General theory of statistics
Subject and method of statistical science. Elements of probability theory. Random variables and their distribution laws. Fundamental of statistical observation. Grouping, consolidated return and data presentation. Basics of averages statistics method.
Подобные документы
The study of the theory of probability. Determination of the relative frequency. Moments of random variables. Central limit teorema. Aksioma Richesky Probability. Studies Cumulative Distribution Functions. A communication system for random fluctuations.
лекция, добавлен 25.11.2013Fundamentals of Probability and Judgement. Random variables and probability distributions. Bayes’ Theorem and Elicitation. Aleatory, epistemic uncertainty. Roles within the elicitation process. The naive intuitive statistician metaphor. "The middle way".
учебное пособие, добавлен 25.11.2013Basic formulas of combinatorial analysis. Theorem of addition of probabilities of incompatible events. Theorem of multiplication of probabilities. Bayes’s formulas. Mathematical operations over random variables. Properties of a distribution function.
курс лекций, добавлен 27.10.2013Johann Carl Friedrich Gauss - a German mathematician. His outstanding scientific achievements. The fundamentals of modern balancing and mathematical statistics (the least squares method). Developing number theory, analysis, differential geometry.
презентация, добавлен 22.01.2016The logic of quantification. Non-standart set theories. Typically ambiguous variables. Standardized theory of types. Equate the null classes. Connections with Zermelo's theory. Functional Logic. A motive for unifying universes. Use general variables.
статья, добавлен 11.09.2012Study of the content of Galileo's revolution in science, which introduced into science the analytical method typical of the general modern thinking. Familiarization with the method of determining the laws of motion of objects using time functions.
статья, добавлен 10.04.2023Using methods of discrete mathematics in the field of virtual isolation and its application in the scientific theory of numbers, groups, combinatorics and graph theory. Specifics arithmetic methods data comparisons. Construction of a matrix atom.
книга, добавлен 08.03.2014Mathematical methods of optimizing statistical research. Solution the problem of computation the entropy value of binary messages of increased length generated by Bernoulli information sources. Development of methods to reduce the number of calculations.
статья, добавлен 19.09.2024Writing interactive math tests in the LaTeX system. Using the system for writing interactive tests on the theory of probabilities in distance learning. Creation of tasks of the type "True/False", "Short answer", "Essay" ("Clarifying the definition").
статья, добавлен 19.03.2024Separating the foundations of mathematics from philosophy. Difference between the theory of formal systems theory and evidence. Classical first order predicate logic. Elementary and full analysis. Existing proof theory. Infinitely long expressions.
статья, добавлен 09.09.2012Several aspects of systems theory. Arithmetic of cardinal numbers. Crises of naive set theory. Constructions of ordinal and cardinal number systems. Growth of the polish school of mathematics. Bellman’s principle of optimality and its generalizations.
книга, добавлен 25.11.2013The self regulation of the parameters of the algorithm is a major step towards the establishment of the method as a general tool of nonlinear data analysis. Algorithms for the general task of extracting nonlinear principal manifolds from high dimensional.
статья, добавлен 08.02.2013Basic Concepts, examples of Floating Point Calculations. Gaussian Elimination with Partial Pivoting. Bisection, Newton’s Method, and the Secant Rule. Basic Quadrature Rules. Some Elements of the Theory. Special Devices for Integration and case study.
учебное пособие, добавлен 25.11.2013The theory of the scalar field, directed derivative. The calculation of the line integral. The divergence of vector fields, their properties. Complex numbers and operations with them. The concept of differentiability and analytic function of the complex.
учебное пособие, добавлен 11.10.2014The study of the problem of how remains unchanged if the expected value according to probability distribution determined by minimizing the deviations among the fixed N values of a factor object. The set of all optimal strategies of the second player.
статья, добавлен 30.01.2017The fundamentals of the theory of automata, formal languages, and regular, context-free grammar. Discussion of the principle of Turing, which formalize the concept of soluble and insoluble problems, the definition of time and space evaluation algorithms.
книга, добавлен 18.09.2012- 17. Matrixes least squares method: examples of its application in macro-economics and TV-media business
Fundamentals of the method of least squares for the case of vector and matrix of observations. Advantages of MNCs to predict performance in the telemedia business. MNCs use algorithm for the matrix of observations with the ability to scale the data.
статья, добавлен 29.06.2016 The construction of lower-dimensional manifolds from high-dimensional data is an important task in data mining, machine learning and statistics. The authors consider principal manifolds as a regularized, non-linear empirical quantization error functional.
статья, добавлен 08.02.2013Proving of the theorem on a normal limit distribution of the normalized number of false solutions of a beforehand consistent system of nonlinear random equations over the field GF(2) with additional condition on the number of nonzero components.
статья, добавлен 25.03.2016Applications of the mathematics of harmony as a new interdisciplinary direction of modern science. Algorithmic measurement theory, number systems with irrational bases and their applications in computer science, the hyperbolic Fibonacci functions.
статья, добавлен 24.06.2016Peculiarities of calculating the photoionization cross sections for ions of the isoelectronic sequence of cesium by the Dirac-Fock method. Analysis of the dependence of the photoionization cross sections on energy. Photoelectron distribution methods.
статья, добавлен 22.08.2020Consideration of the Shannon's mathematical theory of communication as the technology processing of information. Problems associated with the transmission of messages: eliminate redundancy, perform coding and messaging communication channels with noise.
статья, добавлен 15.09.2012Further examples of population dynamics. Representation of real numbers in an arbitrary base. A geometrical model for continued fractions. The idea of computational complexity. Elementary applications of congruence. The fundamental theorem of arithmetic.
книга, добавлен 08.03.2014Practical methods for solving nonlinear equations. Metrological support of iterative methods for solving nonlinear equations with inaccurate initial data. Modeling the behavior of iterative methods for different values of initial data and their errors.
статья, добавлен 11.09.2022Prime and composite numbers. The fundamental theorem of arithmetic states. Sample factorizations. Review of elementary number theory. Some essential algorithms. RSA public-key cryptosystem. Finding squares through products. Large prime variations.
статья, добавлен 15.09.2012