ESTIMATION OF STATISTICAL CHARACTERISTICS OF THE MATHEMATICAL MODEL BY PUGACHEV'S METHOD

Елена Гарбузняк, Elena Garbuznyak, Ольга Сташкова, O. Stashkova, Оксана Шестопал, Oksana Shestopal, Людмила Козак, L. Kozak
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Abstract

The article under the heading «Estimation of statistical characteristics of the mathematical model by Pugachev's method» is devoted to the problem of taking into account the error of the initial data. The essence of the problem is the need to obtain statistical estimates of probabilistic characteristics efficiently with a given accuracy, and also with minimal losses of computer time. The article consists of an introduction, two sections, an opinion, a list of references. The first section presents the current state of the investigated problem, describes methods of mathematical modeling and an algorithm for solving it. The second section is devoted to the development of a software product, describes the used tools, the structure of the software product, user classes and methods. The authors demonstrate the interface of the application and its features, as well as the results of testing, which was conducted on a set of statistical data obtained during a multifactor unstable process. The authors point out the advantages and disadvantages of Pugachev's method. Evaluating the work as a whole, it can be argued that the practical importance and prospects of the development of this direction of research is obvious.
用普加乔夫方法估计数学模型的统计特性
在“用普加乔夫方法估计数学模型的统计特征”的标题下,文章专门讨论了考虑初始数据误差的问题。问题的本质是需要在给定的精度下有效地获得概率特征的统计估计,并且要使计算机时间损失最小。这篇文章由导言、两节、观点和参考文献组成。第一部分介绍了所研究问题的现状,描述了数学建模的方法和求解该问题的算法。第二部分致力于软件产品的开发,描述了所使用的工具、软件产品的结构、用户类和方法。作者演示了该应用程序的界面和功能,并对在多因素不稳定过程中获得的一组统计数据进行了测试。作者指出了普加乔夫方法的优缺点。从整体上评价工作,可以认为这一研究方向的现实重要性和发展前景是显而易见的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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