№ 108(4), April, 2015
Public date: 30.04.2015
Archive of journal: Articles count 91, 194 kb
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LIMIT THEOREMS FOR KERNEL DENSITY ESTIMATORS IN SPACES OF ARBITRARY NATURE
01.00.00 Physical-mathematical sciences
Description
Some estimators of the probability density function in spaces of arbitrary nature are used for various tasks in statistics of non-numerical data. Systematic exposition of the theory of such estimators had a start in our work [2]. This article is a direct continuation of the article [2]. We will regularly use references to conditions and theorems of the article [2], in which we introduced several types of nonparametric estimators of the probability density. We studied more linear estimators. In this article we consider particular cases - kernel density estimates in spaces of arbitrary nature. When estimating the density of the one-dimensional random variable, kernel estimators become the Parzen-Rosenblatt estimators. Asymptotic behavior of kernel density estimators in the general case of an arbitrary nature spaces are devoted to Theorem 1 - 8. Under different conditions we prove the consistency and asymptotic normality of kernel density estimators. We have studied uniform convergence. We have introduced the concept of "preferred rate differences" and studied nuclear density estimators based on it. We have also introduced and studied natural affinity measures which are used in the analysis of the asymptotic behavior of kernel density estimators. We have found the asymptotic behavior of dispersions of kernel density estimators and considered the examples including kernel density estimators in finite-dimensional spaces and in the space of square-integrable functions
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01.00.00 Physical-mathematical sciences
Description
In this article we propose a method that uses the apparatus of the theory of fuzzy sets, together with the five-factor model of Altman in assessing the creditworthiness of an enterprise. Altman's model works in two ways: It applies the root mean square (RMS) integral approximation for the exact calculation of quantitative assessment of creditworthiness (probability of bankruptcy), and using the device of fuzzy sets for ordered sets by the degree of confidence in the resulting probability. In this paper we conducted simulation procedure for the credit assessment and showed the capabilities of the model. The model input parameters , forms system inputs (input variables), allowing you to get the value of the parameter z of Altman. With the help of Altman's model, approximating function L6, the decision function I(p) and the algorithm for calculating preference we obtain the number of the set i to which belongs a number of ordered sets as fuzzy logic . On the selected simulation parameters, stable statistics can be obtained. Altman's model with the use of computational function allows real values of the input parameters of the enterprise replaced by random values of the simulation model. This technique allows, as shown by the results of computational experiments, the creditor to obtain additional information on the creditworthiness of the investigated enterprise and make a more informed conclusion about its financial condition, which speeds up the decision on the possibility of issuing the required credit. The development of method of estimating fuzzy logic can be applied to other models of assessing the creditworthiness of a company: Davydov's model, Zaitseva's, Saifullina's, Kadykova's and others with appropriate modification
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THE METHODS OF REPRODACTION OF LAVANDULA ANGUSTIFOLIA MILL.
Description
The article presents results of the study of lavender reproduction (Lavandula angustifolia Mill) with methods of generative reproduction (seeds), vegetative reproduction (cutting, layening, divide of buch), clonal microreproduction using the culture in vitro. The method of cloned microreproduction based on the culture of the isolated meristems which provides genetic identity of regenerated plants to initial forms and high coefficients of reproduction, improvement of landing material from fungal and bacterial infection, and also release from viruses at a combination with methods of thermotherapy and a chemotherapy is the most effective for the solution of objectives of seed farming of a lavender. As a material for carrying out researches we had plants of lavender (Lavandula angustifolia Mill), Sineva sorts, Stepnaya and perspective selection samples 337-9 and 310-17. Apical meristems 0,2-1,0 mm high isolated from top and axilary buds of a stalk of annual plants have been used as explant. Murasige and Skuga (MS) used as a basic nutrient medium for cultivation of the isolated meristems. Explants have been cultivated in the cultural room with 25-26 0C - temperature, lighting – 2-3 lx, relative humidity – 60-70%. It has been established that both April and October are the best month for isolation of meristems correspond calendar to phases of spring and autumn growth at the lavender donor plants and that optimum is an agar nutrient medium of MS, added with kinetin (1,0 mg/l) and GC (1,0 mg/l); frequency of regeneration of all studied genotypes was 90,0-100,0 %. Feature of morphogenesis of lavender meristems in vitro culture was already at the first stage of clonal microreproduction as there was a multiple shoot formation. Studying of features of development of lavender microplants during ten passages also was carried out, as the level of stability of regeneration processes throughout several cycles of a miсrograftage is one of important factors on which efficiency of microreproduction depends. We have also shown, that the efficiency of reproduction remains at the stable level of the sort named Sineva and sample #337-9 to the 8th passage (1:7,77-12,45 and 1:7,60-11,85 respectively), at the variety called Stepnaya - to the 7th passage (1:6,10-11,81), at the sample #310-17 - to the 6th passage (1:6,17-8,37)
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Description
This article is devoted to treatment effects of cuttings of a grape variety called Moldova with 0.01% solution of heteroauxin on their regenerative capacity, depending on the light conditions. We have established that the germination of cuttings in the dark, as well as the treatment of heteroauxin significantly stimulate their regenerative abilities. The length of the shoots, regardless of the use of heteroauxin, depends on the mode of the light produced during the germination of cuttings. In both studies, the length of the shoots on the end of experiment cuttings germinated in the dark, was 1,71-2,66 times more than when germinated in the light. Cuttings rooting ability also largely depends on the light produced in their germination. In both studies, the rooting of cuttings started earlier and passed more rapidly during their germination in the dark. Processing cuttings with heteroauxin, followed by germination in the dark, speeded up the formation of roots even more, compared with the case where the cuttings treated with heteroauxin germinated in the light. In the best case rooting increased by 42,5-47,5%, the number of roots on basal ends of cuttings in 18,3- 18,5 times, the numbers of cuttings with 3 or more roots to 72,5-80,0%
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THE OPTIMUM TAXATION AS THE REFERENCE POINT OF THE TAX POLICY
Description
The article examines the issues, principles and specifics of optimal taxation. We have also proposed the directions and practical recommendations about optimization of the taxation in the formation of tax policy
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ANALYSIS OF PRICE SERIES USING HOLT’S INDICATOR OF STOCK MARKET
Description
The article is devoted to the development of an indicator to detect changes in the dynamics of stock price series that could lead to loss of optimality of the trading models parameters. Feature of the new tools of technical analysis is sensitive not only to the trend component securities prices, but also to the volatility of financial assets. In this work proposes the use of this indicator as part of risk management at the stock market, formulates practical advice on how to use and configure in conjunction with trading models.
