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Integrated Wishart bridges and their applications
(2018)This thesis focuses on the study of Wishart processes, which can be considered as the matrixvalued squareroot processes. In mathematical finance, the squareroot processes find applications in interest rates modelling ... 
Coset construction for the N=2 and osp(12) minimal models
(2019)The thesis presents the study of the N=2 and osp(12) minimal models at admissible levels using the method of coset constructions. These sophisticated minimal models are rich in mathematical structure and come with various ... 
Sparse composite likelihood approaches for high dimensional data
(2019)The idea of the likelihood function, which plays an important role in the his tory of statistics, has been widely used in many areas in parametric statistics. Composite likelihood approaches are useful tools to make ...