploaded as they become available.

## Indicative Assessment

A final examination (80%) and assignment (20%).

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.

10 hours per week.

## Requisite and Incompatibility

To enrol in this course you must have completed STAT 2001 Introductory Mathematical Ststistics

## 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. Students continuing in their current program of study will have their tuition fees indexed annually from the year in which you commenced your program. 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
1994-2003 \$2784
2004 \$3084
2005 \$3084
2006 \$3090
2007 \$3090
2008 \$3090
2009 \$3090
2010 \$3090
2011 \$3090
2012 \$3090
2013 \$3246
2014 \$3246
International fee paying students
Year Fee
1994-2003 \$2784
2004 \$3084
2005 \$3084
2006 \$3132
2007 \$3264
2008 \$3264
2009 \$3264
2010 \$3576
2011 \$3582
2012 \$3582
2013 \$3756
2014 \$3762
Note: Please note that fee information is for current year only.

## Offerings, Dates and Class Summary Links

The list of offerings for future years is indicative only.
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
4467 17 Feb 2014 07 Mar 2014 31 Mar 2014 30 May 2014 In Person N/A