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www.nonlin-processes-geophys.net/5/63/1998/
doi:10.5194/npg-5-63-1998
© Author(s) 1998. This work is licensed
under a Creative Commons License.
Bounded lognormal cascades as quasi-multiaffine random processes
Department of Physics, University of Auckland, Private Bag 92019, Auckland, New Zealand
Abstract. A new model for simulating non-negative random processes is developed. The model is based on a bounded random multiplicative cascade with a lognormal generator with the scale parameter dependent on the number of steps in the cascade. It is shown, both analytically and numerically, that the simulated field has multiaffine properties within some restricted range of scales. This type of random processes is defined here as quasi-multiaffine. A procedure for retrieving the modelling parameters from real data is also discussed.
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Citation: Menabde, M.: Bounded lognormal cascades as quasi-multiaffine random processes, Nonlin. Processes Geophys., 5, 63-68, doi:10.5194/npg-5-63-1998, 1998. Bibtex EndNote Reference Manager XML
