RT Journal Article T1 The optional sampling theorem for submartingales in the sequentially planned context. A1 Fenoy Muñoz, María Del Mar A1 Ibarrola Muñoz, Pilar AB 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. PB Elsevier SN 0167-7152 YR 2007 FD 2007 LK https://hdl.handle.net/20.500.14352/49886 UL https://hdl.handle.net/20.500.14352/49886 LA eng NO Fenoy 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. DS Docta Complutense RD 16 abr 2025