%0 Journal Article
%T Higher-Order Statistics for Stochastic Electromagnetic Interactions: Applications to a Thin-Wire Frame
%A Ousmane Oumar Sy
%A Martijn C. van Beurden
%A Bastiaan L. Michielsen
%A Jean-Pierre A. H. M. Vaessen
%A Antonius G. Tijhuis
%J PIER    B
%D 2012
%I EMW Publishing
%R 10.2528/PIERB12042104
%X Uncertainties in an electromagnetic observable, that arise from uncertainties in geometric and electromagnetic parameters of an interaction configuration, are here characterized by combining computable higher-order moments of the observable with higher-order Chebychev inequalities. This allows for the estimation of the range of the observable by rigorous confidence intervals. The estimated range is then combined with the maximum-entropy principle to arrive at an efficient and reliable estimation of the probability density function of the observable. The procedure is demonstrated for the case of the induced voltage of a thin-wire frame that has a random geometry, is connected to a random load, and is illuminated by a random incident field.
%U http://www.jpier.org/pierb/pier.php?paper=12042104