Inference (Bologna) STATS4068

  • Academic Session: 2023-24
  • School: School of Mathematics and Statistics
  • Credits: 12
  • Level: Level 4 (SCQF level 10)
  • Typically Offered: Semester 1
  • Available to Visiting Students: No

Short Description

The course provides the basic theory of likelihood based statistical inference.


Requirements of Entry

This course is only available to students on the Double Degree programme in Statistics with the University of Bologna.

Excluded Courses

Statistics 3I: Inference [STATS3015]

Inference 3 [STATS4012]
Statistical Inference (Level M) [STATS5028]




End-of-course examination (100%), carried out in accordance with the assessment procedures and regulations of the University of Bologna.

Main Assessment In: December

Are reassessment opportunities available for all summative assessments? Not applicable for Honours courses

Reassessments are normally available for all courses, except those which contribute to the Honours classification. For non-Honours courses, students are offered reassessment in all or any of the components of assessment if the satisfactory (threshold) grade for the overall course is not achieved at the first attempt. This is normally grade D3 for undergraduate students and grade C3 for postgraduate students. Exceptionally it may not be possible to offer reassessment of some coursework items, in which case the mark achieved at the first attempt will be counted towards the final course grade. Any such exceptions for this course are described below. 

Course Aims

This course aims 

■ to help students develop a deep understanding of the concept of likelihood;

■ to train students in deriving maximum-likelihood estimates as well as the associated interval estimate; and

■ to expose students to the Neyman and Pearson approach to statistical testing.

Intended Learning Outcomes of Course

By the end of the course students will be able to:

■ derive the maximum likelihood estimators and their properties;

■ derive likelihood-based interval estimates;

■ test statistical hypotheses according to the Neyman and Pearson approach;

■ build statistical tests using the GLR criterion.

Minimum Requirement for Award of Credits

Students must submit at least 75% by weight of the components (including examinations) of the course's summative assessment.