This paper investigates the imperfect channel state information that is caused by channel estimation error on the leakage rate based hybrid untrustworthy relay selection strategy. The investigation considers a dual-hop multiple untrustworthy two-way half/full-duplex bi-directional wireless relaying in the system structure. According to analytical, asymptotic and MonteCarlo simulation results, the hybrid leakage rate based untrustworthy relay selection strategy achieves cooperative diversity order in high signal-to-noise ratio regimes. Results also show that the channel estimation error causes system coding gain losses in low signal-to-noise ratio regimes. The channel estimation error effects turn out to be at negligible at high signal-to-noise ratio regimes. Results also show that friendly jammer severely effects the system performance and degrades the achievable cooperative diversity order from M to 0 and also causes system coding gain losses in high signal-to-noise ratio regimes.