V. Anh et al., STOCHASTIC-MODELS FOR CHARACTERIZATION AND PREDICTION OF TIME-SERIES WITH LONG-RANGE DEPENDENCE AND FRACTALITY, Environmental Modelling & Software with Environment Data News, 12(1), 1997, pp. 67-73
Time series from various fields, such as geophysics, meteorology, hydr
ology, air pollution, often display long-range dependence and small-sc
ale behaviour (fractality). This paper develops a new class of stochas
tic models to represent such properties. An efficient estimation proce
dure is described and tested on two concentration time series collecte
d in an environmental wind tunnel. These time series simulate two diff
erent types of odour sources and possess quite different statistical p
roperties that are well described by the new model. (C) 1997 Elsevier
Science Ltd.