name
Orlov Alexander Ivanovich
Scholastic degree
•
•
•
Academic rank
professor
Honorary rank
—
Organization, job position
• Bauman Moscow State Technical University
Research interests
статистические методы, организационно-экономическое моделирование. Разработал новую область прикладной статистики — статистику объектов нечисловой природы
Web site url
—
Current rating (overall rating of articles)
0
TOP5 co-authors
Articles count: 155
Сформировать список работ, опубликованных в Научном журнале КубГАУ
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A NEW APPROACH TO THE STUDY OF THE STABILITY OF CONCLUSIONS IN THE MATHEMATICAL MODELS
01.00.00 Physical-mathematical sciences
DescriptionWe have proposed the general scheme for studying the stability of the conclusions obtained by mathematical methods and models regarding tolerance deviations of the original data and background models. The concrete problems of stability are discussed: towards a change of data, its size and distributions, to allowable transformations measurement scales, to the temporal characteristics (time of start of the project, the planning horizon). Reducing the uncertainty can be conducted by changing the type of data, i.e. with the aid of the transition to non-numerical data. The models of concrete management processes of industrial organizations are considered on the examples of stability characteristics of investment projects to change the discount factors and in models of inventory management to change in the coefficients of the model and batch size production
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DO WE ALWAYS NEED A SUPPLIER’S QUALITY CONTROL?
DescriptionThe higher the level of quality achieved, the greater the control size - this is the paradox of the classical theory of statistical control. A possible way out is to move to the technical policy based on economic characteristics. Shifting control to the consumer may be economically profitable. We have considered two variants of technical policy - increasing lot size and replacing defective product units at the consumer
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TWO-SAMPLE WILCOXON TEST - ANALYSIS OF TWO MYTHS
01.00.00 Physical-mathematical sciences
DescriptionIt was established that the two-sample Wilcoxon test (Mann-Whitney test) was designed to test the hypothesis H0: P(X
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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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FUZZY SETS THEORY AS THE PART OF PROBABILITY THEORY
01.00.00 Physical-mathematical sciences
DescriptionOne of the key provisions of the system fuzzy interval mathematics - the claim that the theory of fuzzy sets is the part of the theory of random sets, thus, part of the probability theory. The article is devoted to the justification of this statement. Proved number of theorems that show that the fuzzy sets and the results of operations on them can be viewed as the projections of random sets and the results of the corresponding operations on them
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SYSTEM FUZZY INTERVAL MATHEMATICS - A PROMISING AREA OF THEORETICAL AND COMPUTATIONAL MATHEMATICS
01.00.00 Physical-mathematical sciences
DescriptionThe article b riefly considers the prospects of some “points of growth” in the modern theoretical and computational mathematics: the numbers and sets, i.e. the base of modern mathematics; mathematical, pragmatic and computer numbers; from the usual sets - to unclear; the theory of fuzzy sets and “fuzzy dou-bling” of mathematics; the mix of fuzzy set theory to the theory of random sets; interval numbers as a spe-cial case of fuzzy sets; development of interval mathematics (interval doubling of mathematics); the system as a generalization of a multitude; the systematic generalization of mathematics and tasks emerging; the systematic generalization of operations on sets (on the example of the operation of the Boolean association); the systematic generalization of the concept of functions and functional dependencies participation; cognitive function; the matrix of knowledge as fuzziness with an estimated degree of truth of showing data systems arguments on the system of values of the function; modification of the method of least squares for the approximation of cognitive functions; development of the idea of the systematic generalization of mathematics in the field of information theory – system emergent information theory; information measures of the level of consistency; ratios of emergence; direct and opposite, direct and indirect logical reasoning with an estimated level of truth; intellectual system of Eidos X++ as a toolkit that implements the ideas of system of a fuzzy interval sum of mathematics
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NEW PARADIGM OF ANALYSIS OF STATISTICAL AND EXPERT DATA IN PROBLEMS OF ECONOMICS AND MANAGEMENT
DescriptionThe article is devoted to the methods of analysis of statistical and expert data in problems of economics and management that are discussed in the framework of scientific specialization "Mathematical methods of economy", including organizational-economic and economic-mathematical modeling, econometrics and statistics, as well as economic aspects of decision theory, systems analysis, cybernetics, operations research. The main provisions of the new paradigm of this scientific and practical field are developed by the author of this article in the 1980s during the creation of the All-Union Statistical Association. The new paradigm is compared with the old (corresponding to the middle of XX century). Is summarized monographs, textbooks and manuals prepared under the leadership of the author of this paper in the XXI century according to the new paradigm
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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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Description
For strategic and operational management tasks in the aerospace industry we use a variety of organizational-economic models and methods. Their set is called an organizational-economic support. In this article we discuss the approaches to the development of adequate organizational-economic support in the aerospace industry. In particular, we consider the problems of estimation of the effectiveness and management of innovation-investment projects to create aviation and space technology
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CURRENT STATUS OF NONPARAMETRIC STATISTICS
01.00.00 Physical-mathematical sciences
DescriptionNonparametric statistics is one of the five points of growth of applied mathematical statistics. Despite the large number of publications on specific issues of nonparametric statistics, the internal structure of this research direction has remained undeveloped. The purpose of this article is to consider its division into regions based on the existing practice of scientific activity determination of nonparametric statistics and classify investigations on nonparametric statistical methods. Nonparametric statistics allows to make statistical inference, in particular, to estimate the characteristics of the distribution and testing statistical hypotheses without, as a rule, weakly proven assumptions about the distribution function of samples included in a particular parametric family. For example, the widespread belief that the statistical data are often have the normal distribution. Meanwhile, analysis of results of observations, in particular, measurement errors, always leads to the same conclusion - in most cases the actual distribution significantly different from normal. Uncritical use of the hypothesis of normality often leads to significant errors, in areas such as rejection of outlying observation results (emissions), the statistical quality control, and in other cases. Therefore, it is advisable to use nonparametric methods, in which the distribution functions of the results of observations are imposed only weak requirements. It is usually assumed only their continuity. On the basis of generalization of numerous studies it can be stated that to date, using nonparametric methods can solve almost the same number of tasks that previously used parametric methods. Certain statements in the literature are incorrect that nonparametric methods have less power, or require larger sample sizes than parametric methods. Note that in the nonparametric statistics, as in mathematical statistics in general, there remain a number of unresolved problems