scholarly journals Mathematical Methods of Statistics A First Course in Mathematical Statistics

Nature ◽  
1947 ◽  
Vol 159 (4051) ◽  
pp. 826-826
Author(s):  
GODFREY THOMSON
2013 ◽  
Vol 45 (2) ◽  
pp. 223-232 ◽  
Author(s):  
V.V. Mitic ◽  
V. Paunovic ◽  
S. Jankovic ◽  
V. Pavlovic ◽  
I. Antolovic ◽  
...  

In this study, in order to establish grain shapes of sintered ceramics, new approach on correlation between microstructure and doped BaTiO3 -ceramics properties based, on Voronoi model and mathematical statistics calculations on fractal geometry, has been developed. BaTiO3-ceramics doped with Yb2O3 (from 0.1 to 1.0wt% of Yb) were prepared by using conventional solid state procedure and were sintered from 1320?C to 1380?C for four hours. The microstructure of sintered specimens was investigated by Scanning electron microscope JEOL-SEM-5300. For better and deeper characterization and understanding of the ceramics material microstructure, the methods which include the fractal nature structure, and also Voronoi model and mathematical statistics calculations, are applied. In our research the Voronoi is one specific interface between fractal structure nature and different stochastically contact surfaces, defined by statistical mathematical methods. Also, the Voronoi model practically provided possibility to control the ceramics microstructure fractal nature. Mathematical statistic methods enabled establishing the real model for the prognosis based on correlation: synthesis-structures-properties.


Author(s):  
E.Yu. LARIONOVA ◽  
◽  
Yu.E. GOLODKOV ◽  
V.I. DEMAKOV ◽  
Ya.A. PORTNAYA ◽  
...  

Statement of the problem. The relevance of the study is due to the fact that at present the activities of law enforcement agencies are based on the introduction of a unified system of information and analytical support of the RF Interior Ministry. The effective use of digital technologies depends on the quality of training of legal professionals, in terms of development of their basic knowledge, skills and abilities in the field of computational and analytical activities as the basis for professional thinking development. The purpose of the article is to justify the need to include the basics of the general theory of statistics, probability theory and mathematical statistics in the course of Legal Statistics as a basis and tool for analyzing socio-economic phenomena closely related to the activities of anti-crime law enforcement agencies following the historical and pedagogical analysis of applying statistics in jurisprudence. The research methodology consists of the analysis and synthesis of regulatory documents in the field of higher education (including educational standards of different generations in the areas of legal training implemented in the RF Interior Ministry universities), the history of teaching the course in Legal Statistics, as well as scientific and pedagogical literature. Research results. The study shows that the content of the course in Legal Statistics for students in legal specialization should include not only branch norms, but also the basics of the theory of probability and mathematical statistics. The fundamental nature of mathematical training helps to develop the basic grounds of professional thinking among specialists of the Russian law enforcement system. Conclusions. The study methodology made it possible to clarify the need for teaching mathematical fundamentals (including the elements of the theory of probability and mathematical statistics) while teaching Legal Statistics. This contributes to a higher level of professional competence among RF Interior Ministry graduates of higher educational institutions, their readiness to apply mathematical calculations in analytical activities.


2020 ◽  
Vol XXIII (2) ◽  
pp. 161-168
Author(s):  
Manea Emil

Mathematical statistics are applied in the field of engineering sciences where there are conditions of risk and uncertainty and where it is necessary to make some rigorously argued decisions. This paper purpouse is to illustrate, the opportunity to use probability theory in solving complex problems from the maritime vessels shipyard maintance and repairing activity, conditioned by uncertainty, risk and variability. The authors intended to demonstrate the fact that usinng the theory of probabilistic calculations could provide an efficient solution for the maintenance work of the drydocked ships in respect with requirement of the classification societies.


2012 ◽  
Vol 4 (4) ◽  
pp. 351-355
Author(s):  
Aivaras Jasilionis ◽  
Saulius Nagurnas ◽  
Mindaugas Melaika

