  Various system tasks like interference coordination, handover decisions,
admission control etc. in upcoming cellular networks require precise mid-term
(spanning over a few seconds) performance models. Due to channel-dependent
scheduling at the base station, these performance models are not simple to
obtain. Furthermore, upcoming cellular systems will be interference-limited,
hence, the way interference is modeled is crucial for the accuracy. In this
paper we present an analytical model for the SINR distribution of the
\textit{scheduled} subcarriers of an OFDMA system with proportional fair
scheduling. The model takes the precise SINR distribution into account. We
furthermore refine our model with respect to uniform modulation and coding, as
applied in LTE networks. The derived models are validated by means of
simulations. In additon, we show that our models are approximate estimators for
the performance of rate-based proportional fair scheduling, while they
outperform some simpler prediction models from related work significantly.
