Bauman Moscow State Technical University
Author list of organization
List of articles written by the authors of the organization
-
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
-
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
-
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
-
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
-
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
-
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
-
Description
The main factors influencing the innovative development of the domestic science-intensive sector of the economy, were identified and studied in the work. The authors singled out two groups of factors, internal and external, determining their composition and interrelationship. The paper focuses on one of the segments of the knowledge-intensive market of products and services - space activities. In the postwar period, Russia firmly maintained leadership in virtually all areas of the industry, however, economic and political reforms intensified the negative impact of financial and economic factors, which significantly retarded the technological development of the space industry. The paper studies the influence of environmental, technological, financial, economic and other factors affecting the development of knowledgebased enterprises. A graphical and economicmathematical multi-factor model for the innovative development of knowledge-intensive enterprises involved in the implementation of space programs is constructed. The methods of expert assessments determined the influence of each factor on the development of space activities: - the production of launch vehicles, space vehicles, ground-based space technology and the provision of services. The received estimations of influence of factors will find application at formation of programs of innovative development of the high technology enterprises
-
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
-
CHARACTERIZATION OF MODELS WITH DISCOUNTING
08.00.13 Mathematical and instrumental methods of Economics
DescriptionAmong the widely used economic-mathematical models, dynamic programming plays an important role, and among them, models with discounting. The most famous example is the model for calculating the net present value (NPV) as an estimate of the efficiency of the investment project. In the article, it is clarified which features are distinguished by models with discounting among all models of dynamic programming. In models with discounting, the comparison of plans does not change when the time of the beginning of the implementation of plans changes, ie. there is a stability of the results of comparing plans. It is proved that if the results of comparing plans for 1 and 2 steps are stable in the dynamic programming model, then this model is a model with discounting. This theorem shows that the introduction of discounted functions for the estimation of the effect is justified only in stable economic conditions in which the orderliness of managerial decisions does not change from year to year. In other words, if at the beginning of the period under consideration the first solution is better than the second, then at all other times, up to the end of the period under consideration, the first solution is better than the second. Stable economic conditions are rarely found in the modern economy with its constant changes, including those caused by innovations. Therefore, the decision to choose (to implement) an investment project from a set of possible ones can not be based solely on the calculation of discounted project performance indicators, such as net present value and internal rate of return. Such indicators can only play a supporting role. Decide on the choice of an investment project for implementation is necessary on the basis of the whole range of social, technological, environmental, economic, political factors
-
CHARACTERIZATION OF AVERAGE VALUES BY MEANS OF MEASUREMENT SCALES
01.00.00 Physical-mathematical sciences
DescriptionAccording to measurement theory, statistical data are measured in various scales. The most widely used ordinal scale, scales of intervals and relations. Statistical methods of data analysis should correspond to the scales in which the data is measured. The term "correspondence" is specified with the help of the concepts of an adequate function and an allowable scale transformation. The main content of the article is a description of the average values that can be used to analyze data measured in the ordinal scale, interval and relationship scales, and some others. The main attention is paid to the means for Cauchy and the means for Kolmogorov. In addition to the mean, from this point of view, polynomials and correlation indices are also analyzed. Detailed mathematical proofs of characterization theorems are given for the first time in scientific periodicals. It is shown that in the ordinal scale there are exactly n average values, that can be used, namely, n order statistics. The proof is represented as a chain of 9 lemmas. In the scale of intervals from all Kolmogorov means, only the arithmetic mean can be used. In the scale of relations from all the Kolmogorov means, only the power means and the geometric mean are permissible. The kind of adequate polynomials in the relationship scale is indicated