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To accommodate a large number of users requiring higher data rates and improved outage performance, a heterogeneous cellular network (HCN) uses a multi-tier architecture made up of a macro-base station (MBS) and pico-base station (PBS). Due to its superior spectrum efficiency, non-orthogonal multiple access (NOMA) has been identified as a suitable multiple-access strategy for the upcoming sixth-generation wireless networks. Successive interference cancellation (SIC) is an essential technique in NOMA that enables multiple users to share the same resource while maintaining high performance and fairness. Thus, it is essential to understand the performance guarantees of actual NOMA-enabled HCN systems (HCN-NOMA) using a multi-tier design under both ideal and imperfect SIC using a stochastic geometry. In multi-tier HCN, the outage probability and system throughput of orthogonal multiple access …