TY - INPR A1 - Pra, Paolo Dai A1 - Louis, Pierre-Yves A1 - Minelli, Ida G. T1 - Complete monotone coupling for Markov processes N2 - We formalize and analyze the notions of monotonicity and complete monotonicity for Markov Chains in continuous-time, taking values in a finite partially ordered set. Similarly to what happens in discrete-time, the two notions are not equivalent. However, we show that there are partially ordered sets for which monotonicity and complete monotonicity coincide in continuoustime but not in discrete-time. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2008, 01 KW - Markov processes KW - coupling KW - partial ordering KW - monotonicity conditions KW - monotone random KW - dynamical system representation Y1 - 2008 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-18286 ER -