2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130967We construct empirical Bayes estimators for the reproduction parameter of Borel-Tanner distribution assuming LINEX loss and prove their asymptotic optimality. Some properties of the estimators regret risk are illustrated through simulations.To appear in Journal of Applied Statistical ScienceStatistics Theory62F15, 60J85text