Bauman Moscow State Technical University
Author list of organization
List of articles written by the authors of the organization
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NONPARAMETRIC KERNEL ESTIMATORS OF PROBABILITY DENSITY IN THE DISCRETE SPACES
01.00.00 Physical-mathematical sciences
DescriptionSome 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
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NON-PARAMETRIC CYCLES ESTIMATORS
01.00.00 Physical-mathematical sciences
DescriptionIn many applications, we study the time series (or a random process), which is the sum of the periodic deterministic function of time and random errors that distort the periodic signal. It is required to estimate the length of the period and the periodic component. It does not assume that the periodic function is included in any parameter family of functions, such as finite sums of sines and cosines. It is obvious that the assumption of occurrence of a periodic function in parametric family does not meet the characteristics of the real world, ie, is conditional, internal mathematical (look for the keys under the lamp because there is a light, not in the bush, where lost, because there are dark). For similar reasons, it is impossible to assume that the distribution function of the random errors is included in any parameter family of distributions. In accordance with the new paradigm of mathematical statistics in this article we studied the problem of nonparametric estimation (minimum) length of the period and the periodic component of the signal. On the basis of natural variation and scope of indicators is suggested a new class of nonparametric estimators of the length of the period and the periodic component in the time series. Based on the general results of statistics of objects of non-numeric nature we proved the consistency of these estimates. From the practical point of view it is necessary to minimize the numerical (one parameter - ability length of period of time) one or more of the 66 functionals, described in the article
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01.00.00 Physical-mathematical sciences
DescriptionIn 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
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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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01.00.00 Physical-mathematical sciences
DescriptionAdequate and effective assessment of the efficiency, effectiveness and the quality of scientific activities of specific scientists and research teams is crucial for any information society and a society based on knowledge. The solution to this problem is the subject of scientometrics and its purpose. The current stage of development scientometrics differs greatly from his previous appearance in the open as well as paid on-line access to huge amount of detailed data on a large number of indicators on individual authors and on scientific organizations and universities. The world has well-known bibliographic databases: Web of Science, Scopus, Astrophysics Data System, PubMed, MathSciNet, zbMATH, Chemical Abstracts, Springer, Agris, or GeoRef. In Russia, it is primarily the Russian scientific citing index (RSCI). RSCI is a national information-analytical system, accumulating more than 9 million publications of Russian scientists, as well as the information about citation of these publications from more than 6,000 Russian journals. There is too much information; it is so-called "Big data". But the problem is how to make sense of these large data, more precisely, to identify the meaning of scientometric indicators) and thus to convert them into great information ("great information"), and then apply this information to achieve the objective of scientometrics, i.e. to transform it into a lot of knowledge ("great knowledge") about the specific scientists and research teams. The solution to this problem is creating a "Scientific smart metering system" based on the use of the automated system-cognitive analysis and its software tools – an intellectual system called "Eidos". The article provides a numerical example of the creation and application of Scientometric intelligent measurement system based on a small amount of real scientific data that are publicly available using free on-line access to the RSCI
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SCIENCE AS THE OBJECT OF MANAGEMENT
DescriptionScience is considered as a branch of the national economy. We discuss the relationship of areas of human activity, applied science and fundamental science. As an example, the development of the fundamental theory of decision-making and expertise are considered in the implementation of applied researches in the aviation and rocket-space industry. Is emphasized that the major achievement in science - the novelty of the results. We discuss the problem of estimation the effectiveness of scientific activity, the advantages and disadvantages of estimates based on bibliometric databases and citation indices, we show the basic role of expert technologies. Is examined the role of globalization and patriotism in the development of science. Is substantiated the principal difference between acquiring knowledge and promote research results. We consider it necessary to conduct detailed studies into the science of science and development based on these science-based recommendations for the management of science
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OPTIMIZATION MODEL FOR MOMENTS OF OUTPUT OF NEW MODELS OF PRODUCTS TO THE MARKET
DescriptionOne 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
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A MODEL OF THE CONFLICT LINGUISTIC PERSONALITY IN EVERYDAY CONFLICT DISCOURSE
10.00.00 Philological sciences
DescriptionThe aim of the study is to describe the concept of conflict linguistic personality and construct a model of linguistic identity. By summing up common features of the individual personalities we have created the model of conflict linguistic personality, based on three levels: verbal-semantic, cognitive and pragmatic. 1. Verbal - semantic level. Unlike other subtypes of conflict discourse, everyday conflict discourse is characterized by slang, invective, obscene vocabulary. Another feature of everyday conflict discourse is familiarity. Imperatives are also among the characteristic features of conflict. There are also some non-verbal components that play an important role in constructing the model of conflict linguistic personality, such as gestures and mimicry. 2. Cognitive level. Typical conflict linguistic personality rarely tries to mince the words at the peak of the conflict, so his/her cultural level comes "through the language." 3. Pragmatic level. On this level diverse and even opposing tactics are possible depending on the purpose of conflict linguistic personality, as well as his/her social role and psychological state at the moment. The cooperative tactics include: acceptance, conviction, compassion, assignment, promise, etc. Noncooperative tactics include: mockery, accusation, insults, threats, pressure, interruption, provocation
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TECHNOLOGY TRANSFER MODELS BETWEEN THE DEFENSE AND CIVIL SECTOR OF ECONOMY
08.00.13 Mathematical and instrumental methods of Economics
DescriptionThe article considers the problem of increasing the efficiency of budget expenditures due to the transfer of military technology to the civilian sector of the economy. An analysis of foreign experience has shown that private companies are widely involved in a number of states to solve some of the infrastructure problems in the military sphere. In the USA, private companies provide communications and provide other information services to state power structures, which makes it possible to develop private business on the one hand and save budget expenses on the other. An analysis of domestic experience has shown that the use of military technologies for the production of civilian products and services in some cases can significantly save time and other resources. A model for the interaction of civilian companies with the defense complex and a diffusion model of military technologies have been developed. The article proposes creation of new structures that solve the problems of adapting military technologies to the requirements of civilian customers, as well as a database of adapted technologies and a technical investment center that supports small and medium-sized enterprises in the acquisition of equipment and technical documentation. The authors believe that the approaches proposed in the article to solving the problem of technology transfer will stimulate innovative activity in the country, reduce import dependence and increase the efficiency of budget expenditures
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Description
In many areas - the economy, quality management, medicine, the ecology, in safety of flights and others - the problems of analysis, estimation and management of risks have much in common. Therefore, we consider it necessary to develop a general theory of risk. Approaches and methods of this theory will allow in the future solving problems of uniform risk management in specific subject areas. Based on the analysis of scientific publications and industry regulations it must be noted that private risk theories tend to become isolated within themselves, create their own internal standards and systems of regulations. Separately - for banking, separately - for safety, separately - for industrial accidents, etc. In order to construct a general theory of risk we analyze use of the term "risk" in various fields, consider the variety of types of risks, give the basic definitions in the field of analysis, estimation and management of risk. We discuss planetary risks (at Earth as a whole), global risks (at the level of one or more States), financial risks, commercial risks (risks at the level of the immediate environment of the company), and production (internal, operational) risks relating to the activities of individual enterprises (organizations), personal risks. Instruments of total risk theory allow us equally solve the basic problems of analysis, estimation and management of risk for all areas