
 Credits: 7.5hp/7.5 ECTS
credits.

Requirements: Mathematical Statistics, basic course. Note that the course on probability theory is NOT required; see also the department's home page here for course requirements.

Time period: Study period 4.
 Course Description:
Extreme value theory concerns mathematical
modelling of extreme events. Recent developments have introduced
very flexible and theoretically well motivated semiparametric
models for extreme values which now are at the stage where they can
be used to address important technological problems on handling
risks in areas such as wind engineering, hydrology, flood monitoring
and prediction, climatic changes, structural reliability, corrosion
modelling, and large insurance claims or large fluctuations in
financial data (volatility). In many applications of extremevalue
theory, predictive inference for unobserved events is the main
interest. One wishes to make inference about events over a time
period much longer than that for which data are available. For
example, insurance companies are interested in the maximum amount of
claims due to storm damage during, say, the next 30 years, based on
data from the past 1015 years. In bridge design a major factor is
the maximum wind speed that can occur in any direction during the
life of the bridge. However, the dataset used to estimate a return
value for high wind speeds is often recorded over a much shorter
time period than the expected lifetime of the bridge.
Statistical modelling of extreme events has been subject of much
practical and theoretical work in the last few years. The course
will give an overview of a
number of different topics in modern extreme value thoery including
the following topics:
 Statistical methods for extremal events,
 Some examples of application of the theory in large
insurance claims due to windstorms, flood monitoring and pit corrosion,
 Exercises on detailed ``stepbystep'' use of extreme
value modelling, and
 Discussion of some open problems in the field.
 Course
syllabus:
English
,Swedish
 Teacher:
Nader Tajvidi, tfn 046/2229612, email
nader@maths.lth.se

Language: The course will be given in English.
 Computer assignments: There are three mandatory computer
laboratory sessions in the course. Each computer assignment has
two groups according to
the
course schedule and you need to register in one group for
each computer session
at SAM
lab enroll.
In order to sign up
for a group you will need your 'STIL'account so make sure
you have uptodate information on your account before the
registration. Please note that if you need to change the group
which you are registered in you have to contact the course
secretary Maria Lövgren and ask her to change your group.

Exams : Please
check upcoming
exams in the Centre for Mathematical Sciences or Lund University's
exam schedule
TimeEdit
for scheduled exams. For information on advanced registration for retake exams
see this page.

Allowed aids in the exam:
 Collection of formulas and tables pdf, ps and Appendix 2 on ``Some distributions and their
characteristics".
 Copy of Chapter 4 entitled ``Order Statistics'' from A. Gut (1995) An Intermediate Course in Probability Theory,
SpringerVerlag, New York.
 Calculator.
 Dictionaries for translation.