Bauman Moscow State Technical University
Author list of organization
List of articles written by the authors of the organization
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Description
The requirements for the project design stages of creating rocket and space technology are specified. The algorithm of estimation the feasibility of such projects is proposed based on their innovation and investment components
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THE GROWTH POINTS OF STATISTICAL METHODS
01.00.00 Physical-mathematical sciences
DescriptionOn the basis of a new paradigm of applied mathematical statistics, data analysis and economic-mathematical methods are identified; we have also discussed five topical areas in which modern applied statistics is developing as well as the other statistical methods, i.e. five "growth points" – nonparametric statistics, robustness, computer-statistical methods, statistics of interval data, statistics of non-numeric data
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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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THEORY OF EXPERT ESTIMATES IN OUR COUNTRY
01.00.00 Physical-mathematical sciences
DescriptionIs given the analysis of the development of expert estimates in our country after the war. Are presented a diversity of expert technologies, the main ideas and publications that help identify the driving forces of development in this promising scientific and practical field
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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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01.00.00 Physical-mathematical sciences
DescriptionLusian - dichotomous data model as a finite sequence of independent Bernoulli trials with, generally speaking, different probabilities of success. The tasks of statistical hypothesis testing, classification, averaging lusians are discussed. In accordance with the requirements of practice the problems are considered primarily in the asymptotic behavior of increasing dimension, in which the number of unknown parameters increases in proportion to the size of data. The method of testing hypotheses on set of small samples and the theory of unbiased statistical estimates were proved to be useful
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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
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EXISTENCE OF ASYMPTOTICALLY OPTIMAL PLANS IN DISCRETE PROBLEMS OF DYNAMIC PROGRAMMING
08.00.13 Mathematical and instrumental methods of Economics
DescriptionDynamic programming is designed to solve discrete optimal control problems. According to this method, the optimal solution in a multidimensional problem is found by decomposing it into stages, each of which represents a subproblem with respect to one variable. In economic problems, the number of stages is the planning horizon. The choice of a planning horizon is necessary for a rigorous statement of the applied problem in the field of economics and management, but it is often difficult to justify. We see a way out in the use of asymptotically optimal plans for which the values of the optimization criterion differ little from its values for optimal plans for all sufficiently large planning horizons. The main result of the paper is the existence of an asymptotically optimal plan. The proof is carried out in several statements. If the sum of the maximums of the transition functions tends to 0, the existence of an asymptotically optimal plan is obtained in Theorem 1. A special case is models with a discount at a discount coefficient less than 1. The main part of the article is devoted to models with a discount coefficient equal to 1. Theorem 2 on the highway is proved for base set of a finite number of elements. In Theorem 3, a statement is obtained on the approximation of an arbitrary set by a finite one. In the final Theorem 4, the existence of an asymptotically optimal plan is proved in the general case. The term “magistral” is associated with a well-known recommendation to drivers: in order to get from point A to point B, it is advisable to go to the highway (magistral) at the initial section of the road, and then exit the highway and get to point B. The recommendation for choosing the optimal one is similar trajectories using the Pontryagin maximum principle in the model of the optimal distribution of time between obtaining knowledge and developing skills. This fact underlines the methodological proximity of dynamic programming and the Pontryagin maximum principle
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STRATEGY OF RETRO INNOVATIONS IN IMPORT SUBSTITUTION
08.00.13 Mathematical and instrumental methods of Economics
DescriptionUnfavorable changes in exchange rates, sanctions restrictions on the supply to Russia of spare parts necessary for the repair and maintenance of previously imported equipment have led to a significant reduction in the service life of imported machinery and equipment. For the solution, the authors propose to implement the strategy of retro-innovations providing the development of new technologies maintaining in working condition of machinery and equipment in conditions of shortage of spare parts and consumables. To do this, it is necessary to develop technologies for the restoration of complex technical devices in order to extend their service life under the restrictions created by the financial market and sanctions policy. The study of the problem was carried out on the example of the operation of trucks of foreign production, the evaluation of engine life and analyzed the structure of the market. On the basis of the obtained results, a model was proposed, on the basis of which it is possible to form a plan for the production of spare parts for high-quality engine repair by domestic enterprises. The strategy of retro-innovations does not solve all the problems of import substitution, but it allows to increase the level of economic security of strategically important economic activities, it creates jobs and provides an opportunity to significantly extend the life of expensive and complex technical devices
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STATISTICAL ESTIMATION FOR THE GROUPED DATA
01.00.00 Physical-mathematical sciences
DescriptionThe probabilistic model of grouping data (including multidimensional data) is described. We have also generalized Euler-Maclaurin’s formulas. With its help Sheppard’s corrections and corrections on grouping for correlation coefficient are received. We have found and studied asymptotical corrections on grouping data generally. Accuracy of approach has been estimated