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We consider the spatial stochastic model of single-tier downlink cellularnetworks, where the wireless base stations are deployed according to a generalstationary point process on the Euclidean plane with general i.i.d. propagationeffects. Recently, Ganti & Haenggi (2016) consider the same general cellularnetwork model and, as one of many significant results, derive the tailasymptotics of the signal-to-interference ratio (SIR) distribution. However,they do not mention any conditions under which the result holds. In this paper,we compensate their result for the lack of the condition and expose asufficient condition for the asymptotic result to be valid. We furtherillustrate some examples satisfying such a sufficient condition and indicatethe corresponding asymptotic results for the example models. We give also asimple counterexample violating the sufficient condition.

A sufficient condition for tail asymptotics of SIR distribution in downlink cellular networks