STAT3061 Random Processes and their Applications

Credit
6 points
Offering
(see Timetable)
AvailabilityLocationMode
Semester 1UWA (Perth)Face to face
Details for undergraduate courses
  • Level 3 option in the Mathematics and Statistics major sequence
  • The area of knowledge for this unit is Mathematical and Physical Sciences
  • Category A broadening unit for Bachelor of Science students where relevant according to the broadening requirements for each student
  • Level 3 elective
Content
This unit introduces basic notions and applications of random processes, i.e. randomly evolving dynamical systems which exhibit dependencies over time. The core material focuses on the simplest and most important class of such processes, namely, Markov-dependent processes which occupy discrete states and evolve in discrete or continuous time. Fundamental concepts and properties are introduced and explained (rather than proved). This unit emphasises modelling and numerical computation.
Outcomes
Students are able to (1) apply statistical reasoning to analyse the essential structure of problems involving random processes; (2) extend their knowledge of mathematical and statistical techniques and adapt known solutions to different situations; (3) communicate effectively with others; (4) present mathematical results in a logical and coherent fashion; (5) undertake continuous learning, aware that an understanding of fundamentals is necessary for effective application; and (6) use symbolic mathematics applications to compute numerical attributes of specific Markov chain/process models.
Assessment
Indicative assessments in this unit are as follows: (1) assignments; (2) tests; and (3) final examination. Further information is available in the unit outline.

Supplementary assessment is not available in this unit except in the case of a bachelor's pass degree student who has obtained a mark of 45 to 49 overall and is currently enrolled in this unit, and it is the only remaining unit that the student must pass in order to complete their course.
Unit Coordinator(s)
Professor Tony Pakes
Unit rules
Prerequisites:
STAT2061 Probability and Mathematical Statistics
or
STAT2062 Fundamentals of Probability with Applications
Contact hours
lectures: 5 hours per fortnight; labs: 2 hours per fortnight
Unit Outline
Semester 1_2019 [SEM-1_2019]
  • The availability of units in Semester 1, 2, etc. was correct at the time of publication but may be subject to change.
  • All students are responsible for identifying when they need assistance to improve their academic learning, research, English language and numeracy skills; seeking out the services and resources available to help them; and applying what they learn. Students are encouraged to register for free online support through GETSmart; to help themselves to the extensive range of resources on UWA's STUDYSmarter website; and to participate in WRITESmart and (ma+hs)Smart drop-ins and workshops.
  • Books and other material wherever listed may be subject to change. Book lists relating to 'Preliminary reading', 'Recommended reading' and 'Textbooks' are, in most cases, available at the University Co-operative Bookshop (from early January) and appropriate administrative offices for students to consult. Where texts are listed in the unit description above, an asterisk (*) indicates that the book is available in paperback.