Scientific Journal of KubSAU

In the article we have considered A. N. Kolmogorov and N. V. Smirnov papers dedicated to one-sided and two-sided goodness-of-fit and homogeneity tests. It has been shown that the term "Kolmogorov - Smirnov test" used incorrectly. We have also given the recommendations on use of the terms "Kolmogorov test", "Smirnov test", "test of Kolmogorov-Smirnov type" and discussed omega-square test (Cramer-von Mises–Smirnov test). Typical errors in the application of these criterions have been considered, in particular to test for normality of the distribution of measurement results

Some estimators of the probability density function in spaces of arbitrary nature are used for various tasks in statistics of non-numerical data. Systematic exposition of the theory of such estimators has been started in our articles [3, 4]. This article is a direct continuation of these works [3, 4]. We will regularly use references to conditions and theorems of the articles [3, 4], in which introduced several types of nonparametric estimators of the probability density. We have studied linear estimators. In this article, we consider particular cases - kernel density estimates in discrete spaces. When estimating the density of the one-dimensional random variable, kernel estimators become the Parzen-Rosenblatt estimators. Under different conditions, we prove the consistency and asymptotic normality of kernel density estimators. We have introduced the concept of "preferred rate differences" and are studied nuclear density estimators based on it. We have introduced and studied natural affinity measures which are used in the analysis of the asymptotic behavior of kernel density estimators. Kernel density estimates are considered for sequences of spaces with measures. We give the conditions under which the difference between the densities of probability distributions and of the mathematical expectations of their nuclear estimates uniformly tends to 0. Is established the uniform convergence of the variances. We find the conditions on the kernel functions, in which take place these theorems about uniform convergence. As examples, there are considered the spaces of fuzzy subsets of finite sets and the spaces of all subsets of finite sets. We give the condition to support the use of kernel density estimation in finite spaces. We discuss the counterexample of space of rankings in which the application of kernel density estimators can not be correct

We consider the methods for estimation of the effectiveness and quality of the scientific activities of the researcher, of the organization, of the magazine. Performance indicators of scientific activity are used as an important part in the estimation of higher education institutions, the innovative capacity of enterprises, etc. To estimate the effectiveness of scientific activity is natural to use intellectual tools which are well-established in other subject areas. This will include, in particular, the balanced scorecard, based on key performance indicators (hence the title of this article), as well as controlling, primarily controlling of research activities. There are two more developed and widely used types of tools for estimation the effectiveness of the scientific activity - the scientometric indicators and the expert estimators. Their critical analysis is the subject of this article. The goal - to choose the most effective tool. Different versions of manipulating of values of scientometric indicators in the Russian Federation, in our estimation, are still relatively rare. Perhaps this is due to the relatively short period of their use in the management of science. Since an indicator such as citation index (the number of citations of publications) of researcher, allows estimating its contribution to science, the use of this scientometric indicator for the management of science is justified. At the same time, the number of publications and especially h-index is not possible to objectively estimate the effectiveness of research activities, particularly in view of the properties of the real bibliometric databases. Expert procedures have several disadvantages. In this article we discuss the real effectiveness of expert procedures in the areas of their application, as conferring academic degrees and elections to the National Academy of Sciences (primarily in the Russian Academy of Sciences), as well as appointments to senior positions. The basic principles of expertise in these areas remain the same for the past 70 years. Based on an analysis of practice it is necessary to ascertain the lack of efficacy of expert estimators in these areas. Rationale to what has been said is given in the article

Small business is an important part of modern Russian economy. We give a wide panorama developed by us of possible approaches to the construction of economic-mathematical models that may be useful to describe the dynamics of small businesses, as well as management. As for the description of certain problems of small business can use a variety of types of economic-mathematical and econometric models, we found it useful to consider a fairly wide range of such models, which resulted in quite a short description of the specific models. In this description of the models brought to such a level that an experienced professional in the field of economic-mathematical modeling could, if necessary, to develop their own specific model to the stage of design formulas and numerical results. Particular attention is paid to the use of statistical methods of non-numeric data, the most pressing at the moment. Are considered the problems of economic-mathematical modeling in solving problems of small business marketing. We have accumulated some experience in application of the methodology of economic-mathematical modeling in solving practical problems in small business marketing, in particular in the field of consumer goods and industrial purposes, educational services, as well as in the analysis and modeling of inflation, taxation and others. In marketing models of decision making theory we apply rankings and ratings. Is considered the problem of comparing averages. We present some models of the life cycle of small businesses - flow model projects, model of capture niches, and model of niche selection. We discuss the development of research on economic-mathematical modeling of small businesses

