2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145892A transformation of gamma max-infinitely divisible laws viz. geometric gamma max-infinitely divisible laws is considered in this paper. Some of its distributional and divisibility properties are discussed and a random time changed extremal process corresponding to this distribution is presented. A new kind of invariance (stability) under geometric maxima is proved and a max-AR(1) model corresponding to it is also discussed.6 PagesProbabilityStatistics Theory60E05, 60F05, 60G70, 62M10text