Scientific Journal of KubSAU

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

DISTRIBUTIONS OF REAL STATISTICAL DATA ARE NOT NORMAL

abstract 1171603003 issue 117 pp. 73 – 92 31.03.2016 ru 573
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
148 kb

THE RATIONALE FOR THE USE OF ELECTROMAGNETIC FIELD IN THE PRODUCTION OF SUNFLOWER OIL

abstract 1311707026 issue 131 pp. 260 – 270 29.09.2017 ru 576
In some works, the feasibility of the use of fixed and variable electromagnetic fields of different frequencies and tension in the production technology of sunflower oil are shown, but there is no theoretical justification. The possibility of electromagnetic effects is associated with the presence of polar molecules specific to organic systems. Without prejudice to the role of polar groups of terrestrial circuits, this work tries to address this challenge more comprehensively. The reason for this is the distinctive feature of the behavior of sunflower during its flowering. This characteristic is that the sunflower hat during the day changes its direction in accordance with the direction of movement of the Sun across the sky; so called "magnetism" of their attraction. To justify this effect, we have analyzed the essence of emitted photons, the Sun chemical composition and structure arrangement of seeds in a sunflower hat. Particles of light from the Sun represent a stream of photons - a wide range of electromagnetic waves of frequencies that exhibit and magnetic properties. The article shows principal macro- and micronutrients of sunflower raw materials and divides them into groups of para- , dia- , and ferromagnetic materials. In sunflower seeds, there are chemical elements: diamagnetism-C, H, N, P, S, B, Cu, Zn, J; paramagnetism-O, K, Ca, Mg, Mo, As and ferromagnetic-iron (Fe). As there is resultant force of the magnetic attraction between the sunflower hat and magnetic flow of photons from the Sun, this effect dominates the action of paramagnetics K2O ( -28.4 24.5%), CaO (7.6-17.0)%, MgO (12.3-17.9%), magnetized in an external magnetic field in the direction of the field. The presence of evident effect demonstrates that it is possible to improve a number of technological operations in the manufacture of sunflower oil using electrical, magnetic or electromagnetic fields
202 kb

MATHEMATICAL MODELS OF MEDICALECONOMIC CONTROL OF DRUGS PRESCRIPTION

abstract 1191605063 issue 119 pp. 877 – 888 31.05.2016 ru 577
The federal program on essential drugs provision (EDP) is one of the most significant and socially important state projects; it is directed to the reduction of morbidity and mortality together with the improvement of life quality of the society and its social climate. In accordance with the federal law “On social state assistance” from 17.07.1999 №178- FL, the essence of the program is that medical recipes are dispensed for preferential medicines to be received by federal program participants. The medical-economic control (MEC) of the drugs designation and provision of federal benefit recipients is performed basing on the automated registries examination of released drugs. The number of passed and failed examination recipes is determined according to the registers processing results. A certain percentage of the accepted for payment prescriptions is a subject for MEC. For the purpose of the recipes selection for testing, the paper proposes the mathematical models of criteria application and MEC-planning. The game model of organization and MEC performance in health care organizations is build basing on the theory of games. The considered play model suggests that the health services quality examination need to be adjusted and some strategies are to be improved. The solution on the planning of checked recipes number allows to perform the inspection of all the health care organizations, involved in EDP program
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 580
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
272 kb

ECONOMETRICS AS AN ACADEMIC DISCIPLINE

abstract 1281704050 issue 128 pp. 678 – 708 28.04.2017 ru 582
Statistical methods are widely used in domestic feasibility studies. However, for most managers, economists and engineers, they are exotic. This is due to the fact that 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 given 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. The article is devoted to econometrics as an academic discipline. Our course begins with a discussion of the structure of modern econometrics, the connections between applied statistics and econometric methods. We consider sample researches (analysis of surveys results), the elements of econometrics numbers, and methods of testing of statistical hypothesis about homogeneity. We have given the concepts of regression analysis, econometric classification methods, modern measurement theory. The important places are occupied by the statistics of non-numerical data (including fuzzy sets and their links with random sets) and the statistics of interval data. The problem of the stability of statistical procedures with respect to the tolerances of input data and model prerequisites is discussed. The representations of the econometric methods of expert research and quality control, analysis and forecasting of time series, econometrics of forecasting and risks are given
215 kb

MAGNETIC PARTICLES` FORMATION IN CONDITIONS OF THE LOW-TEMPERATURE PLASMA AND MAGNETIC FIELD

abstract 1271703055 issue 127 pp. 791 – 802 31.03.2017 ru 584
Chemical processes are often connected with use or formation of condensed dispersed phase (CDP). Dispersed particles can change mobility of charges, as well as other parameters of the low-temperature plasma. The aim of this work is to study the effect of magnetic field on the processes of dispersed particles formation in argon-oxygen plasma containing iron and carbon atoms at atmospheric pressure. The equilibrium composition of iron and carbon atoms containing mixture simulated at temperatures of 1000-5000K for optimization of the plasma-forming gas composition. It is shown that in case of oxygen excess, the CDP particles contain only iron oxides. The literature data about the phase transition processes in a low-temperature plasma, as well as the data about the processes with participation of ferromagnetic particles in a constant magnetic field analyzed. The results of investigations of the dispersed particles forming in argon-oxygen plasma of arc discharge in the presence and in the absence of the magnetic field are shown. The formed disperse phase was deposited on the substrates and studied by the electron microscopy and X-ray methods. It was found that with the lack of oxygen the size of the iron-oxide particles created in the arc discharge containing iron and carbon is affected by magnetic field: in a magnetic field of 10 mT the particles are larger than in its absence
252 kb

