2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130707Methods of construction of Max-semi-selfdecompsable laws are given. Implications of this method in random time changed extremal processes are discussed. Max-autoregressive model is introduced and characterized using the max-semi-selfdecompsable laws and exponential max-semi-stable laws. Max-semi-selfddecomposability of max-semi-stable laws are proved.contents in section.4 changed, references updatedProbabilityStatistics Theory60 E 07, 60 G 18, 60 G 70, 62 E 10, 62 M 10text