- Class Number 8251
- Term Code 3060
- Class Info
- Unit Value 6 units
- Mode of Delivery In Person
- Dr Le Chang
- Dr Le Chang
- Class Dates
- Class Start Date 27/07/2020
- Class End Date 30/10/2020
- Census Date 31/08/2020
- Last Date to Enrol 03/08/2020
An introduction to stochastic processes, which are random processes occurring in time or space.
They are used to model dynamic relationships involving random events in a wide variety of disciplines including the natural and social sciences, and in financial, managerial and actuarial settings.
The course consists of a short review of basic probability concepts and a discussion of conditional probability and conditional expectation, followed by an introduction to the basic concepts and an investigation of the long-run behaviour of Markov chains in discrete time, countable state space. The course also covers some important continuous-time stochastic processes including Poisson processes and other Markov pure jump processes, as well as Brownian motion and other related Gaussian processes as time permits.
Upon successful completion, students will have the knowledge and skills to:
- Describe basic concepts of stochastic processes in discrete time, especially concerning Markov chains, their classifications and long-run behaviour; and
- Demonstrate an understanding of continuous-time stochastic processes, with topics drawn from: Poisson Processes Other Markov pure jump processes Brownian motion Other related Gaussian processes
ANU has a rich history of research in the area of applied probability and stochastic processes. The lecturer and other RSFAS staff members are active researchers in this area, with a keen interest to attract talented students for research projects.
Examination Material or equipment
The structure of the exam and relevant material will be announced in class and on Wattle.
Course materials will be made available on Wattle.
Purchase of textbooks is OPTIONAL. The course material follows selectively:
- Introduction to Probability Models (11th Edition, 2014) by Sheldon Ross, available as ebook through ANU library at http://library.anu.edu.au/record=b3573439.
Other examples of similar texts are (these are both available in the Hancock library and have been requested to be placed in 2 hour reserve):
- Introduction to Stochastic Modelling (4th Edition, 2011) by Mark Pinsky and Samuel Karlin
- Stochastic Processes and Models (2005) by David Stirzaker
Students will be given feedback in the following forms in this course:
- written comments
- verbal comments
- feedback to whole class, groups, individuals, focus groups etc.
ANU is committed to the demonstration of educational excellence and regularly seeks feedback from students. Students are encouraged to offer feedback directly to their Course Convener or through their College and Course representatives (if applicable). The feedback given in these surveys is anonymous and provides the Colleges, University Education Committee and Academic Board with opportunities to recognise excellent teaching, and opportunities for improvement. The Surveys and Evaluation website provides more information on student surveys at ANU and reports on the feedback provided on ANU courses.
|Week/Session||Summary of Activities||Assessment|
|1||Revision on Probability Theory|
|3||Conditional Probability and Conditional Expectation|
|4||Markov Chains 1||Assignment 1 due|
|5||Markov Chains 2|
|6||Markov Chains 3|
|7||The Exponential Distribution and Poisson Process 1||Assignment 2 due|
|8||The Exponential Distribution and Poisson Process 2|
|9||Continuous-time Markov Chains 1|
|10||Continuous-time Markov Chains 2|
|11||Brownian Motion and Stationary Processes 1||Assignment 3 due|
|12||Brownian Motion and Stationary Processes 2|
Tutorial signup for this course will be done via the Wattle website. Detailed information about signup times will be provided on Wattle. When tutorials are available for enrolment, follow these steps:
1. Log on to Wattle, and go to the course site
2. Click on the link “Tutorial enrolment”
3. On the right of the screen, click on the tab “Become Member of…..” for the tutorial class you wish to enter
4. Confirm your choice
If you need to change your enrolment, you will be able to do so by clicking on the tab “Leave group….” and then re-enrol in another group. You will not be able to enrol in groups that have reached their maximum number. Please note that enrolment in ISIS must be finalised for you to have access to Wattle.
|Assessment task||Value||Due Date||Return of assessment||Learning Outcomes|
|Assignment 1||10 %||21/08/2020||04/09/2020||1|
|Assignment 2||10 %||25/09/2020||09/10/2020||1|
|Assignment 3||10 %||23/10/2020||06/11/2020||2|
|Final Examination||70 %||05/11/2020||03/12/2020||1,2|
* If the Due Date and Return of Assessment date are blank, see the Assessment Tab for specific Assessment Task details
ANU has educational policies, procedures and guidelines, which are designed to ensure that staff and students are aware of the University’s academic standards, and implement them. Students are expected to have read the Academic Misconduct Rule before the commencement of their course. Other key policies and guidelines include:
- Student Assessment (Coursework) Policy and Procedure
- Special Assessment Consideration Policy and General Information
- Student Surveys and Evaluations
- Deferred Examinations
- Student Complaint Resolution Policy and Procedure
The ANU is using Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. For additional information regarding Turnitin please visit the Academic Integrity . In rare cases where online submission using Turnitin software is not technically possible; or where not using Turnitin software has been justified by the Course Convener and approved by the Associate Dean (Education) on the basis of the teaching model being employed; students shall submit assessment online via ‘Wattle’ outside of Turnitin, or failing that in hard copy, or through a combination of submission methods as approved by the Associate Dean (Education). The submission method is detailed below.
