Krysicki, W., Bartos, J., Dyczka, W., Królikowska, K., Wasilewski, M.: Rachunek Prawdopodobieństwa i statystyka matematyczna w zadaniach, PWN, Warszawa . W. Krysicki, J. Bartos, W. Dyczka, K. Królikowska, M. Wasilewski – Rachunek prawdopodobieństwa i statystyka matematyczna w zadaniach, cz. II, Statystyka. Rachunek prawdopodobienstwa i statystyka matematyczna w zadaniach czesc 1 [Krysicki W Bartos J Dyczka Wi inni] on *FREE* shipping on.

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The module covers issues related to the theory of probability and mathematical statistics.

Mathematics (21 01 01)

Events and the probability of random events. Definitions and properties of probability.

The classical definition of probability. Conditional probability and independence of of events. Probability of total and Bayes theorem.

Probability Theory and Statistics

The distribution of a random variable. Discrete random variables displacements.

Distributions of discrete random variable. Examples of discrete distributions: A continuous random variables. Examples of continuous distributions: Functions of random variables. Numerical characteristics of random variables. Moments expected value, variance.

Probability theory and mathematical statistics – USOSweb – Politechnika Rzeszowska

Two-dimensional random variables and their characteristics. Law of large numbers. Types prawdopdoobiestwa statistical characteristics and their measurement scales.

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The distribution and characteristics of the population in the sample. The number of ordinary and cumulative.

Probability theory and mathematical statistics

Graphical representation of data: Point estimation and the estimation of confidence intervals. Issues minimum size of the sample. Paasche-type indexes, indexes of the Laspeyres type and aggregate type Fisher index.

I, – PWN, Warszawa. Sobczyk – Statystyka matematyczna, – Wydawnictwo Beck, Warszawa.

Mojsiewicz – Statystyka w zadaniach, cz. Students can use the tools in probability and statistics, survey design, the development and presentation of statistical material, the statistical inference in the analysis of the structure, methods for the analysis of the interdependence of mass and time series analysis. Skip to main menu Skip to submenu Skip to content. Course descriptions are protected by copyright.

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Department of Power Electronics and Power Engineering. The syllabus – An introduction to probability theory – Elements of combinatorics. Issues minimum size of the sample – Verification of statistical hypotheses parametric and nonparametric tests of significance tests of significance – Methods of correlation and regression analysis analysis of selected aspects of the interdependence of mass – Methods of analysis of the dynamics of mass phenomena Types of time series, methods of testing a tachunek of changes the dynamic extraction method development trend trendfluctuations, indexes the individual and aggregate.

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Bibliography used during lectures W. The student sttaystyka completed the module. The ways of veryfing every mentioned outcome of teaching. Student is able to solve the task of probability and can make full development of statistical material, in particular, descriptive characteristics of the distributions measures: Assessment methods and assessment criteria:.

Laboratory, 15 hours more information Lecture, prawdopodobiestsa hours more information.