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Probability and Distribution Theory (POPH90148)

Graduate courseworkPoints: 12.5Online

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Year of offer2019
Subject levelGraduate coursework
Subject codePOPH90148
Semester 1 - Online
Semester 2 - Online
FeesSubject EFTSL, Level, Discipline & Census Date

This subject 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, and 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 are used throughout to demonstrate key concepts.

Intended learning outcomes

This subject will focus on applying the calculus-based techniques learned in POPH90015 Mathematical Background for Biostatistics (MBB). These two subjects, together with the subsequent POPH90017 Principles of Statistical Inference (PSI) unit, provide the core prerequisite mathematical statistics background required for the study of later units in the Postgraduate Diploma or Masters degree.

Generic skills

Independent problem solving, facility with abstract reasoning, clarity of written expression, sound communication of technical concepts.

Last updated: 24 August 2019