01.00.00 Physical-mathematical sciences
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ASYMPTOTIC METHODS OF STATISTICAL CONTROL
01.00.00 Physical-mathematical sciences
DescriptionStatistical control is a sampling control based on the probability theory and mathematical statistics. The article presents the development of the methods of statistical control in our country. It discussed the basics of the theory of statistical control – the plans of statistical control and their operational characteristics, the risks of the supplier and the consumer, the acceptance level of defectiveness and the rejection level of defectiveness. We have obtained the asymptotic method of synthesis of control plans based on the limit average output level of defectiveness. We have also developed the asymptotic theory of single sampling plans and formulated some unsolved mathematical problems of the theory of statistical control
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MULTIFORMITY OF OBJECTS OF NON-NUMERICAL NATURE
01.00.00 Physical-mathematical sciences
DescriptionIn accordance with the new paradigm of mathematical statistics the statistics of objects of nonnumerical nature (statistics of nonnumerical objects, non-numerical data statistics, non-numeric statistics) is one of the four main areas of mathematical statistics. Statistics of objects of nonnumerical nature consists of a central core - statistics in spaces of arbitrary nature - and statistical theories of analysis of specific types of non-numeric data. To identify possibilities of application of statistics of objects of nonnumerical nature it is useful to explore the multiformity of objects of non-numeric nature. This is the subject of this article. We have considered the results of measurements at scales other than absolute; binary relations; dichotomous (binary) data; sets. We have also analyzed the objects of non-numerical nature as statistical data, and their importance in the formation of statistical or mathematical model of a real phenomenon, as a result of data analysis
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ADDITIVE-MULTIPLICATIVE MODEL FOR RISK ESTIMATION IN THE PRODUCTION OF ROCKET AND SPACE TECHNICS
01.00.00 Physical-mathematical sciences
DescriptionFor the first time we have developed a general additive-multiplicative model of the risk estimation (to estimate the probabilities of risk events). In the two-level system in the lower level the risk estimates are combined additively, on the top – in a multiplicative way. Additive-multiplicative model was used for risk estimation for (1) implementation of innovative projects at universities (with external partners), (2) the production of new innovative products, (3) the projects for creation of rocket and space equipmen
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TELLURIUM DOPING OF EPITAXIAL LAYERS GaxIn(1-x)PySb(1-y)
01.00.00 Physical-mathematical sciences
DescriptionThe results of the research of the influence of tellurium dopant on the opto-electrical properties of the GaxIn(1-x)PySb(1-y) , are reviewed in this article. The mostly important results are discussed
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01.00.00 Physical-mathematical sciences
DescriptionSince there are many artificial intelligence systems, there is a need of comparable quality assessment of their mathematical models. For this purpose, these systems can be tested on the same database source data, for which it is very convenient to use a public database of the UCI repository. This work is aimed at the study and development of model practices of the database of the UCI repository to assess the quality of mathematical models of artificial intelligence systems
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SYNERGETIC WAY TO THE COGNITION OF MICRO- AND MACRO WORLD
01.00.00 Physical-mathematical sciences
DescriptionThe author points out the features of synergy, which using the linearity and nonlinearity and also express-es the aspects of material unity of the world in the theory, linked to the general properties of self-development of complex systems. The universe is seen as a dissipative system with periodically remov-able elements (elementary dissipative systems)
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THE UNITY OF MICRO- AND MACRO WORLD
01.00.00 Physical-mathematical sciences
DescriptionIn this article we have presented the actual idea about the evolutional character in the modern science. The reason of the unity of nature is demonstrated in the particular example using cosmology and physics
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THE GROWTH POINTS OF STATISTICAL METHODS
01.00.00 Physical-mathematical sciences
DescriptionOn the basis of a new paradigm of applied mathematical statistics, data analysis and economic-mathematical methods are identified; we have also discussed five topical areas in which modern applied statistics is developing as well as the other statistical methods, i.e. five "growth points" – nonparametric statistics, robustness, computer-statistical methods, statistics of interval data, statistics of non-numeric data
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COMPUTER-STATISTICAL METHODS: STATE AND PROSPECTS
01.00.00 Physical-mathematical sciences
DescriptionWe have analyzed the current state of the main computer-statistical methods, identified achievements and existing problems, outlined the prospects of further movement and formulated the problems to be solved. We have also discussed the Monte Carlo methods, pseudo-random numbers, simulation, bootstrap and resampling, the automated system-cognitive analysis. We have considered the applications of computer statistics in controlling and properties of statistical packages as the tools for researchers
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PREDICTION METHODS FOR THE ROCKET AND SPACE INDUSTRY
01.00.00 Physical-mathematical sciences
DescriptionWe have allocated the basic sources of uncertainty in various industrial and economic situations. We have also considered the role and the tasks of forecasting in the management of industrial companies, particularly in the rocket and space industry. We have discussed the methods of organizational and economic forecasting - statistical, expert, combined, including foresight and given some suggestions for improving the forecasting and planning mechanisms for practical use when creating space systems