%0 Journal Article
%A Fenoy Muñoz, María Del Mar
%A Ibarrola Muñoz, Pilar
%T The optional sampling theorem for submartingales in the sequentially planned context.
%D 2007
%@ 0167-7152
%U https://hdl.handle.net/20.500.14352/49886
%X The optional sampling theorem is considered in the sequentially planned context. We prove the optional sampling theorem for direct successors and for sampling plans with a finite number of stages. Also, the theorem is studied in the general case under a uniform integrability condition; we obtain it for submartingales with a last element, and for submartingales that verify a bounded condition based on uniform integrability.
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