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A power-law model and other models for long-range dependence. (English) Zbl 0882.62085
Summary: It is becoming increasingly recognized that some long series of data can be adequately and parsimoniously modelled by stationary processes with long-range dependence. Some new discrete-time models for long-range dependence or slow decay, defined by their correlation structures, are discussed. The exact power-law correlation structure is examined in detail.

MSC:
62M10Time series, auto-correlation, regression, etc. (statistics)
60G10Stationary processes
60G18Self-similar processes