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Probability for Inference (MAST30020)
Undergraduate level 3Points: 12.5Dual-Delivery (Parkville)
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About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Semester 1
Email: borovkov@unimelb.edu.au
Overview
Availability | Semester 1 - Dual-Delivery |
---|---|
Fees | Look up fees |
This subject introduces a measured-theoretic approach to probability theory and presents its fundamentals concepts and results.
Topics covered include: probability spaces and random variables, expectation, conditional expectation and distributions, elements of multivariate distribution theory, modes of convergence in probabilty theory, characteristics functions and their application in key limit theorems.
Intended learning outcomes
On completion of this subject, students should be able to:
- Formulate the fundamentals of modern probability theory;
- Interpret univariate and multivariate probability distributions;
- Construct general conditional expectations;
- Describe and compare different modes of convergence of random variables and distributions;
- Evaluate different approaches to proving basic limit theorems of probability theory and their uses in statistical applications.
Generic skills
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:
- problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies;
- analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis;
- collaborative skills: the ability to work in a team;
- time-management skills: the ability to meet regular deadlines while balancing competing commitments.
Last updated: 15 February 2024
Eligibility and requirements
Prerequisites
One of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10009 | Accelerated Mathematics 2 | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST20026 | Real Analysis |
Semester 2 (Dual-Delivery - Parkville)
Semester 1 (Dual-Delivery - Parkville)
|
12.5 |
MAST20033 | Real Analysis: Advanced | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
AND
One of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST20004 | Probability |
Semester 1 (Dual-Delivery - Parkville)
Semester 2 (Dual-Delivery - Parkville)
|
12.5 |
MAST20006 | Probability for Statistics | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
(MAST20006 must have a result grade of H2B or above)
Corequisites
None
Non-allowed subjects
None
Inherent requirements (core participation requirements)
The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.
Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home
Last updated: 15 February 2024
Assessment
Description | Timing | Percentage |
---|---|---|
Ten written assignments due at weekly intervals (amounting to a total of up to 40 pages)
| During the teaching period | 15% |
A written test
| Mid semester | 15% |
A written examination
| During the examination period | 70% |
Last updated: 15 February 2024
Dates & times
- Semester 1
Principal coordinator Konstantin Borovkov Mode of delivery Dual-Delivery (Parkville) Contact hours 3 x one hour lectures per week, 1 x one hour practice class per week Total time commitment 170 hours Teaching period 28 February 2022 to 29 May 2022 Last self-enrol date 11 March 2022 Census date 31 March 2022 Last date to withdraw without fail 6 May 2022 Assessment period ends 24 June 2022 Semester 1 contact information
Email: borovkov@unimelb.edu.au
Time commitment details
Estimated total time commitment of 170 hours
Last updated: 15 February 2024
Further information
- Texts
Prescribed texts
None
Recommended texts and other resources
A.F. Karr, Probability, 1st Ed. Springer, New York, 1993.
- Subject notes
This subject is available for science credit to students enrolled in the BSc (both pre-2008 and new degrees), BASc or a combined BSc course.
This subject was previously titled MAST30020 Probability and Statistical Inference
- Related Handbook entries
This subject contributes to the following:
Type Name Informal specialisation Science Discipline subjects - new generation B-SCI Informal specialisation Statistics / Stochastic Processes Informal specialisation Statistics / Stochastic Processes Informal specialisation Statistics / Stochastic Processes specialisation Major Statistics / Stochastic Processes - Breadth options
This subject is available as breadth in the following courses:
- Bachelor of Commerce
- Bachelor of Environments
- Bachelor of Fine Arts (Acting)
- Bachelor of Fine Arts (Animation)
- Bachelor of Fine Arts (Dance)
- Bachelor of Fine Arts (Film and Television)
- Bachelor of Fine Arts (Music Theatre)
- Bachelor of Fine Arts (Production)
- Bachelor of Fine Arts (Screenwriting)
- Bachelor of Fine Arts (Theatre)
- Bachelor of Fine Arts (Visual Art)
- Bachelor of Music
- Available through the Community Access Program
About the Community Access Program (CAP)
This subject is available through the Community Access Program (also called Single Subject Studies) which allows you to enrol in single subjects offered by the University of Melbourne, without the commitment required to complete a whole degree.
Entry requirements including prerequisites may apply. Please refer to the CAP applications page for further information.
- Available to Study Abroad and/or Study Exchange Students
This subject is available to students studying at the University from eligible overseas institutions on exchange and study abroad. Students are required to satisfy any listed requirements, such as pre- and co-requisites, for enrolment in the subject.
Last updated: 15 February 2024