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Network performance analysis relies mainly on two models: a workload model and a performance model. This paper proposes to use histograms for characterising the arrival workloads and a performance model based on a stochastic process. This new stochastic process works directly with histograms using a set of specific operators. The result is the buffer occupancy distribution. The loss rate and network delay distribution can be obtaining using this distribution. Three traffic models are proposed: the first model (the HD model) is a basic histogram model that is compact and short-range dependent, the second (HD(m) model) is based on obtaining several histograms using different time scales and the third (the HD(H) model) is based on the Hurst parameter and it is long-range dependent.