Some infinite dimensional topics in probability and statistics

This thesis comprises two independent parts. In the first part, we develop a pathwise calculus for functionals of integer-valued measures and extend the framework of Functional Itô Calculus to functionals of integer-valued random measures by constructing a ’stochastic derivative’ operator with respe...

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Bibliographic Details
Main Author: Blacque-Florentin, Pierre
Other Authors: Bingham, Nicholas
Published: Imperial College London 2016
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.702819