Moderation of Assessment
Marks that are allocated during Semester are to be considered provisional until formalised by the College examiners meeting at the end of each Semester. If appropriate, some moderation of marks might be applied prior to final results being released.
Centrally scheduled examinations through Examinations, Graduations & Prizes will be timetabled prior to the examination period. Please check ANU Timetabling for further information.
Assessment Task 1
Learning Outcomes: 1
Provide detailed solutions to questions based on materials from Weeks 1 to 3. You may type your answer in a type-setting software or you may hand-write parts of your answers. Please ensure that your handwriting is legible. Assignment 1 is due at 3pm on 21 August 2020. It will be made available at least two weeks before the due date. Assignments will be graded and returned on Wattle via TurnitIn.
Assessment Task 2
Learning Outcomes: 1
Provide detailed solutions to questions based on materials from Weeks 4 to 6. For details, see Assessment Task 1. Assignment 2 is due at 3pm on 25 September 2020. It will be made available at least two weeks before this. Assignments will be graded and returned on Wattle via TurnitIn.
Assessment Task 3
Learning Outcomes: 2
Provide detailed solutions to questions based on materials from Weeks 7 to 10. For details, see Assessment Task 1. Assignment 3 is due at 3pm on 23 October 2020. It will be made available at least two weeks before this. Assignments will be graded and returned on Wattle via TurnitIn.
Assessment Task 4
Learning Outcomes: 1,2
The final assessment will be held in the exam period with details to be advised no later than teaching week 12 of the semester
Academic integrity is a core part of the ANU culture as a community of scholars. At its heart, academic integrity is about behaving ethically, committing to honest and responsible scholarly practice and upholding these values with respect and fairness.
The ANU commits to assisting all members of our community to understand how to engage in academic work in ways that are consistent with, and actively support academic integrity. The ANU expects staff and students to be familiar with the academic integrity principle and Academic Misconduct Rule, uphold high standards of academic integrity and act ethically and honestly, to ensure the quality and value of the qualification that you will graduate with.
The Academic Misconduct Rule is in place to promote academic integrity and manage academic misconduct. Very minor breaches of the academic integrity principle may result in a reduction of marks of up to 10% of the total marks available for the assessment. The ANU offers a number of online and in person services to assist students with their assignments, examinations, and other learning activities. Visit the Academic Skills website for more information about academic integrity, your responsibilities and for assistance with your assignments, writing skills and study.
You will be required to electronically sign a declaration as part of the submission of your assignment. Please keep a copy of the assignment for your records. Unless an exemption has been approved by the Associate Dean (Education) submission must be through Turnitin.
For some forms of assessment (hand written assignments, art works, laboratory notes, etc.) hard copy submission is appropriate when approved by the Associate Dean (Education). Hard copy submissions must utilise the Assignment Cover Sheet. Please keep a copy of tasks completed for your records.
No submission of assignments without an extension after the due date will be permitted. If an assignment is not submitted by the due date, a mark of 0 will be awarded.
Accepted academic practice for referencing sources that you use in presentations can be found via the links on the Wattle site, under the file named “ANU and College Policies, Program Information, Student Support Services and Assessment”. Alternatively, you can seek help through the Students Learning Development website.
Assignments will be graded and returned on Wattle via TurnitIn.
Extensions and Penalties
Extensions and late submission of assessment pieces are covered by the Student Assessment (Coursework) Policy and Procedure. Extensions may be granted for assessment pieces that are not examinations or take-home examinations. If you need an extension, you must request an extension in writing on or before the due date. If you have documented and appropriate medical evidence that demonstrates you were not able to request an extension on or before the due date, you may be able to request it after the due date.
Resubmission of Assignments
No resubmission of assignments is permitted.
Distribution of grades policy
Academic Quality Assurance Committee monitors the performance of students, including attrition, further study and employment rates and grade distribution, and College reports on quality assurance processes for assessment activities, including alignment with national and international disciplinary and interdisciplinary standards, as well as qualification type learning outcomes.
Since first semester 1994, ANU uses a grading scale for all courses. This grading scale is used by all academic areas of the University.
Support for students
The University offers students support through several different services. You may contact the services listed below directly or seek advice from your Course Convener, Student Administrators, or your College and Course representatives (if applicable).
- ANU Health, safety & wellbeing for medical services, counselling, mental health and spiritual support
- ANU Diversity and inclusion for students with a disability or ongoing or chronic illness
- ANU Dean of Students for confidential, impartial advice and help to resolve problems between students and the academic or administrative areas of the University
- ANU Academic Skills and Learning Centre supports you make your own decisions about how you learn and manage your workload.
- ANU Counselling Centre promotes, supports and enhances mental health and wellbeing within the University student community.
- ANUSA supports and represents undergraduate and ANU College students
- PARSA supports and represents postgraduate and research students
Model selection, robust statistics, high-dimensional data analysis, lasso, PCA, spatio-temporal.
Dr Le Chang
Dr Le Chang