Probability II (Bologna) STATS3024
- Academic Session: 2026-27
- School: School of Mathematics and Statistics
- Credits: 12
- Level: Level 3 (SCQF level 9)
- Typically Offered: Semester 1
- Available to Visiting Students: No
- Collaborative Online International Learning: No
- Curriculum For Life: No
Short Description
The course provides a rigorous treatment of the theory of multidimensional random variables and sequences of random variables.
Timetable
Timetable information is available from the University of Bologna.
http://corsi.unibo.it/1Cycle/StatisticalSciences/Pages/course-timetable.aspx?CodiceCorso=8873&Indirizzo=A32&AnnoCorso=2
Requirements of Entry
This course is only available to students on the Double Degree programme in Statistics with the University of Bologna.
Excluded Courses
-/-
Co-requisites
-/-
Assessment
End-of-course examination, carried out in accordance with the assessment procedures and regulations of the University of Bologna.
Main Assessment In: December
Course Aims
This course aims
■ to help students develop a thorough understanding of the theory underpinning multivariate random variables;
■ to expose students to the multivariate normal distribution; and
■ to expose students to the theory of different types of convergence of sequences of random variables.
Intended Learning Outcomes of Course
By the end of the course students will be able to:
■ derive the distribution of transformed random variables;
■ derive joint, conditional and marginal probability density functions;
■ state the definition and recall the properties of multivariate normal distributions; and
■ investigate convergence properties of sequences of random variables.