Statistical Inference

Victoria University of Wellington

Course Description

  • Course Name

    Statistical Inference

  • Host University

    Victoria University of Wellington

  • Location

    Wellington, New Zealand

  • Area of Study

    Mathematics, Statistics

  • Language Level

    Taught In English

  • Prerequisites

    MATH 243, MATH 277

  • Course Level Recommendations

    Upper

    ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

    Hours & Credits

  • Credit Points

    15
  • Recommended U.S. Semester Credits
    3 - 4
  • Recommended U.S. Quarter Units
    4 - 6
  • Overview

    This course covers distribution theory; estimation including minimum variance unbiased estimators and sufficiency; statistical inference and hypothesis testing. The topics of estimation and hypothesis testing met in MATH 277 will be looked at in greater depth. Optimal estimation procedures and tests will be developed.

    Course content
    In-depth cover of classical statistical inference procedures in estimation and hypothesis testing. Topics include: limit theorems; theory of parametric estimation; sufficiency and efficiency; uniformly most powerful tests and likelihood ratio tests; nonparametric and robust methods. Notions of linear regression, decision theory and Bayesian inference. 

    Course learning objectives
    Students who pass this course will be able to:

    • Understand and be able to apply the fundamental ideas of mathematical statistics
    • Be able to use sample data to find the “best” estimator of a population parameter in a particular situation
    • Test the validity of claims about population parameters (e.g. using a pivotal function of relevant sample statistics)

Course Disclaimer

Courses and course hours of instruction are subject to change.

Eligibility for courses may be subject to a placement exam and/or pre-requisites.

Some courses may require additional fees.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.

Please reference fall and spring course lists as not all courses are taught during both semesters.

Availability of courses is based on enrollment numbers. All students should seek pre-approval for alternate courses in the event of last minute class cancellations

Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.