STAT360 Theoretical Statistics
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Showing course contents for the educational year starting in 2014 .
Course responsible: Ellen Sandberg
Teachers: Solve Sæbø, Trygve Erik Almøy
ECTS credits: 10
Faculty: Department of Chemistry, Biotechnology and Food Science
Teaching language: EN, NO
Limits of class size:
Minimum 5, amximum 100
Teaching exam periods:
This course starts in Autumn parallel. This course has teaching/evaluation in Autumn parallel, .
Course frequency: The course is dependent on available resources and requires in principle at least 5 students. However, if the course is compulsory for some students it might be given after all.
First time: 2007H
Fisher information. Cramer-Raos inequality. The most important asymptotic results in estimation theory. Sufficience. Bayesian statistics. Linear models treated generally with matrix formulation. Specialisation to regression analysis, variance analysis and covariance analysis. Estimation and hypothetis testing in linear models. Estimability. Optimality in connection with linear models. Multi-variable distributions from a matrix formulation. Theory on model reduction, prediction and classification.
The students will acquire a basic theoretical understanding of the most important classes of mathematical-statistical models used for instance when analysing biological data, and for the statistical methods developed in connection with such models. They should be able to see connections for exponential distribution classes in general and for linear models especially. They should also understand why and when a model reduction produces better result. The students will also be able to present subject-relevant material both orally and written.
Lectures, self-study, calculation exercises, project work. The project should be written in a correctly scientific language.
The teacher will be available in office hours, also on e-mail.
Handed out at the first lecture.
STAT100 or similar, MATH130 or similar.
STAT200 or STAT300, STAT210 or STAT310 (or similar courses).
Written exam, 3,5 hours, counts 100 %.
Lectures: 50 hours.
Colloquia: 30 hours.
Self-study: 220 hours.
Special requirements in Science
Type of course:
4 hours per week. Mainly lectures, but also some calculation exercises.
An external examiner controls and approves the examination assignment and grades the examination papers together with the lecturer.
Allowed examination aids: All types of calculators, all other aids.
Examination details: One written test: A - E / Ikke bestått