Inventory management (in other words, logistics) is an integral part of the work of firms, companies and organizations. We are talking about stocks of raw materials, fuel, tools, components, semi-finished products, finished products for industrial (or agricultural) firms, about stocks of goods to distribution centers, warehouses, shops, workplaces sellers, finally consumers. Stocks spent all the time and supplemented on various rules adopted in the firm. Optimization of these rules, ie, optimal inventory management, gives a big economic effect. The mathematical theory of inventory management, based on the models of movement of flows of goods, is an important area of economic-mathematical research. The classical model of inventory management proposed in 1915 by F. Harris is one of the simplest and most illustrative examples of application of the mathematical apparatus for decision-making in the economic field. This model is commonly referred to as the Wilson model, because this model became known after the publication of R.G. Wilson in 1934. The formula of the optimum batch size (the so-called "the formula of the square root"), obtained in the Wilson model, is widely used on various stages of production and distribution, since this formula is practically useful for decision-making in the inventory management, in particular, for generating significant economic effect. However, contrary to popular belief, by means of this formula it is impossible to calculate the optimal batch size (although it is a necessary step on the path of its finding). In strict economic-mathematical analysis of Wilson model, conducted in the article, it is shown that the formula of square root does not give the optimal batch size. We have given the algorithm for calculating the optimal batch size. It has been found that the formula of the square root gives asymptotically optimal plan. We have studied the stability of the conclusions in the economic-mathematical model and considered an example of the practical application of the classical model of inventory management

One of the important problems of marketing - the choice moments of output of new models (brands) of products to the market. In the article for the first time in scientific periodicals we have proposed a sketch economic-mathematical optimization model for selection of time of output of new brands to market. We have received the calculation formulas for the moments of the output of new brands

At the Department of "Economics and organization of production" at the end of XX - beginning of XXI centuries created the scientific school in the field of organizational and economic modeling, econometrics and statistics. The same name section of the department oversees the teaching of the relevant disciplines. The Laboratory of economic and mathematical methods in controlling of the Research and Education Center "Controlling and innovation in management" of Bauman Moscow State Technical University conducts research in this domain. This article is devoted to the activities of the scientific school, conducting research, and some of the results. We start with a discussion of the definitions of terms, which we use. Organizationaleconomic modeling - scientific, practical and academic discipline which devoted to the development, research and application of mathematical and statistical methods and models in economics and management of the national economy, especially in economics and management of industrial enterprises and their associations. The term "economic-mathematical methods and models" has close content. Statistical methods in economics - the subject of econometrics, the base of which is applied statistics. Organizational-economic modeling and econometrics are discussed as a theoretical and practical trainings and discipline. We developed textbooks and manuals on the organizational and economic modeling, econometrics and statistics. We have conducted theoretical research and development of applications in the field of organizational and economic modeling. In particular, the prediction is regarded as one of the management functions in industry. We study the problem of stability in the models and methods of development of strategy of the enterprise. For prospective organizational and economic mechanisms of management of industrial and economic activities, we proposed design based on solidary information economy

We have a number of studies on the problems of the development of organizational and economic support for control tasks in the aerospace industry, primarily in the field of project management development of rocket and space technology. This article aims at summing up the preliminary results of the research cycle. Since the core funding of space activities in Russia is carried out in accordance with approved government bodies targeted programs from the state budget, among the indicators of financial and economic activities of enterprises should focus not maximize profits, and decrease costs. We must estimate of the feasibility of projects in the field of space activities, primarily on the scientific and technical feasibility and the socio-economic needs, and resource provision. What is important is the analysis of all types of resources - material, production, human resources, time, and not just financial. As a basic organizational and economic theory we suggest the use of solidary information economy, high-tech management, controlling, developed on the basis of a new paradigm of mathematical methods of economics, especially econometrics, decision theory, organizational and economic modeling. In project management to create rocket and space technology should take into account the risks of their implementation. In estimation of the feasibility of such projects there should be an analysis of risk assessment, as well as the use of modern statistical and expert methods of forecasting the dynamics of technical and economic indicators project. As practice shows, we have to develop new organizational-economic and economicmathematical models and methods. It is necessary to build a knowledge base in the art and to adequately fill it with modern knowledge based on scientific data of the Russian index of citing. In connection with the duration of the projects of development of rocket and space technology, we note the need to take account of inflation in the planning and evaluation of the financial and economic activities of enterprises, organizations and industry as a whole

In this article we propose a general theoretical model of estimation of the feasibility of an innovation-investment project. For specifying a general model to estimate the feasibility of a project we have highlighted the stages of development of projects in the aerospace industry. Organizational-economic approaches to estimation of the feasibility of projects to create rocket and space technology are presented in terms of algorithms. They take into account the specifics of the space industry, by virtue of which such projects have both innovative and investment components

The management was established in Bauman Mos-cow State Technical University. The core of the economic theory is engineering economics, above all - product lifecycle management, controlling and organizational-economic modelling. The article illustrates how economists and managers can help teams to achieve innovation