Congestion control in a communications network, e.g. an Internet Protocol (IP) network, is effected by controlling the egress rate of traffic from the output buffer of the system routers or switches. The traffic egressing from an output buffer is sampled at sequential intervals to determine a bit rate at each interval. An autocorrelation function is calculated from these samples and is used to provide an estimated statistical measure or parameter indicative of congestion and related to a long range dependence of the traffic. A calculation is then made as to whether an increase or a decrease in the buffer output rate would result in a decrease in the congestion parameter, and the buffer output rate is adjusted accordingly.