Probability and Distribution Theory
BSTA5023
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.
Unit of study details
Unit of study level: Postgraduate
Credit points: 6
Commencing semesters: 1, 2
Further unit of study information
Unit of study handbook: BSTA5023
Costs and scholarships information: Costs and Scholarships
Final dates to withdraw from units of study: Census Dates
Available for study abroad and exchange: No