Cassese, Gianluca della Svizzera italiana, Svizzera 2009-11-19 We consider quasi-martingales indexed by a linearly order set. We show that such processes are isomorphic to a given class of (finitely additive) measures. From this result we easily derive the classical theorem of Stricker as well as the decompositions of Riesz, Rao and the supermartingale decomposition of Doob and Meyer. application/pdf https://n2t.net/ark:/12658/srd1318213 https://susi.usi.ch/global/documents/318213 https://susi.usi.ch/documents/318213/files/cassese_SPL_2010.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1016/j.spl.2009.11.019 info:eu-repo/semantics/altIdentifier/ark/12658/srd1318213 info:eu-repo/semantics/openAccess License undefined Statistics & probability letters. - Elsevier. - 2010, vol. 80, no. 5-6, p. 421-426 Doob Meyer decomposition natural increasing process potential quasi-potential Rao decomposition, Riesz decomposition info:eu-repo/classification/udc/33 Quasimartingales with a linearly ordered index set http://purl.org/coar/resource_type/c_6501