ABOUT THE NEW PARADIGM OF MATHEMATICAL METHODS OF RESEARCH

abstract 1221608056 issue 122 pp. 806 – 831 31.10.2016 ru 593
In 2011 – 2015, the scientific community was represented by a new paradigm of mathematical methods of research in the field of organizational and economic modeling, econometrics and statistics. There was a talk about a new paradigm of applied statistics, mathematical statistics, mathematical methods of economics, the analysis of statistical and expert data in problems of economics and management. We consider it necessary to develop organizational and economic support for solving specific application area, such as the space industry, start with a new paradigm of mathematical methods. The same requirements apply to the teaching of the respective disciplines. In the development of curricula and working programs, we must be based on a new paradigm of mathematical methods of research. In this study, we present the basic information about a new paradigm of mathematical methods of research. We start with a brief formulation of a new paradigm. The presentation in this article focuses primarily on the scientific field of "Mathematical and instrumental methods of economy", including organizational and economic and economic-mathematical modeling, econometrics and statistics, and decision theory, systems analysis, cybernetics, operations research. We discuss the basic concepts. We talk about the development of a new paradigm. We carry out a detailed comparison of the old and the new paradigms of mathematical methods of research. We give information about the educational literature, prepared in accordance with the new paradigm of mathematical methods of researches
192 kb

DIAMETER AND RADIUS OF THE WEIGHTED PREFRACTAL GRAPH BY A COMPLETE BIPARTITE SEED

abstract 1341710033 issue 134 pp. 390 – 403 29.12.2017 ru 593
Researches of metric characteristics on prefractal graphs are known tasks. Such tasks arise when determining estimates of length, of depth, of width of the graph. Also these questions arise when determining results of optimization of these tasks of the prefractal graphs. Properties of metric characteristics depend on a trajectory of generation of the prefractal graph and on the characteristic of primings. In this work, metric characteristics on prefractal weighed graphs are investigated, dependence of metric characteristics on a trajectory of a priming and prefractal graphs is revealed. Estimates are obtained for the diameter and radius of the weighted prefractal and fractal graphss
362 kb

THE INFLUENCE OF THE REACTION OF DISSOCIATION / RECOMBINATION OF MOLECULES OF WATER ON TRANSPORTATION OF ELECTROLYTE 1: 1 IN MEMBRANE SYSTEMS IN THE DIFFUSION LAYER. PART 3. EVALUATION OF THE POSSIBILITY OF THE EMERGENCE OF GRAVITATIONAL CONVECTION

abstract 1231609018 issue 123 pp. 283 – 297 30.11.2016 ru 597
This article is a continuation of the previous works of the authors [The influence of reaction dissociation / recombination of molecules of water on transportation of electrolyte 1:1 in the membrane systems in the diffusion layer. Part 1. Mathematical model // Scientific journal of Kuban State Agrarian University, 2016. No. 07(121) and The influence of the reaction of dissociation / recombination of molecules of water on transportation of electrolyte 1: 1 in membrane systems in the diffusion layer. Part 2. Asymptotic analysis // Scientific journal of Kuban State Agrarian University, 2016. – №08(122)] and devoted to assessing the possibility of gravitational convection due to the recombination of hydrogen and hydroxyl ions. The article presents the solution of a boundary-value problem, which is a mathematical model of electrodiffusion for the four types of ions at the same time (two ions of salts and hydrogen and hydroxyl ions) in the diffusion layer in electro-membrane systems with ideal selective membrane, with the heat transfer equation and the Navier-Stokes equation. The article shows the possibility of the emergence of gravitational convection due to the exothermic reaction of recombination of water molecules in the depth of the solution. The article considered the reaction of recombination of hydrogen ions and hydroxyl, although the main results can be applied, after appropriate modifications, and to amfolit-containing solutions, such as wine, juices, dairy products, microbiological processing of biomass (amino acids, anions of polybasic carboxylic acids), municipal effluent (anions of phosphoric acid), etc.
188 kb

THE INFLUENCE OF REACTION OF DISSOCIATION / RECOMBINATION OF MOLECULES OF WATER ON TRANSPORTING ELECTROLYTE 1: 1 IN THE MEMBRANE SYSTEMS IN THE DIFFUSION LAYER. PART 2. ASYMPTOTIC ANALYSIS

abstract 1221608017 issue 122 pp. 241 – 254 31.10.2016 ru 603
This article is devoted to the asymptotic analysis of boundary value problem for a system of equations of Nernst-Planck and Poisson for a singularly perturbed system of ordinary differential equations [1], based on two parameters. This boundary value problem simulates electrodiffusion of four kinds of ions at the same time in the diffusion layer in electro-membrane systems with perfectly selective membrane, taling into consideration the reaction of recombination of two ions. Meanwhile the other two ions represent ions of a binary salt. As a simple example, we consider the transport of ions sodium, chlorine, hydrogen and hydroxide, moreover, hydrogen and hydroxyl ions recombine in the diffusion layer. A more complex case is the transfer of the products of dissociation of the dihydrogen phosphate of sodium, namely, ions of sodium and dihydrogen phosphate, the latter dissociate at the interface, in turn, hydrogen ions and hydrogen phosphate. Thus, in the solution can simultaneously store three different types of ions: sodium, hydrogen, phosphate. During the transfer, hydrogen ions and ions of hydrogen phosphate recombine to produce phosphoric acid. The article has revealed the structure of the Nernst diffusion layer at currents above Harkatsa current. It is shown, that in the diffusion layer, there are two types of boundary layers: the inner (reaction) boundary layer and boundary layer at the interface solution / membrane
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