Scientific Journal of KubSAU

Polythematic online scientific journal
of Kuban State Agrarian University
ISSN 1990-4665
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Name

Orlov Alexander Ivanovich

Scholastic degree




Academic rank

professor

Honorary rank

Organization, job position

Bauman Moscow State Technical University
   

Web site url

Email

prof-orlov@mail.ru


Articles count: 123

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165 kb

THE METHOD FOR HYPOTHESIS TESTING BASED ON SET OF SMALL SAMPLES AND ITS APPLICATION IN THE THEORY OF STATISTICAL CONTROL

abstract 1041410003 issue 104 pp. 43 – 57 30.12.2014 ru 707
We have proposed the method for testing of independence of two alternative variables on the basis of statistics of non-numeric data. The method is aimed at application in problems of statistical quality control. Testing of independence is based on set of small samples, i.e., in the Kolmogorov’s asymptotics, when the number of unknown parameters of the distribution increases in proportion to the data size
223 kb

THE NEW CHRONOLOGY OF THE WORLD HISTORY AND THE RUSSIAN HISTORY AS THE BASIS OF STATE-PATRIOTIC OUTLOOK

abstract 1201606003 issue 120 pp. 60 – 85 30.06.2016 ru 136
The relationship of Mathematical Statistics (wider - Mathematical methods of research) and history is multifaceted. In our opinion, the history of mathematical statistics is an integral part of this mathematical discipline. We have given a review of our works on the history of statistical methods. The role of mathematical statistics for the history is very important. In this article, we restrict ourselves to the questions of chronology. For centuries, the chronology is considered as a part of applied mathematics. The main problem is that the whole "common" concept of the Russian and the World history as a whole presented in textbooks was faked by the opponents of Russia after the collapse of the global Empire (Russian kingdom) in the early 17th century - 400 years ago. The stories about historical events are the information weapon. It was used by the new rulers to suppress the resistance of the vanquished. A new mathematical and statistical chronology of general and Russian history, which was built by a scientific team led by Academician Fomenko, has been helpful for the discussion about the current economic and political problems of relations between Russia and the West in the XXI century. In our opinion, the new chronology of the World and Russian history should be one of the foundations of state-patriotic ideology and deriving practical solutions. The purpose of this article is to give the initial idea of the new chronology from this point of view
237 kb

THE PROBLEM OF RESEARCH OF FINAL RANKING FOR GROUP OF EXPERTS BY MEANS OF KEMENY MEDIAN

abstract 1221608055 issue 122 pp. 784 – 805 31.10.2016 ru 190
In various applications, it is necessary to analyze several expert orderings, i.e. clustered rankings objects of examination. These areas include technical studies, ecology, management, economics, sociology, forecasting, etc. The objects can be some samples of products, technologies, mathematical models, projects, job applicants and others. In the construction of the final opinion of the commission of experts, it is important to find clustered ranking that averages responses of experts. This article describes a number of methods for clustered rankings averaging, among which there is the method of Kemeny median calculation, based on the use of Kemeny distance. This article focuses on the computing side of the final ranking among the expert opinions problem by means of median Kemeny calculation. There are currently no exact algorithms for finding the set of all Kemeny medians for a given number of permutations (rankings without connections), only exhaustive search. However, there are various approaches to search for a part or all medians, which are analyzed in this study. Zhikharev's heuristic algorithms serve as a good tool to study the set of all Kemeny medians: identifying any connections in mutual locations of the medians in relation to the aggregated expert opinions set (a variety of expert answers permutations). Litvak offers one precise and one heuristic approaches to calculate the median among all possible sets of solutions. This article introduces the necessary concepts, analyzes the advantages of median Kemeny among other possible searches of expert orderings. It identifies the comparative strengths and weaknesses of examined computational ways
288 kb

