STAT213-21S2 (C) Semester Two 2021

Statistical Inference

15 points

Details:
Start Date: Monday, 19 July 2021
End Date: Sunday, 14 November 2021
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 1 August 2021
  • Without academic penalty (including no fee refund): Friday, 1 October 2021

Description

This course provides the theoretical foundations for statistical estimation and testing at an introductory level. These are essential for more advanced studies in statistics at higher levels because they facilitate a deeper understanding of statistical techniques and their applications.

To illuminate key ideas in estimation and testing, the course will focus mainly on inference for independent and identically distributed univariate data.

Topics that are usually covered include:
• Fundamentals of probabilistic modelling: Probabilities, distribution functions, densities, expectations, quantiles
• Expected values, Moment-generating functions
• Likelihood function, Maximum likelihood principle, Score function, Fisher Information
• Sufficient statistics
• Estimation: Method of Moments, Maximum likelihood estimation
• Properties of estimators: Unbiasedness, Efficiency, Consistency
• Sampling distributions, the Law of large numbers, Central limit theorem
• Interval estimation

Learning Outcomes

  • On completion of the course, you will be able to:
  • Apply various discrete and continuous univariate probability distributions in modelling statistical processes.
  • Understand the concept of sampling distributions and how to apply them.
  • Estimate unknown parameters of a given probability distribution using standard estimation techniques.

Pre-requisites

15 points from MATH102, EMTH118 or
MATH199; and another 15 points from 100 level STAT, MATH or
EMTH (excluding MATH101 & MATH110)

Restrictions

STAT214

Timetable 2021

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Thursday 11:00 - 12:00 Rehua 101 Lectorial 19 Jul - 29 Aug
13 Sep - 24 Oct
Lecture B
Activity Day Time Location Weeks
01 Friday 14:00 - 15:00 Rehua 101 Lectorial 19 Jul - 29 Aug
13 Sep - 24 Oct
Lecture C
Activity Day Time Location Weeks
01 Tuesday 09:00 - 10:00 Rehua 002 Lectorial 19 Jul - 29 Aug
13 Sep - 24 Oct
Tutorial A
Activity Day Time Location Weeks
01 Monday 12:00 - 13:00 James Logie 105 26 Jul - 29 Aug
13 Sep - 24 Oct
02 Tuesday 10:00 - 11:00 Psychology - Sociology 307 26 Jul - 29 Aug
13 Sep - 24 Oct
03 Wednesday 10:00 - 11:00 Meremere 409 26 Jul - 29 Aug
13 Sep - 24 Oct

Course Coordinator / Lecturer

Daniel Gerhard

Lecturer

Gabor Erdelyi

Textbooks / Resources

Course materials will be provided and no textbook is needed. After enrolling in the course, you will be able to access materials from the course web page in Learn at: http://www.learn.canterbury.ac.nz/

Indicative Fees

Domestic fee $788.00

International fee $4,438.00

* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.

For further information see Mathematics and Statistics.

All STAT213 Occurrences

  • STAT213-21S2 (C) Semester Two 2021