Scientific Journal of KubSAU

The general scheme of modern statistical science is just like this. Mathematical Statistics is a part of mathematics that studies the statistical structure (it itself does not give recipes analysis of statistical data, however, it is developing methods that are useful for use in theoretical statistics). Theoretical Statistics - the science dedicated to the models and methods of analysis of concrete statistical data. Applied Statistics (in the narrow sense) is devoted to the statistical techniques of data collection and processing (it includes the methodology of statistical methods, the organization of sample surveys, the development of statistical techniques, the creation and use of statistical software). Applications of statistical methods in concrete fields (in economics and management - Econometrics, in biology - Biometrics, in chemistry - Chemometrics, in technical research - Technometric, in geology, demography, sociology, medicine, history, etc.). Often positions 2 and 3 together are called Applied Statistics. Sometimes position 1 is called Theoretical Statistics. These terminological differences are related to the fact that the above-described development of the considered scientific and applied field not once, not completely and not always adequately reflected in the minds of experts. Meanwhile, there are still textbooks of appropriate level of representation of the mid-twentieth century. The article analyzes the post-war development of the national statistics. We have identified five "growth points": nonparametrics, robustness, bootstrap, statistics of interval data, and statistics of non-numeric data. We have discussed content, development and the basic ideas of statistics of nonnumeric data. We have given a number of unresolved problems of theoretical and applied statistics

We have given a critical analysis of statistical models and methods for processing text information in historical records to establish the times when there were certain events, ie, to build science-based chronology. There are three main kinds of sources of knowledge of ancient history: ancient texts, the remains of material culture and traditions. The specific date of the extracted by archaeologists objects in most cases can not be found. The group of Academician A.T. Fomenko has developed and applied new statistical methods for analysis of historical texts (Chronicle), based on the intensive use of computer technology. Two major scientific results were: the majority of historical records that we know now, are duplicated (in particular, chronicles, describing the so-called "Ancient Rome" and "Middle Ages", talking about the same events); the known historical chronicles tell us about real events, separated from the present time for not more than 1000 years. It was found that chronicles describing the history of "ancient times" and "Middle Ages" and the chronicle of Chinese history and the history of various European countries do not talk about different, but about the same events. We have the attempt of a new dating of historical events and restoring the true history of human society based on new data. From the standpoint of statistical methods of historical records and images of their fragments – they are special cases of non-numeric objects of nature. Therefore, developed by the group of A.T. Fomenko computer-statistical methods are the part of non-numerical statistics. We have considered some methods of statistical analysis of chronicles applied by the group of A.T. Fomenko: correlation method of maximums; dynasties method; the method of attenuation frequency; questionnaire method codes. New chronology allows us to understand much of the battle of ideas in modern science and mass consciousness. It becomes clear the root cause of cautious attitude of the West towards Russia

Forecasting of scientific and technical progress is necessary to make grounded management decisions. In this article, we forecast the development of information and communication technologies in order to solve a particular but important issue of design of professional standards in the aerospace industry. We identify the factors affecting the development of information and communication (computer) technologies, with their help determine the trends of development of these technologies over the next two decades. The main trend - the maximum cheaper production of computer (or network) components, combined with an increase in their capacity. One way to reduce the cost of production is the "centralization" - combining several components into one. The third trend - the desire to reduce the size of computers. The size of a future computer could be a device the size of a pencil, a pin or button, as the system unit has a negligible size, keyboard and display are virtual, transfer any amount of information through a virtual office online. The development of secure free copying will lead to increased use of this free software and technologies "rental program" over the Internet. We predict an increase in reliability and intensive programs while maintaining the general principles of the interface. Revolutionary changes are expected production (machines, sensors), and household appliances

