Unit of study_

# Probability and Distribution Theory (PDT) - BSTA5023

This unit will focus on applying the calculus-based techniques learned in Mathematical Background for Biostatistics (MBB) to the study of probability and statistical distributions. These two units, together with the subsequent Principles of Statistical Inference (PSI) unit, will provide the core prerequisite mathematical statistics background required for the study of later units in the Graduate Diploma or Masters degree. Content: This unit 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.

Classes
8-12 hours total study time per week, distance learning

Assessment
Two written assignments (each worth 35%) and submission of selected practical written exercises from 5 modules 30%.

Textbooks
Wackerly DD, Mendenhall W, Scheaffer RL. Mathematical Statistics with Applications, 7th edition, 2007, Wadsworth Publishing (ex Duxbury Press, USA)

Pre-requisites

BSTA5001

### Details

Faculty: Medicine and Health

Semester 1

25 Feb 2019

Department/School: Public Health
Study Mode: Distance education
Census Date: 31 Mar 2019
Credit points: 6.0
EFTSL: 0.125
Available for study abroad and exchange: No
Faculty/department permission required? No
Location
Camperdown
Faculty: Medicine and Health

Semester 2

05 Aug 2019

Department/School: Public Health
Study Mode: Distance education
Census Date: 31 Aug 2019
Credit points: 6.0
EFTSL: 0.125
Available for study abroad and exchange: No
Faculty/department permission required? No
Location
Camperdown
More details
Unit of Study coordinator: Associate Professor Patrick Kelly
HECS Band: 2
##### Courses that offer this unit

Non-award/non-degree study If you wish to undertake one or more units of study (subjects) for your own interest but not towards a degree, you may enrol in single units as a non-award student. Cross-institutional study If you are from another Australian tertiary institution you may be permitted to undertake cross-institutional study in one or more units of study at the University of Sydney.

To help you understand common terms that we use at the University, we offer an online glossary.