BIOSTATS 6003EX - Probability and Distribution Theory
|Restriction:||Available to Grad Cert, Grad Dip, M Biostatistics students. Check with School for Non-Award Study.|
|Available for Study Abroad and Exchange:||No|
|Available for Non-Award Study:||Check with School|
|Assessment:||Two major assignments and submission of selected practical exercises from 5 modules|
This course will focus on applying the calculus-based techniques learned in Mathematical Background for Biostatistics to the study of probability and statistical distributions. These two courses, together with the subsequent Principles of Statistical Inference course, will provide the core prerequisite mathematical statistics background required for the study of later courses in the Graduate Diploma or Masters degree. This course begins with the study of probability, random variables, discrete and continuous distributions, and the use of calculus to obtain expressions for parameters of these distributions such as the mean and variance. Joint distributions for multiple random variables are introduced together with the important concepts of independence, correlation and covariance, marginal and conditional distributions. Techniques for determining distributions of transformations of random variables are discussed. The concept of the sampling distribution and standard error of an estimator of a parameter is presented, together with key properties of estimators. Large sample results concerning the properties of estimators are presented with emphasis on the central role of the normal distribution in these results. General approaches to obtaining estimators of parameters are introduced. Numerical simulation and graphing with Stata is used throughout to demonstrate concepts.
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.
* This course is not normally offered to international students studying within Australia.
Course OutlineA Course Outline which includes Learning Outcomes, Learning Resources, Learning & Teaching for this course may be accessed here
|Term||Last Day to Add Online||Census Date||Last Day to WNF||Last Day to WF|
|Semester 1||Tue 14/03/2023||Thu 23/03/2023||Fri 05/05/2023||Fri 09/06/2023|
|Enrolment Class: Independent Study|
|16121||01EX||20||18||This class does not have any timetabled face-to-face sessions. Please check MyUni or contact your Course Coordinator for details.|