The article analyzes the development of the theory of statistical control (from the XVIII century to the present). Prof. M.V. Ostrogradskii (1846) clearly describes the practical needs (ie, arising from the quality assurance of large quantities of bags of flour or pieces of cloth), to meet whom he spent his research. At the same time Simpson was among the ideas of probability theory XVIII century. Therefore prof. M.V. Ostrogradskii may be regarded as the founder of the theory of statistical process control (not only in our country but all over the world). Limit theorems of probability theory and mathematical statistics have provided a number of asymptotic results in problems of statistical quality control, offer based on these best practices. However, we must find out how much interest among specialists characteristics are different from limit for finite sample sizes. Such research for the synthesis algorithm control plan on the basis of the limit average output level of defects is made in this article, and for the synthesis algorithm control plan on the basis of the acceptance and the rejection levels of defects - not yet (clarification of the conditions of applicability of this algorithm - unsolved problem of applied mathematics). We have briefly reviewed the development of our researches on the statistical control. Control units can be not only some units of production, but also documents (with internal and external audit), and standard units of air, water and soil in the environmental monitoring. One of the achievements can be regarded as the transfer of statistical control of production for environmental monitoring

Statistical methods are widely used in domestic feasibility studies. However, for most managers, economists and engineers, they are exotic. This is because modern statistical methods are not taught in the universities. We discuss the situation, focusing on the statistical methods for economic and feasibility studies, ie, econometrics. In the world of science, econometrics has a rightful place. There are scientific journals in econometrics, Nobel Prizes in Economics are awarded to series of researches in econometrics. The situation in the field of scientific and practical work and especially the teaching of econometrics in Russia is disadvantaged. Often, individual particular constructions replace econometrics in general, such as those related to regression analysis. In econometrics we select three types of scientific and applied activities: development and study of methods of applied statistics, taking into account the specifics of economic data; development and study of econometric models, in accordance with the specific needs of economic science and practice; the use of econometric methods for statistical analysis of specific economic data. This article describes these three types of scientific and applied activities. We discuss the specificity of economic data. We show the importance of economic non-numeric values. We discuss the statistics of interval data - scientific direction at the joint of metrology and statistics. We give the representation of the econometric models. Problems of application of econometric methods are considered as an example of inflation. We discuss the statistics and econometrics as the field of scientific and practical activities. We have examined econometric methods in practical and training activities

Intuitively everyone understands that noise is a signal in which there no information is, or which in practice fails to reveal the information. More precisely, it is clear that a certain sequence of elements (the number) the more is the noise, the less information is contained in the values of some elements on the values of others. It is even stranger, that noone has suggested the way, but even the idea of measuring the amount of information in some fragments of signal of other fragments and its use as a criterion for assessing the degree of closeness of the signal to the noise. The authors propose the asymptotic information criterion of the quality of noise, and the method, technology and methodology of its application in practice. As a method of application of the asymptotic information criterion of noise quality, we offer, in practice, the automated systemcognitive analysis (ASC-analysis), and as a technology and software tools of ASC-analysis we offer the universal cognitive analytical system called "Eidos". As a method, we propose a technique of creating applications in the system, as well as their use for solving problems of identification, prediction, decision making and research the subject area by examining its model. We present an illustrative numerical example showing the ideas presented and demonstrating the efficiency of the proposed asymptotic information criterion of the quality of the noise, and the method, technology and methodology of its application in practice

In the training courses on the theory of probability and mathematical statistics there are various parametric families of distributions of numerical random variables considered. Namely, we have been studying the families of normal distributions, log-normal distributions, exponential distributions, gamma distributions, Weibull-Gnedenko distributions, etc. All of them depend on one, two or three parameters. Therefore, for a complete description of the distribution it is sufficient to know or estimate one, two or three numbers. Parametric theory of mathematical statistics is widely developed, where it is assumed that the distribution of observations belong to one or another parametric family of distributions. This tradition comes from Karl Pearson, who in the early twentieth century proposed the use of four parametric family of distributions. The above families of distributions - are the subsets of a four-parametric family of Pearson. Unfortunately, parametric families exist only in the minds of the authors of textbooks on probability theory and mathematical statistics. In real life, they are not. Therefore, modern applied statistics and econometrics mainly use non-parametric methods, in which the distribution of observations can have arbitrary form. First, on an example of a normal distribution, we are discussing the impossibility of practical use of parametric families of distributions to describe specific statistical data. We give the results of research of metrologists and estimation of convergence in limit theorems. Then we discuss how the parametric methods can use for reject outlying observations. It is very unstable the significance levels for a fixed rejection rule and the parameter of the rejection rules for a fixed level of significance. Consequently, the rejection of the classic rules of mathematical statistics is not sciencebased

