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The power-saving class of type I (PSC I), which is one of the sleep-mode operations specified in the IEEE 802.16 e standard, is designed to reduce power consumption for nonreal-time traffic. However, the inefficiency of the PSC I comes from the configuration of its operation and the utilized mechanism of binary-exponential traffic detection. Based on the concepts of IEEE 802.16 m sleep-mode operation, a statistical sleep window control (SSWC) approach is proposed to improve the energy efficiency of a mobile station (MS) with nonreal-time downlink traffic in this paper. The SSWC approach constructs a discrete-time Markov-modulated Poisson process (dMMPP) for representing the states of nonreal-time traffic. Furthermore, a partially observable Markov decision process (POMDP) is exploited within the SSWC approach to conjecture the present traffic state. Based on the estimated traffic state and the considerations of tolerable delay and/or queue size, two suboptimal policies, including the sleep ratio-based (SR) and energy cost-based (EC) policies, are proposed within the SSWC approach. The efficiency of the proposed SSWC approach is evaluated and compared via simulations. Simulation results show that the proposed SSWC approach outperforms the conventional IEEE 802.16 e PSC I and the evolutional PSC I of the IEEE 802.16 m system in terms of both energy conservation and packet delay.