Abstract
In this paper, random structure systems with distributed transitions are considered. A theorem on the form of conditional structure distributions is proved. To simulate these distributions, a statistical algorithm using a randomized method of maximum cross-section is constructed. Also, a modified version of this algorithm using simulation with a single random number is constructed. The algorithms are used to simulate the numerical solution of random structure systems with distributed transitions. A theorem on weak convergence of a numerical solution obtained by the algorithms is proved.
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