Abstract:
A vector-valued homogeneous random field will be called semi-binary if its single-point marginal distribution is a mixture of a singular distribution and a continuous one. In this paper, we present methods of numerical simulation of semi-binary fields on the basis of the correlation structure and the marginal distribution. As an example, we construct a combined model of cloud top height and optical thickness using satellite observations results.
Key words:
simulation of stochastic fields, semi-binary and quasi-Gaussian random fields, correlations, marginal distribution, simulation of stochastic structure of clouds.
Citation:
S. M. Prigarin, A. L. Marshak, “Simulation of vector semi-binary homogeneous random fields and modeling of broken clouds”, Sib. Zh. Vychisl. Mat., 11:3 (2008), 347–356; Num. Anal. Appl., 1:3 (2008), 285–292
This publication is cited in the following 4 articles:
V. A. Ogorodnikov, S. M. Prigarin, A. S. Rodionov, “Quasi-Gaussian model of network traffic”, Autom. Remote Control, 71:3 (2010), 473–485
Sergei M. Prigarin, Andreas Martin, Gerhard Winkler, “Simulation of binary random fields with Gaussian numerical models”, Monte Carlo Methods and Applications, 16:2 (2010)
Prigarin S.M., Marshak A., “A simple stochastic model for generating broken cloud optical depth and cloud-top height fields”, Journal of the Atmospheric Sciences, 66:1 (2009), 92–104