Bounded lognormal cascades as quasi-multiaffine random processes

Nonlinear Processes in Geophysics

Volumn 5, Issue 2, 1998, Pages 63-68

  Menabde, M ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

GEOPHYSICS; MODEL; STOCHASTIC PROCESS;

EID: 0032464960     PISSN: 10235809     EISSN: None     Source Type: Journal    
DOI: 10.5194/npg-5-63-1998     Document Type: Article

References (11)

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2. Benzi, R., Biferale, L., Crisanti, A., Paladin, G., Vergassola, M., and Vulpiani, A., A random process for the construction of multiaffine field, Physica D, 65, 353-358, 1993.
3. Davis, A., Marshak, A., Wiscombe, W., and Cahalan, R., Scale Invariance of Water Distribution in Marine Stratocumulus. Part I; Spectral Properties and Stationarity Issues, J. Atmos. Sci., 53, 1538-1558, 1996.
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7. Menabde, M., Seed, A., Harris, D., and Austin, G., Self-Similar random fields and rainfall simulation, J. Geophys. Res, 102, D12, 13,509-13,515, 1997a.
8. Menabde, M., Harris, D., Seed, A., and Austin, G., Multiscaling properties of rainfall and bounded random cascades, Wat. Resour. Res., 33, No. 12, 2823-2830, 1997b.
9. Schertzer, D., and Lovejoy, S., Physical modeling and analysis of rain and clouds by anisotropic scaling multiplicative processes, J. Geophys. Res., 92, 9693-9714, 1987.
10. Springer, M.D., The algebra of random variables, John Wiley & Sons, 470 pp., 1979.
11. Veneziano, D., Bras, R.L., and Niemann, J.D., Nonlinearity and self-similarity of rainfall in time and stochastic model, J. Geophys. Res., 101D, 26, 371-26, 392, 1996.