01.00.00 Physical-mathematical sciences
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ESTIMATION OF VIRUSES DISTRIBUTION AREA DIAMETER USING MODELS ON PREFRACTAL GRAPHS
01.00.00 Physical-mathematical sciences
DescriptionThe article investigates the problem of estimation of diameters of prefractal graphs with priming stars and with full priming which contiguity of old edges in a trajectory isn't broken on spectra
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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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METHODOLOGY OF CONTROL PROCESSES MODELING IN SOCIO-ECONOMIC SYSTEMS
01.00.00 Physical-mathematical sciences
DescriptionThe article introduces the basic concepts of control theory. It has also noted the multicriteriality of real control problems. After reviewing the basic concepts of the theory of modeling we have analyzed postwar history and current status of mathematical modeling of control processes. We have also discussed the modeling methodology. As an example of a real model of the management process we have considered a model of allocation of time between the acquisition of knowledge and development of skills
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NONPARAMETRIC AND APPLIED STATISTICS IN OUR COUNTRY
01.00.00 Physical-mathematical sciences
DescriptionWe continue the series of articles about the history of statistics. We discuss the development of nonparametric and applied statistics in our country in 1930 - 1980 years. We have presented the studies of the great statisticians of the twentieth century, such as N.V. Smirnov, L.N. Bolshev, V.V. Nalimov. American statistics show Russian debate about applied statistics. We have briefly listed the process of creation of the All-Union Statistical Association (1990) and its further developments
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DISTANCES IN THE SPACES OF STATISTICAL DATA
01.00.00 Physical-mathematical sciences
DescriptionThe core of applied statistics is statistics in spaces of arbitrary nature, based on the use of distances and optimization problems. This article discusses the various distances in spaces of statistical data, in particular, their conclusions on the basis of appropriate systems of axioms. The conditions and proofs of theorems first published in scientific periodicals
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THEORETICAL TOOLS OF STATISTICAL METHODS
01.00.00 Physical-mathematical sciences
DescriptionWe have considered the basic mathematical tools (theorems, methods) which are used regularly in the justification of new results in the field of statistical methods: rules of large numbers, central limit theorems, the necessary and sufficient conditions for the inheritance of convergence, the linearization method, the invariance principle