2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130675In this note we identify the class of distributions for {Xn} that can generate a linear, additive, first order auto-regressive scheme that is marginally stationary as semi-selfdecomposable laws. We give a method to construct these distributions. Its implications in subordination and selfdecomposability of Levy processes are given. The discrete analogues of these processes are also discussed.Revised, as in the journal formatProbabilityStatistics Theory60 E 07; 60 G 10; 60 G 18; 60 G 51; 60 G 52; 62 E 10; 62 M 10text