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PATENT SEARCH DESIGN PROVIDES TILLAGE OVERTURNING. METOD SEARCH. THE PROPOSED TECHNICAL SOLUTION
Description
The article deals with the issue of patent search of mechanization for the main-processin you with a turnover of reservoir devices carry it out-ment, identified problems existing in the given-term technological operation. The ways of solving them and their implementation are shown. We describe two possible variants, making patent search using two search engines FIPS and FINDPATENT. We have shown the closest in design and type of patents that answer the main question which is tillage, the ways of influencing the process of improving tillage with a turnover of reservoir and definition of the design for further examination. This article has applied nature and is aimed at improving trend constructions of arable unit to improve the quality performance. We have proposed and presented a design of reversible ploughs and its body to moldboard tillage. When using a system of rational agriculture, we comply with all management practices of the application of modern energy-saving technology, the goal will be reached - increasing crop yields with less expenses
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APPLICATION OF CONTROLLING IN LOGISTIC SYSTEMS OF COMPANIES
Description
In the article methodological and practical basics of development and deployment of controlling in logistic systems are covered. The main objectives and instruments of controlling of logistics in activities of the organization are opened. The example of use of controlling in logistic systems is given. The main task of controlling in logistic systems consists in realization of an operating control behind profitability and the best passing of processes of warehousing and transportation material and transfers of non-material resources of the organization
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APPLICATION OF THE ANK ANOLYTE SUPER NEW GENERATION DRUG FOR DISINFECTION OF HATCHING EGGS
Description
Spraying the hatching eggs with disinfecting solution was found to be the effective mean to decrease a risk of bacterial contamination. The most used disinfection means contain quaternary ammonium compounds, phenols, iodine of glutaric aldehyde. However, some disinfectants have ability to close pores on to the egg in case of applicating on the surface of egg that results in decreasing evaporation of water during incubation and decreasing hatching. The most popular methods is gazation with using the preparation on a base of formaldehyde, formalin, potassium permanganate. The above-mentioned methods have the risks of potential danger for hatching eggs and developing embryos. For biocidic treatment of eggs YF-irradiation is used, as well as ozone, but it penetrates into eggs owing to eggs pores and destabilizes embryo. Moreover, ozone possesses the toxic, corrosive and inflammable properties and its using must be controlled. Some disinfectants, especially chloral-containing preparation have a property to react with cuticle of eggshell and falls their activity. Other disinfectants, as a rule, block the pores and make difficult gazoexchanging. Using the preparation on a base of electroactivatel solutions of sodium chloride. Was detected to be one of the perspective approaches to disinfection of hatching eggs. The results of study on a development of disinfection technology for hatching eggs contaminated by bacteria and fungi with using the Super ANK Anolyte
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APPLICATION OF "SUPER ANK ANOLYTE" FOR BIOCIDAL TREATMENT OF EGGS
Description
Under the field conditions breeding the young poultry takes place in the eggs out of maternal body. For successful breeding the progeny keeping all the demands to safety and quality of hatching eggs has the important significance. Safety demands are presented in the appropriate Technical Standards (TS). The microbial standards are to be very significant. Moreover, it is necessary to control both the microorganisms note in TS and other species as dangerous factors on during the process of production. The methods and means used presently for disinfection of hatching eggs have some disadvantages, e.g. the method of gazation with using the preparations on a base of formaldehyde, formalin, potassium permanganate; ozone has the toxical, corrosive and inflammable properties and its using must be controlled; chlorine-containing disinfectants have a property to react with cuticle of eggshell and fall their activity. The results of a study on applicating Super ANK Anolyte for biocidal treatment of the eggs are presented in the article
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