The unit develops foundation skills for the analysis of real-life systems with elements of uncertainty, useful for careers in the Physical and Biological Sciences, Operations Research, Statistics, Engineering, Computer Science, Finance and Economics. The unit covers major topics from Probability Theory, with the focus on developing in-depth knowledge from both theoretical and modelling points of view. Topics: Axiomatic probability theory: sample space, event, probabilities on events, independent events, Bayes' formula; Random variable, probability distribution, expectation, conditional probability; Distribution functions: discrete, continuous; joint distribution; probability generating function; Laplace transform; moment generating function; limit theorems. Stochastic Processes: Bernoulli process; Poisson process; discrete-time Markov Chains: Chapman-Kolmogorov equations, classification of states, recurrence, limiting probabilities; continuous-time Markov Chains: Kolmogorov differential equations, embedded chains, equilibrium distributions. Students will use MATLAB for the numerical experimentation. This unit is within the major: Statistics and Decision Science (Bachelor of Science).
|Probability Models 3
|College of Sciences and Engineering
School of Natural Sciences
|Associate Professor Malgorzata O'Reilly
|Available as an elective?
|University of Tasmania
- International students
- Domestic students
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- Construct probability models for a range of real-world situations.
- Apply analytical techniques from probability theory and models to analyse abstract and real-world problems.
- Use mathematical language and notation to communicate probability theory and stochastic models to peers.
- State and use formal definitions and properties of structures within axiomatic theory of probability in a rigorous manner.
|Field of Education
|Commencing Student Contribution 1,3
|Grandfathered Student Contribution 1,3
|Approved Pathway Course Student Contribution 2,3
|Domestic Full Fee 4
1 Please refer to more information on student contribution amounts.
2 Please refer to more information on eligibility and Approved Pathway courses.
3 Please refer to more information on eligibility for HECS-HELP.
4 Please refer to more information on eligibility for FEE-HELP.
Please note: international students should refer to What is an indicative Fee? to get an indicative course cost.
PrerequisitesAny intermediate level (200 coded) KMA unit
3 x 1-hr lectures, 1 x 1-hr tutorial , 1 x 1-hr lab weekly
|Demonstration (10%)|Examination (40%)|Assignment (multiple) (50%)
|View the lecture timetable | View the full unit timetable
Required readings will be listed in the unit outline prior to the start of classes.
• S. M. Ross, Introduction to Probability Models
|Booktopia textbook finder
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