Abstract

The study presents a brief overview of key results of research conducted at the Statistical Modeling Department of St. Petersburg State University. These results include mathematical substantiation of the computer simulation of randomness, stochastic methods for solving equations, stochastic optimization, and study of the stochastic stability and parallelism of Monte Carlo algorithms. In terms of experiment design, special attention is given to regression experiments with nonlinear parameterization. The references list includes mainly monographs authored by faculty members of the department, with the exception of some articles containing results not included in those.

中文翻译：

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随机计算方法和实验设计

摘要

该研究简要概述了圣彼得堡国立大学统计建模系的主要研究成果。这些结果包括随机性计算机模拟的数学证明、求解方程的随机方法、随机优化以及蒙特卡罗算法的随机稳定性和并行性研究。在实验设计方面，特别注意非线性参数化的回归实验。参考文献列表主要包括该系教师撰写的专着，但一些包含未收录结果的文章除外。