MATH5905 is a honours and postgraduate coursework mathematics course.

Units of credit: 6

Prerequisites: MATH2801, MATH2901 or MATH5846 and MATH5856, or admitted to the postgraduate program of the Department of Statistics

Excluded: MATH3811, MATH3911

Cycle of offering: Term 1 

Graduate attributes: The course will enhance your research, inquiry and analytical thinking abilities.

More information: This recent course handout (PDF) contains information about course objectives, assessments, course materials and the syllabus. 

The online handbook entry contains up-to-date timetabling information. 

If you are currently enrolled in MATH5905, you can log into UNSW Moodle for this course.

Course overview

This course provides a theoretical foundation for statistical inference. The three main goals in inference (estimation, confidence set construction and hypothesis testing) are discussed in decision theoretic framework. Emphasis is put on frequentist and Bayesian approaches. 

Parametric, nonparametric and robust procedures are compared and contrasted. Optimality of inference is discussed for fixed sample size and in asymptotic sense. Higher order asymptotic methods are also introduced.

Computationally intensive procedures such as the bootstrap are illustrated theoretically and numerically. Many illustrative examples and practical applications will be discussed.