Bauman Moscow State Technical University
Author list of organization
List of articles written by the authors of the organization
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01.00.00 Physical-mathematical sciences
DescriptionWe consider an approach to the transition from continuous to discrete scale which was defined by means of step of quantization (i.e. interval of grouping). Applied purpose is selecting the number of gradations in sociological questionnaires. In accordance with the methodology of the general stability theory, we offer to choose a step so that the errors, generated by the quantization, were of the same order as the errors inherent in the answers of respondents. At a finite length of interval of the measured value change of the scale this step of quantization uniquely determines the number of gradations. It turns out that for many issues gated it is enough to point 3 - 6 answers gradations (hints). On the basis of the probabilistic model we have proved three theorems of quantization. They are allowed to develop recommendations on the choice of the number of gradations in sociological questionnaires. The idea of "quantization" has applications not only in sociology. We have noted, that it can be used not only to select the number of gradations. So, there are two very interesting applications of the idea of "quantization" in inventory management theory - in the two-level model and in the classical Wilson model taking into account deviations from it (shows that "quantization" can use as a way to improve stability). For the two-level inventory management model we proved three theorems. We have abandoned the assumption of Poisson demand, which is rarely carried out in practice, and we give generally fairly simple formulas for finding the optimal values of the control parameters, simultaneously correcting the mistakes of predecessors. Once again we see the interpenetration of statistical methods that have arisen to analyze data from a variety of subject areas, in this case, from sociology and logistics. We have another proof that the statistical methods - single scientificpractical area that is inappropriate to share by areas of applications
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TESTING OF HOMOGENEITY OF PAIRED SAMPLES
01.00.00 Physical-mathematical sciences
DescriptionThe article begins with the letter of the chief engineer of chemical plant near Moscow. He requests to analyze of data by means of modern statistical methods and give an opinion on the presence (or absence) of the relationship between the two methods of determining the viscosity of the mastic. For each of the batches of mastic It was presented two numbers - the viscosity measurement results of the two methods. These numbers form two paired samples. We want to install, give whether two specific methods similar results. The true values of viscosity in different batches are not equal. Their difference is not allows us to combine the results of the first measurement method in first sample, the results of the second method - in the second sample, as we can do in the case of testing the homogeneity of two independent samples. For solutions to this problem we discuss four statistical criterions, based on a study of the differences between corresponding values in two paired samples. We test the hypothesis of equality 0 of median of these differences (sign test) and of equality 0 of the mathematical expectation of these differences. Hypothesis of testing of equality of the distribution functions of two paired samples is reduced to the hypothesis of symmetry of the distribution function of these differences with respect to 0. In the alternative of the shift is proposed to use the Wilcoxon signed rank criterion. In the total alternative is proposed to use criterion of the omega-square type which is developed by the author of this article
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Description
The article deals with studying the ways of optimizing the amount of chemical additives in the wood-concrete material, i.e. arbolite, which contains foamed polystyrene gravel aggregate. To make arbolite honeycombed structure more conglomerated a nonreactive aggregate, i.e. hogged chips, has been partially replaced with foamed polystyrene gravel aggregate which has a mean particle size equal to a concrete pocket size. The article also deals with various additives to be used, taking into account the nonreactive aggregate type and its quality, the composite density and its reinforcement level. All chemical additives have been chosen to make the initial material more porous, to produce a film covering the aggregate surface and to speed up the process of concrete hardening. To solve to above problems a series of experiments was carried out, the latter studied various combinations of factors changing at certain levels. The results of studying the foamed polystyrene gravel aggregate influence on the arbolite structure and its characteristics were used to make a choice of the arbolite composition. The main criterion of the optimal amount of chemical additives has been considered the arbolite strength. The experimental data processing has resulted in the finite regression model which describes the chemical additive amount influence on the arbolite strength. The tables in the article show the levels of technological factors varying and the matrix of planning the experiments to be carried out in order to optimize the chemical additive amount. As a result of the research accomplished the optimal amount of chemical additives has been determined which enables to produce the arbolite with some foamed polystyrene gravel aggregate in its composition
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Description
Decision-making requires a thorough analysis of the external environment in which the economic system operates. Anti-Russian economic sanctions is significantly destabilized external environment that has complicated the task of making decisions on management of the enterprise. This study analyzes the problem of decision making under conditions of the uncertainty caused by the anti-Russian sanctions, the conclusion about the limited decision-making methods based on game theory. The most effective are management practices supported by information systems. The article analyzes the current information technology of managing a company made by different developers who have already installed their software products on objects, which are strategic for the Russian economy. In terms of economic sanctions, such a situation creates a threat to the economic security of the country. Based on domestic developments, it is proposed to construct an information model of the enterprise, which will reduce the risks and increase the quality of managerial decisions. The work presents a structural scheme of the information model and defines its objectives and characteristics
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ASYMPTOTICS OF ESTIMATES OF PROBABILITY DISTRIBUTION DENSITY
01.00.00 Physical-mathematical sciences
