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The technique of a prediction of coefficient of Hurst on the basis of various ways of a prediction is offered. For a choice of a method of a prediction errors of underestimation and revaluation are entered. It is shown that if not to consider fluctuation of value of coefficient of Hurst, the demanded parameters of a multiservice network, the allocated resources of a network used for calculation or will be insufficiently for high-quality service of the arriving traffic (that is QoS indicators will worsen), or resources of a network will be inefficiently used.