University Course Planner The University of Adelaide Australia

BIOSTATS 6003EX - Probability and Distribution Theory

Career: Postgraduate Coursework
Units: 3
Term: 4010
Campus: External
Contact: Online
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
Pre-Requisite: BIOSTATS 6001EX
Incompatible: BIOSTATS 6019EX
Assessment: Two major assignments and submission of selected practical exercises from 5 modules
Syllabus:

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.

Course Fees

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Commonwealth supported
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Study Level

Undergraduate
Postgraduate Coursework
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Program of Study

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Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information.

The fees displayed below for international students are for students commencing a program in 2024 only. International students who commenced a program in 2023 or prior can find their fee here.

Units
EFTSL
Amount
3
0.125
          
  

* This course is not normally offered to international students studying within Australia.


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
4010 Mon 16/03/2020 Thu 26/03/2020 Fri 12/06/2020 Not Available


Class Details

Enrolment Class: Independent Study
Class Nbr Section Size Available Dates Days Time Location
15696 01EX 20 14 This class does not have any timetabled face-to-face sessions. Please check MyUni or contact your Course Coordinator for details.