For the development of new models, automobile manufacturers are trying to come up with optimal software for engine control in all movement modes. However, in this case, a vehicle cannot reach outstanding characteristics in none of them. This is the main reason why modifications in engine control software used for adapting the vehicle for driver’s needs are becoming more and more popular. The article presents a short analysis of development trends towards engine control software. Also, models of mathematical statistics for engine power and torque growth are created. The introduced models give an opportunity to predict the probabilities of engine power or torque growth after individual reprogramming of engine control software. Santrauka Automobilių gamintojai sukurtas degimo variklių valdymo programas pritaiko visiems automobilio judėjimo režimams ir tarp jų siekia optimalaus balanso. Tačiau tuomet automobilis nė vienu režimu nerealizuoja tinkamiausių būtent tam režimui parametrų, todėl labai populiarėja valdymo programos perprogramavimas. Straipsnyje trumpai apžvelgiamos kryptys, kuriomis tobulinami valdymo programų kūrimo metodai. Taip pat pagal eksperimentinių tyrimų metu surinktus duomenis pateikti sudaryti variklio išvystomos galios ir sukimo momento padidėjimo matematinės statistikos modeliai. Sudarant šiuos modelius, nustatytos minimalios ir maksimalios galios ir sukimo momento padidėjimo reikšmės, apskaičiuotos vidutinės reikšmės bei vidutiniai kvadratiniai nuokrypiai, parinkti teoriniai nagrinėjamų duomenų pasiskirstymo dėsniai. Sudaryti matematinės statistikos modeliai leidžia prognozuoti galios ir sukimo momento padidėjimo reikšmės patekimo į tam tikrą intervalą tikimybes.


Formulation of the problem. The urgency of the problem posed is the need to take into account the degree of intensity and quantitative study of dangerous atmospheric processes that cover large areas and cause significant economic damage to agriculture. When solving these questions it is necessary to have an objective estimation of different factors impact including weather and climate on the level of agricultural production. This will allow to assess various indicators of agro-meteorological conditions more reasonably in the estimation of the cereal harvest. Analysis of recent research and publications. The study of atmospheric processes and their effect on agricultural crops are devoted to in the works of V.V. Dokuchaev, P.I. Brоunоv, P.І. Kоlоskоv, G.Т. Sеlyaninov А.M. Аlpаtev S.А. Sаpоzhnikоvа, I.E. Buchinsky, N.B. Bova, V.A. Volevaha, V. Romushevich, Yu.І. Chirkоv, М.І. Budykо, А.R. Коnstаntіnоv, G.P. Dubinskiy. Formation of the purpose of the article. The article considers the questions of scientific research application and cartographical and mathematical methods. The following tasks are defined: to study the initial preconditions and methodological support in the study of this problem; to analyze the data of hydrometeorological service; to determine the empirical relationships of the spatial-temporal structure in the development of arid phenomena on the territory of Kharkiv region. Presentation of the main research material. In this paper, an attempt is made to use quantitative characteristics of environmentally hazardous atmospheric phenomena development for the analysis of their formation and influence on human economic activity. To do this, we used a cartographic and mathematical method of research. It consists in the fact that natural phenomena and, in particular, environmentally dangerous ones are placed on a map in the system of conditional signs and then are analyzed by methods of mathematical statistics, quantitative characteristics of the investigated phenomenon. The apparatus of mathematical statistics helps to solve probabilistic tasks of cartographic representation of natural phenomena, as well as to study various connections between natural phenomena reflected on maps, to measure and assess them. Involvement of the mathematical apparatus in the study of the cartographic image stems from the need for in-depth knowledge of the phenomena essence depicted in the maps. The study of natural phenomena without application of the map-mathematical method is considered to be one-sided since this does not take into account one of the important aspects of any study - quantitative relations and regularities. The result of the research is an analysis of statistical indicators of agricultural crops harvest and hydrometeorological conditions in Kharkiv region. Having analyzed these indicators, we determined that quantitative dependence of the crop on the number of dry days has a complex nonlinear multi-parameter appearance. At the same time, close connection between the harvest of corn and sugar beets with weather conditions was very significant, as indicated by the large correlation coefficient between them, equal to 0.87-0.90. We worked out a hypothesis about the form of functional dependence between these components. Using the mathematical modeling method to analyze the spatio-temporal structure of natural-anthropogenic phenomenon development allows us to unify the hydrometeorological characteristics. It can be used in different fields of science, in particular, in recreational geography. The apparatus of mathematical statistics helps to reliably solve the cartographic representation tasks of natural phenomena, as well as to study the versatile links between natural and anthropogenic objects, which are reflected on the maps, measure and estimate them. Conclusions. Cartographic and mathematical research method is an important component in the study of natural phenomena and processes and helps to solve probabilistic tasks of cartographic representation of natural phenomena, as well as to study the versatile relationships between natural phenomena reflected on maps, measure and quantitatively assess them.


2020 ◽  
Vol 29 (12) ◽  
pp. 52-58
Author(s):  
E.P. Meleshkina ◽  
◽  
S.N. Kolomiets ◽  
A.S. Cheskidova ◽  
◽  
...  

Objectively and reliably determined indicators of rheological properties of the dough were identified using the alveograph device to create a system of classifications of wheat and flour from it for the intended purpose in the future. The analysis of the relationship of standardized quality indicators, as well as newly developed indicators for identifying them, differentiating the quality of wheat flour for the intended purpose, i.e. for finished products. To do this, we use mathematical statistics methods.


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