Applications are invited for our EPSRC funded Doctoral Training Partnership (DTP) PhD studentships that will support six (6) research projects starting 1 October 2022. One of these projects is “Reliable profile likelihood ratio tests for statistical models” led by Dr Man Lai Tang in the Department of Mathematics
Although traditional likelihood ratio tests enjoy the Wilks theorem, which states that their asymptotic null distributions belong to the famous c2 (chi-square) family functions and are independent of nuisance parameters, they assume that the common density function of the error terms is known (e.g., normal distribution), which is, unfortunately, seldom satisfied in practical applications. In this project, applicant will develop profile-likelihood-ratio type tests, which do not require the specification of the underlying error term distributions, for multiple regression models and longitudinal data models.
You should have strong mathematics/statistics background with programming experience (e.g., in R). You should be a highly motivated individual and possess a strong sense of curiosity. The ability to study independently, think critically and collaborate with others is essential.
How to Apply
Email the documents below as a single PDF file to [Email Address Removed] by 16:00 on Friday 3 June 2022. Please state the name of the project supervisor in your email.
· Your up-to-date CV;
· Your 300-word personal statement setting out why you are suitable for this position;
· Your Undergraduate/Postgraduate Masters degree certificate(s) and transcript(s);
· Your English Language qualification of IELTS 6.5 overall or equivalent, if applicable;
· Two references, one of which can be provided by a member of Brunel University academic staff.
Interviews will take place in June 2022.