We present a replication-based approach that enables both fast and reliable stream processing over wide area networks. Our approach replicates stream processing operators in a manner where operator replicas compete with each other to make the earliest impact. Therefore, any processing downstream from such replicas can proceed by relying on the fastest replica without being held back by slow or failed ones. Furthermore, our approach allows replicas to produce output in different orders so as to avoid the cost of forcing an identical execution across replicas, without sacrificing correctness. We first consider semantic issues for correct replicated stream processing and, based on a formal foundation, extend common stream-processing primitives. Next, we discuss strategies for deploying replicas. Finally, we present preliminary results obtained from experiments on PlanetLab that substantiate the potential benefits of our approach.