Fenoy Muñoz, María Del MarIbarrola Muñoz, Pilar2023-06-202023-06-202007Fenoy Muñoz, M. M. & Ibarrola Muñoz, P. «The Optional Sampling Theorem for Submartingales in the Sequentially Planned Context». Statistics & Probability Letters, vol. 77, n.o 8, abril de 2007, pp. 826-31. DOI.org (Crossref), https://doi.org/10.1016/j.spl.2006.12.002.0167-715210.1016/j.spl.2006.12.002https://hdl.handle.net/20.500.14352/49886The 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.engjournal articlehttps//doi.org/10.1016/j.spl.2006.12.002http://www.sciencedirect.com/science/journal/01677152restricted access519.21Sampling planSequentially plannedOptional samplingProbabilidades (Matemáticas)