Measuring Tail Operational Risk under Extreme Value Theory

   Department of Statistics and Actuarial Science

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  Dr J Liu  Applications accepted all year round  Funded PhD Project (Students Worldwide)

About the Project

Requirements: The candidate should have a first class or upper second class honours degree, or a master’s degree (or equivalent qualification), in Actuarial Science/Statistics/Applied Math but not limited to, but with a solid mathematical background. Evidence of good spoken and written English is essential. The candidate should have an IELTS score of 6.5 or above, if the first language is not English. This position is open to all qualified candidates irrespective of nationality.

Degree: The student will be awarded a PhD degree from the University of Liverpool (UK) upon successful completion of the program.

Project Description: Operational risk is defined as "the risk of direct or indirect loss resulting from inadequate or failed internal processes, people and systems or from external events'' by Basel Committee on Banking Supervision (BCBS, 2003). This project aims to employ a statistical procedure in analyzing data of financial operational risk in U.S., with a focus in empirical studies on the heavy-tailedness of tail risks, extreme dependence across financial markets, and joint behavior on operational risk under extremes. Based on the outcomes of empirical studies on operational risk data, we model the univariate and multivariate operational risks with its methodology based on capital approximation, within the framework of the Basel II/III regulatory capital accords. Some limit behaviors will be derived for certain distortion risk measures of aggregate operational risks. Based on the asymptotic analysis of tail risks on aggregate operational losses, several simulation experiments will be conducted.

For more information about doctoral scholarship and PhD programme at Xi’an Jiaotong-Liverpool University (XJTLU): Please visit

How to Apply:

Interested applicants are advised to email [Email Address Removed] (XJTLU principal supervisor’s email address) the following documents for initial review and assessment (please put the project title in the subject line).

• CV

• Two reference letters with company/university letterhead

• Personal statement outlining your interest in the position

• Proof of English language proficiency (an IELTS score of 6.5 or above)

• Verified school transcripts in both Chinese and English (for international students, only the English version is required)

• Verified certificates of education qualifications in both Chinese and English (for international students, only the English version is required)

• PDF copy of Master Degree dissertation (or an equivalent writing sample) and examiners reports available

• Any other related documents (e.g., your undergraduate/postgraduate thesis, paper…)

Informal enquiries may be addressed to Professor/Dr. Jiajun.Liu ([Email Address Removed]), whose personal profile is linked below,

Mathematics (25)

Funding Notes

The PhD studentship is available for three years subject to satisfactory progress by the student. The award covers tuition fees for three years (currently equivalent to RMB 80,000 per annum) and provides a monthly stipend of 5,000 RMB as a contribution to living expenses. It also provides up to RMB 16,500 to allow participation at international conferences during the period of the award. It is a condition of the award that holders of XJTLU PhD scholarships carry out 300-500 hours of teaching assistance work per year.
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