According to the analysis of literature sources, the statistical processing of measurement results is not always given due attention. Unfortunately, appropriate algorithms are often limited to simplified statistical procedures, without the proper justification of the objective function, including to check the quality of processing of random data. Therefore, the author plans to publish a series of articles on statistical modeling, which will include the results of original research by the author and others. In this article are considered the methodological aspects of statistical modeling of two-dimensional systems with random data, physical substantiation of correlation regularities of statistical relations between random variables is given, since or the problem of establishing the law of distribution of random variable has practical interest from the point of view of modeling statistical regularities of model “signal + noise”.
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