Abstract. We propose the Loss Event Rate Discounting scheme to improve the performance of MULTFRC over wireless networks. In our MULTFRC-LERD scheme, each TFRC connection includes several loss discounting levels. When the wireless bandwidth is underutilized, we increase the discounting level of the TFRC connection at first, and when all the existing connections have reached the highest loss discounting level we open a new connection. The connection number and loss discounting level are determined by Inverse Increase Additive Decrease algorithm. Analytical and simulation results demonstrate that our scheme is a finer granularity rate control scheme for video streaming over wireless networks and can reduce the resource consumption significantly compared with MULTFRC. Moreover, LERD extends the range of applicability of the MULTFRC scheme.