THE PROBLEMS OF IMPLEMENTATION OF MATHEMATICAL AND TOOL METHODS OF CONTROLLING

abstract 1071503070 issue 107 pp. 1007 – 1038 31.03.2015 ru 510
Statistical methods are based on the developed theory and demonstrated its usefulness in the sectors of the economy. However, the analysis of the situation in the application of statistical methods shows obvious distress, in which accumulated in our country's scientific potential is not used to the full. As practice shows, it is not enough to develop promising modern theory-based effective mathematical and instrumental methods of controlling. For using such methods in mass, it is necessary that they would be implemented. Management of innovations, i.e. innovation management, quite rightly is currently one of the most debated sections of the economy and the organization of production, of the entire economic science in general. However, the implementation of applied statistics and other statistical methods, more generally, mathematical and instrumental methods of controlling, has its own specifics. It is considered in the article. We have highlighted the developmental vulnerabilities - low scientific level of many individuals applying statistical methods, the lack of organizational structure of applied statistics as a field of applied activities and others. We regret to note that the very idea of the need to establish requirements for the methods of data analysis and project formulations such requirements remained outside the attention of those professionals who need them and were addressed. We have no adequate system of guidance for documents on concrete statistical methods performed on modern scientific level. According to the author, the desired future of applied statistics is reorganization according to the model of Metrology. We have analyzed the application of statistical methods as a specialty. The analysis of state standards on statistical methods and the causes of them blunders are given. We have discussed the status of documents for statistical methods for standardization and quality control. We discuss a new system of "Six Sigma" for implementation advanced mathematical and instrumental methods of controlling
254 kb

THE PROBLEMS OF METHODOLOGY OF PUBLIC POLICY AND MANAGEMENT IN NON-FORMAL INFORMATIONAL ECONOMY OF THE FUTURE

abstract 0881304041 issue 88 pp. 593 – 619 30.04.2013 ru 1214
The basic ideas of non-formal informational economy of the future (NIEF) are analyzed. Its use as the base organizational-economic theory in exchange «economics» is proved. Core of researches in the field of the NIEF is forecasting of development of the future society and its economy, working out of organizational-economic methods and models, necessary for the future and intended for increase of efficiency of managerial processes. The economy is a science how to make, instead of, how to divide profit. The basic kernel of the modern economic theory is an engineering economy
233 kb

THEORETICAL TOOLS OF STATISTICAL METHODS

abstract 1011407014 issue 101 pp. 253 – 274 30.09.2014 ru 555
We 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
239 kb

THEORY OF EXPERT ESTIMATES IN OUR COUNTRY

abstract 0931309114 issue 93 pp. 1648 – 1679 30.11.2013 ru 785
Is 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
281 kb

THEORY OF LUSIANS

abstract 1011407015 issue 101 pp. 275 – 304 30.09.2014 ru 799
Lusian - 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
137 kb

TO THE QUESTION OF MATHEMATICAL METHODS DEVELOPMENT OF CONTROLLING

abstract 1201606002 issue 120 pp. 49 – 59 30.06.2016 ru 149
On the basis of the objective analysis it must be noted that in the arsenal of managers, especially foreign ones, there is practically no fundamentally new methods and tools of controlling. So says the executive director of Russian Association of Controllers prof. S. G. Falco. However, promising mathematical and instrumental methods of controlling actively developed in our country. It is necessary to implement them. For example, managers should be used techniques which discussed in the book by Orlov AI, Lutsenko EV, Loikaw VI "Advanced mathematical and instrumental methods of controlling" (2015). These methods are based on the modern development of mathematics as a whole - on the system interval fuzzy math (see the same named book by Orlov AI and Lutsenko EV, 2014). Considered methods are developed in accordance with the new paradigm of mathematical methods of research. It includes new paradigms of applied statistics, mathematical statistics, mathematical methods of economics, methods of analysis of statistical and expert data in management and control. In the XXI century there were more than 10 books issued, developed in accordance with the new paradigm of mathematical methods of research. The systems approach to solving specific applications often requires going beyond the economy. Very important are the procedures for the introduction of innovative methods and tools. In this article we consider the above research results in their interconnection
209 kb

TWO-SAMPLE WILCOXON TEST - ANALYSIS OF TWO MYTHS

abstract 1041410006 issue 104 pp. 96 – 116 30.12.2014 ru 869
It was established that the two-sample Wilcoxon test (Mann-Whitney test) was designed to test the hypothesis H0: P(X
.