This document summarizes a paper on distributed processing of probabilistic top-k queries in wireless sensor networks. It introduces the concepts of sufficient and necessary sets, which can facilitate localized data pruning in clusters. It then describes three algorithms - sufficient set-based, necessary set-based, and boundary-based - for intercluster query processing with bounded communication rounds. Finally, it presents an adaptive algorithm that dynamically switches between the three algorithms to minimize transmission cost, and experimental results showing the algorithms significantly reduce data transmission with small constant communication rounds, with the adaptive algorithm performing near-optimally under various conditions.