Mathematical Statistics: Quantitative Risk Management using Copulas
Course · 7.5 credits
Advanced dependence modelling in multivariate data analysis is an important and challenging subject with important applications in finance, environmental studies and insurance. This course provides an introduction to parameter mixture distributions, conditional independence and asymptotic models used to construct multivariate models in higher dimensions, along with a discussion of why there is a need to separate the dependence structure from the marginal distributions.
The course has three main objectives:
1. To discuss fundamental and flexible methods for modern dependence
modelling with copulas and to demonstrate how the theory can be used in
real life applications.
2. To cover the probability theory of multivariate extreme value theory
and show how this can be seen as a special case of point 1 above.
3. To give an introduction to programming in R, with a focus on specialized libraries for
using copulas and analysing multivariate extreme value data.
Closed for applicationsApplication opportunities
Requirements and selection
For admission to the course English 6/B and knowledge equivalent to 90 ECTS credits within the subjects of mathematics or mathematical statistics is required. 7,5 ECTS credits must be on an advanced level, the remaining 82.5 ECTS credits may be on a basic or advanced level. Among these 90 ECTS credits knowledge equivalent to MASM15, Mathematical Statistics: Statistical Modelling of Extreme Values, 7.5 credits is required.
Seats are allocated according to: Previous college/university studies (APAV): 100 %.
English language requirements
Most of Lund University’s programmes require English Level 6 (unless otherwise stated under 'Entry requirements'). This is the equivalent of an overall IELTS score of 6.5 or a TOEFL score of 90. There are several ways to prove your English language proficiency – check which proof is accepted at the University Admissions in Sweden website. All students must prove they meet English language requirements by the deadline, in order to be considered for admission.
Check if there are any country-specific eligibility rules for you to study Master's studies or Bachelor's studies in Sweden.
How to apply
Lund University uses a national application system run by University Admissions in Sweden. It is only possible to apply during the application periods.
Step 1: Apply online
- Check that you meet the entry requirements of the programme or course you are interested in (refer to the section above on this webpage).
- Start your application – go to the University Admissions in Sweden website where you create an account and select programmes/courses during the application period.
Visit the University Admissions in Sweden website
- Rank your programme/course choices in order of preference and submit them before the application deadline.
Step 2: Submit documents
- Read about how to document your eligibility and how to submit your documents at the University Admissions in Sweden website. Follow any country-specific document rules for Master's studies or Bachelor's studies
Country-specific requirements for Bachelor's studies – universityadmissions.se
Country-specific requirements for Master's studies – universityadmissions.se
- Get all your documents ready:
- official transcripts and high school diploma (Bachelor's applicants)
- official transcripts and degree certificate or proof of expected graduation (Master's applicants)
- passport/ID (all applicants) and
- proof of English proficiency (all applicants).
- Prepare programme-specific documents if stated in the next paragraph on this webpage.
- Upload or send all required documents to University Admissions before the document deadline.
- Pay the application fee (if applicable – refer to the section below on this webpage) before the document deadline.
* Note that the process is different if you are applying as an exchange student or as a part of a cooperation programme (such as Erasmus+).
* If you have studied your entire Bachelor's programme in Sweden and all of your academic credits are in Ladok, you do not have to submit transcripts or your diploma when applying for a Master's programme. However, there may still be other documents you need to submit! See the link below.
* Svensk student?
Läs instruktionerna om att söka till ett internationellt masterprogram på lu.se
Full programme/course tuition fee: SEK 18 125
First payment: SEK 18 125
Citizens of a country outside of the European Union (EU), the European Economic Area (EEA) and Switzerland are required to pay tuition fees. You pay one instalment of the tuition fee in advance of each semester.
EU/EEA citizens and Switzerland
There are no tuition fees for citizens of the European Union (EU), the European Economic Area (EEA) and Switzerland.
If you are required to pay tuition fees, you are generally also required to pay an application fee of SEK 900 (approximately EUR 100) when you apply at the University Admissions in Sweden website. You pay one application fee regardless of how many programmes or courses you apply to.
*Note that there are no tuition or application fees for exchange students or PhD students, regardless of their nationality.
Scholarships & funding
Lund University Global Scholarship programme
The Lund University Global Scholarship programme is a merit-based and selective scholarship targeted at top academic students from countries outside the EU/EEA.
Swedish Institute Scholarships
The Swedish Institute offers scholarships to international students applying for studies in Sweden at Bachelor's, Master's, PhD and post-doctoral levels.
Country-specific scholarships and funding options
Lund University has agreements with scholarship organisations and funding bodies in different countries, which may allow applicants to apply for funding or scholarships in their home countries for their studies at Lund University.
- Scholarships/funding for students from Indonesia, Mexico, Colombia, Russia and Chile, among other countries
- US student finance
- Canada student finance