The course aims to provide students with some theoretical background and mathematical tools in theoretical statistics to access the literature on biostatistics methodologies and applications. Topics covered include: efficiency of estimators; efficiency of tests; empirical processes; functional delta method; quantile and order statistics; L-statistics; bootstrap; high-dimensional models, gradient descent optimization. Selected topics such as empirical likelihood, U-statistics, counting process methods in survival analysis, functional data analysis, nonparametric estimation, shape-constrained inference, and semiparametric inference and efficiency will also be included.

Continuous Assessment: 60%

Examination: 40%

Examination Duration: 3 hours