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STAT444 Topic in Advanced Statistics

Introduction to stochastic processes, emphasizing both theory and application. Topics include Markov chains, Poisson processes, birth and death processes, queues, and stochastic calculus.

Stochastic processes are intrinsic to many real-world problems and also find application in a number of statistical techniques. This paper introduces both the theory of stochastic processes and their use in modelling physical, biological and financial systems.

Paper title Topic in Advanced Statistics
Paper code STAT444
Subject Statistics
EFTS 0.1667
Points 20 points
Teaching period Second Semester
Domestic Tuition Fees (NZD) $1,076.55
International Tuition Fees (NZD) $4,267.52

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Eligibility
Any student interested in techniques that can be used to model many important physical, biological and financial processes.

Enrolments for this paper require departmental permission. View more information about departmental permission.
Contact
maths@otago.ac.nz
Teaching staff
Dr Matthew Parry
Paper Structure
Main topics:
  • Random walks
  • Markov chains
  • Poisson processes
  • Birth and death processes
  • Queues
  • Branching processes
  • Gaussian processes
  • It?? calculus
  • Stochastic differential equations
Teaching Arrangements
Three contact hours per week
Textbooks
Textbooks are not required for this paper.

Useful references:
  • P.W. Jones & P. Smith (2001) Stochastic Processes: An Introduction. Arnold
  • D.R. Cox & H.D. Miller (1965) The theory of stochastic processes. Methuen
  • J. Michael Steele (2001) Stochastic Calculus and Financial Applications. Springer
Course outline
View course outline for STAT 444
Graduate Attributes Emphasised
Critical thinking.
View more information about Otago's graduate attributes.
Learning Outcomes
Students who successfully complete the paper will demonstrate in-depth understanding of the central concepts and theories.

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Timetable

Second Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Other

Introduction to stochastic processes, emphasizing both theory and application. Topics include Markov chains, Poisson processes, birth and death processes, queues, and stochastic calculus.

Stochastic processes are intrinsic to many real-world problems and also find application in a number of statistical techniques. This paper introduces both the theory of stochastic processes and their use in modelling physical, biological and financial systems.

Paper title Topic in Advanced Statistics
Paper code STAT444
Subject Statistics
EFTS 0.1667
Points 20 points
Teaching period Second Semester
Domestic Tuition Fees (NZD) $1,098.05
International Tuition Fees (NZD) $4,352.87

^ Top of page

Eligibility
Any student interested in techniques that can be used to model many important physical, biological and financial processes.

Enrolments for this paper require departmental permission. View more information about departmental permission.
Contact
mparry@maths.otago.ac.nz
Teaching staff
Dr Matthew Parry
Paper Structure
Main topics:
  • Random walks
  • Markov chains
  • Poisson processes
  • Birth and death processes
  • Queues
  • Branching processes
  • Gaussian processes
  • It?? calculus
  • Stochastic differential equations
Teaching Arrangements
Three contact hours per week.
Textbooks
Textbooks are not required for this paper.

Useful references:
  • P.W. Jones & P. Smith (2001) Stochastic Processes: An Introduction. Arnold
  • D.R. Cox & H.D. Miller (1965) The theory of stochastic processes. Methuen
  • J. Michael Steele (2001) Stochastic Calculus and Financial Applications. Springer
Course outline
View course outline for STAT 444
Graduate Attributes Emphasised
Critical thinking.
View more information about Otago's graduate attributes.
Learning Outcomes
Students who successfully complete the paper will demonstrate in-depth understanding of the central concepts and theories.

^ Top of page

Timetable

Second Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Other