DescriptionNonparametric estimates of the probability distribution density in spaces of arbitrary nature are one of the main tools of non-numerical statistics. Their particular cases are considered - kernel density estimates in spaces of arbitrary nature, histogram estimations and Fix-Hodges-type estimates. The purpose of this article is the completion of a series of papers devoted to the mathematical study of the asymptotic properties of various types of nonparametric estimates of the probability distribution density in spaces of general nature. Thus, a mathematical foundation is applied to the application of such estimates in non-numerical statistics. We begin by considering the mean square error of the kernel density estimate and, in order to maximize the order of its decrease, the choice of the kernel function and the sequence of the blur indicators. The basic concepts are the circular distribution function and the circular density. The order of convergence in the general case is the same as in estimating the density of a numerical random variable, but the main conditions are imposed not on the density of a random variable, but on the circular density. Next, we consider other types of nonparametric density estimates - histogram estimates and Fix-Hodges-type estimates. Then we study nonparametric regression estimates and their application to solve discriminant analysis problems in a general nature space
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THE LIMIT THEORY OF THE SOLUTIONS OF EXTREMAL STATISTICAL PROBLEMS
01.00.00 Physical-mathematical sciences
DescriptionMany procedures of applied mathematical statistics are based on the solution of extreme problems. As examples it is enough to name methods of least squares, maximum likelihood, minimal contrast, main components. In accordance with the new paradigm of applied mathematical statistics, the central part of this scientific and practical discipline is the statistics of non-numerical data (it is also called the statistics of objects of non-numerical nature or non-numeric statistics) in which the empirical and theoretical averages are determined by solving extreme problems. As shown in this paper, the laws of large numbers are valid, according to which empirical averages approach the theoretical ones with increasing sample size. Of great importance are limit theorems describing the asymptotic behavior of solutions of extremal statistical problems. For example, in the method of least squares, selective estimates of the parameters of the dependence approach the theoretical values, the maximum likelihood estimates tend to the estimated parameters, etc. It is quite natural to seek to study the asymptotic behavior of solutions of extremal statistical problems in the general case. The corresponding results can be used in various special cases. This is the theoretical and practical use of the limiting results obtained under the weakest assumptions. The present article is devoted to a series of limit theorems concerning the asymptotics of solutions of extremal statistical problems in the most general formulations. Along with the results of probability theory, the apparatus of general topology is used. The main differences between the results of this article and numerous studies on related topics are: we consider spaces of a general nature; the behavior of solutions is studied for extremal statistical problems of general form; it is possible to weaken ordinary requirements of bicompactness type by introducing conditions of the type of asymptotic uniform divisibility
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TECHNOLOGICAL WAYS IN INNOVATIVE DEVELOPMENT OF ECONOMY
DescriptionIn the article we consider problems of transition of an economic system to the new technological way. Success depends on degree of readiness of system for institutional changes and availability of necessary resources. Assessment of a condition of system plays an important role in the choice of management decisions on its upgrade. Delay with transition to new technological way or, on the contrary, its stimulation in system, not ready to changes, leads to serious, negative consequences for the reformed economy. Change of technological way leads to the release of capital which goes to the financial markets, entering crisis chaos into the system. The task of the state consists in timely reaction on developed, during transition to new way, a situation and the direction of financial flows in key technologies of new way. The new system of assessment of a condition of system and a stabilization effort is offered during the change of technological way
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PRODUCTION RISKS AND ECONOMIC HAZARDS OF MODERN HIGH-TECH INDUSTRIES
DescriptionThe article shows that when the plans for the creation and production of modern high-tech innovative products for different purposes it is necessary to consider all possible risks and dangers that accompany modern innovative projects. New approaches to the planning of the development of science-intensive industries should ensure that the accounting and the management of risk situations of the financialeconomic, scientific-technical and industrialtechnological character. One of the promising directions of the domestic output of the industrial complex from its current unstable state is a strategic planning and forecasting of its activity, the development strategies should be based on an evaluation of available enterprise resources, the lack of which leads to stagnation. With active government support the company can successfully implement a strategy of stabilization and progress through cooperation and diversification of production and to make a technological breakthrough in creating high-tech products of new generation
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EFFECT OF THE METHODOLOGY FOR DECISION-MAKING IMPLICATIONS
DescriptionThe term "methodology" is understood differently. Methodology - the doctrine of the organization. Methodology (from the "method" and "logy") - the doctrine of structure, logical organization, methods and means of action. Methodology - the system of principles and methods of organization and construction of theoretical and practical activities, as well as teaching on this system. From these definitions it follows that the methodology - is an intellectual base rod defining approach to specific activities to management decisions. The methodology, which adheres to the manager, lies at the heart of its activities, determines its success or failure, manifested in the consequences of decisions. We give some examples of methodological errors which lead to wrong management decisions. So, the person who seriously requires providing "maximum profit at minimum cost" should be classified into one of two classes, which can be briefly described as "fools" and "liars". Profit must not be the sole purpose of business. The following section will discuss the methodology in place of conducting various scientific economic and technical studies. A natural continuation of the topic - the wording of some of the methodological problems using mathematical methods
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FORMATION OF BASICS FOR EQUIPMENT UTILIZATION ON VARIOUS LEVELS OF ITS LIFE CYCLE
DescriptionNowadays, in Russia the problem of utilization of self-propelled vehicles has not been solved yet. This problem remains because in Russia there is no accurate system of cooperation between developers, producers and customers of mechanical products. The article analyses Russian and foreign experience in solving this issue, gives brief information about working out Russian system of agricultural machines utilization