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In this paper, we propose and clarify distributed information retrieval (IR) manner uses of peer-to-peer (P2P) Technology, which has same accuracy approximately at current index-integrated search engine use of statistical information calculated from the contents. Decentralized IR mechanisms use of statistic information have following problems. One is the manner calculates the statistic information from all contents by the collaborated with distributed peers (nodes). Second problem is the efficient allocation of indices on logical space created by peers, and named it "Multiple-Ring". And the last problem is constructing efficient IR strategies with high accuracy on them. At end, the proposal distributed IR mechanism is suitable for the flexible IR systems from middle scale to small scale such as office, because the system scalability is limited by the propagation time periodically among peers.