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In this paper, we develop a statistical resource allocation scheme to mitigate the aggregated co-tier, cross-tier, and cross-link interference in ultra-dense heterogenous networks (HetNets). By statistically and cognitively characterizing the aggregated interference instead of instantaneous interference information exchange, our scheme allocates resources of power and channels to each femtocell distributively taking the impact on the macrocells into consideration. Simulation results show that the femtocell throughput is improved while reducing the macrocell throughput reduction simultaneously.