The actuality of ecological issues was realized about 50 years ago. The highlight of the ecological movement to protect the environment has been, in our estimation, the United Nations Conference on Environment and Development (Rio de Janeiro, 1992), which adopted the concept of sustainable development. After 1992 the interest in ecology of broad masses was decreased slightly, although the environmental problems are not only remained, but appeared to a greater extent. However, now there is a legal basis for their decisions. Particularly, enterprises must have a certified environmental management system; otherwise they will be unable to compete in international markets. Awareness by humanity of need for environmental protection has led, in particular, to the deployment of scientific research in the field of ecological safety studies. Therefore, we have found that it is necessary and useful to report about the research of our team on this subject. Ecological security issues are highly relevant to the energy sector, in particular for gas enterprises. As an example of the new scientific results we discuss the innovative approach to the disposal of drilling waste. The basic idea - the use of underground non-enveloped tanks in permafrost soil for disposal of drilling waste. Permafrost is typically a negative impact on economic development, but in this situation it is the determining factor for a positive role, enabling lower costs to ensure ecological safety and, consequently, improve the competitiveness of domestic enterprises in the global gas market. This article is devoted to methods of dumping drilling waste and the problems that arise in their burial place. We discuss various methods of waste disposal, their advantages and disadvantages, as well as the impact on the environment

Sociology is one of the most important social sciences. Mathematical and primarily statistical methods are effective intellectual tools of sociologists. Let us analyze the work of the author of this article on the development of statistical methods to meet the challenges of sociology. Then we give the review of development of statistical methods in Russian sociology for 45 years (1970-2015). The basic scientific events of these years, first of all, were formation of applied statistics and its basis - statistics of the non-numerical data (in sociology of 70-90% of variables have non-numerical nature). Over the last 30 years, the Russian sociology has been growing rapidly in all quantitative parameters. Clearly, the depth of investigation gives the use of advanced scientific apparatus - methodology and methods of data collection and analysis, mathematical models. In our view, a fundamental breakthrough was made in our country in the 1970s. It was then in the arsenal of Russian sociologists appeared measurement theory and fuzzy sets, mathematical methods of classification and multidimensional scaling, nonparametric statistics and statistics of non-numeric data. In subsequent decades it has been a natural development of scientific apparatus. The same mathematical and statistical methods and models can be successfully applied in various fields of science and practice. Statistical methods and models are very effective in sociological, socio-economic, managerial, technical and feasibility studies, medicine, history, in almost any industry and application areas of knowledge. Within this field, the main event of the last thirty five years - is becoming a scientific and practical discipline "Applied Statistics", dedicated to the development and application of statistical methods and models. An analysis of the dynamics of applied statistics leads to the conclusion that in the XXI century the statistics of non-numerical data is becoming a central area of applied statistics, as it contains the most common approaches and results

We should have trained staff to implement innovative strategies. Therefore, it is natural, that a lot of attention is paid to the staffing of the management processes of innovative activity at the enterprises of the rocket and space industry (RCP). Training and human resources management in accordance with current legislation should be based on professional standards. The content of professional standards should reflect the results of forecasting scientific and technical progress in the field, for example, in the RCP. It is necessary to forecast trends in the use of information and communication technologies in solving management problems in the socio-economic sphere in order to reflect these developments in professional standards. The approach to solving this problem is the subject of this article. What should the professional standard be like in the RCP? The main problem lies in the fact that although the standard is to be enacted in the near future, its actual impact on the industry will start in 5 - 10 years and will continue for at least another 10 years, ie, until the 2030s. Professional standards should come from "Education through Science" concept, ie, knowledge, skills, competences, provided by a professional standard, should be based on modern scientific achievements. For example, mathematical methods of research should be based on a new paradigm in the area of knowledge and statistical data analysis methods must meet high statistical techniques. For the development of professional standards in the field of the RCP it is necessary to predict the characteristics of the qualification (level of knowledge, skills and experience) required the employee to carry out professional activities in the RCP in 2020 - 2030. Modern information and communication technologies are creating a fundamentally new situation in the organization of the economy. We have an ability to manage the work of organizational units, scattered throughout the world, from a single center. The requirement of presence in the workplace is mainly a relic of the past. We have a lot of advantages in a remote work