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A correlation-based computational model for synthesizing long-range dependent data. (English) Zbl 1051.93095
A second-order stationary random function \(x(t)\) is called a stationary process with long-range dependent (LRD) data if \[ r_x(t)= E[x(t) x(t+\tau)]\sim c\tau^{2H- 2}\,(\tau\to \infty),\;H\in (0.5, 1), \] where \(c> 0\); the parameter \(H\) is called the Hurst parameter. The authors present a computation model to generate LRD data according to a given correlation structure by filtering white noise.

93E03 Stochastic systems in control theory (general)
60G15 Gaussian processes
60G10 Stationary stochastic processes
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