Scientific Journal of KubSAU

In the USSR higher attestation Commission from 1975 to the collapse of the USSR was subordinated not to the Ministry of education and science, but to the Council of Ministers of the USSR directly. However, since then there is a steady trend of gradual reduction of the status of the Commission. Today it is not just included in the Ministry of education, it is just one of the units of one of its structures: the Rosobrnadzor. Reduced status of the HAC inevitably leads to a decline in the status and in the adequacy of scientific degrees assigned as well as scientific ranks. This process of devaluation of traditional academic degrees and titles assigned to the HAC, has reached the point when a few years ago there were abolished salary increments for them. Now, instead of that, every university and research institutes have developed their local, i.e. non-comparable with each other scientometric methods of evaluation of the results of scientific and teaching activities. Despite the diversity of these techniques, there is a common thing among all of them, which is the disproportionate role of the h-index. The value of the Hirsch index starts to play an important role in the protection, when considering competitive cases for positions, as well as in determining the monthly rewards for the results of scientific and teaching activities. By itself, this index is well founded, theoretically. However, in connection with the practice of its application in our conditions, in the collective consciousness of the scientific community there was a kind of mania, which the authors call the "Hirschmania". This mania is characterized by elevated unhealthy interest to the value of the Hirsch index, as well as incorrect manipulation of its value, i.e. inadequate artificial exaggeration of this value, as well as a number of negative consequences of that interest. In this study we have made an attempt to construct a quantitative measure for assessing the extent of improper manipulation of the value of the Hirsch index, and offered a science-based modification of the h-index, insensitive (resistant) to the manipulation. The article presents a technique for all the numerical calculations, which is simple enough for any author to use

We have analyzed the current state of the main computer-statistical methods, identified achievements and existing problems, outlined the prospects of further movement and formulated the problems to be solved. We have also discussed the Monte Carlo methods, pseudo-random numbers, simulation, bootstrap and resampling, the automated system-cognitive analysis. We have considered the applications of computer statistics in controlling and properties of statistical packages as the tools for researchers

Science 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

The purpose of mathematical statistics is development of methods for the data analysis intended to solve applied problems. Over time, approaches to the development of data analysis methods have changed. A hundred years ago, it was assumed, that the distributions of the data have a certain type, for example, they are normal distributions, and on that assumption they developed a statistical theory. The next stage, in the first place in theoretical studies there are limit theorems. By "small sample" we mean a sample, which can not be applied to conclusions based on the limit theorems. In each statistical problem there is a need to divide the final sample sizes into two classes - those for which you can apply the limit theorems, and those for which you can not do it because of the risk of incorrect conclusions. To solve this problem we often used the Monte Carlo method. More complex problems arise when studying the effect on the properties of statistical procedures for data analysis of various deviations from the original assumptions. To study such impact, we often used the Monte Carlo method as well. The basic (and not solved in a general way) problem of the study of the stability of the findings in the presence of deviations from the parametric families of distributions is the problem of choosing some distributions for using in modeling. We consider some examples of application of the Monte Carlo method, relating to the activities of our research team. We have also formulated basic unsolved problems

One 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

Inexpediency of use of probability of correct diagnostics as a quality indicator of diagnostic algorithm is shown. The new indicator - the prognostic strength based on Mahalanobis distance between classes is offered and studied. We have found asymptotic distribution of the prognostic strength; the way of testing of adequacy of its application has been specified. In a problem of testing of two simple hypotheses the prognostic strength connection is established with Hellinger distance

On 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

The 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

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

We discuss the reasons for the development of organizational-economic support (OES) in the rocket and space industry (RSI). We have also considered the problems of estimation of the effectiveness of innovation-investment projects and ECO project management to create the rocket and space technics. On the basis of the analysis of the state and prospects of development we have developed the proposals for OES of innovation in RSI