|
|
Regression analysis and splines
Benko, Milan ; Bašta, Milan (advisor) ; Komárek, Arnošt (referee)
The aim of this Bachelor's thesis is to introduce the basic concepts of regression analysis and subsequently regression splines as parametric models for regression function. I have looked upon the main characteristics of regression splines (coherence, coherence of derivations, the choice of placement and a number of knots). Further on in the thesis I have studied two bases as the examples of regression splines (truncated power basis and B-spline basis). I have also presented a model of natural cubic splines and a suitable basis for its representation has been derived. In the other part of my thesis I have looked upon the use of natural splines in order to increases the appraisal precision of regression function, mean square error formula has been derived and I have been trying to find out and illustrate under what conditions the use of natural splines is applicable. The thesis is complemented with a Monte Carlo Simulation, contextualized into models of splines. The results show that the criteria commonly used for the choice of a model ($\R_{adj}^2$, $PRESS$ statistic, hypothesis testing) do not always enable us to choose the right model in order to achieve the greatest precision of the estimation of regression function. All the calculations are done in R software and are in the electronic attachment....
|
|
|
Deformation Measurement of the Roof Structure of a Sport Hall
Klinčík, Radoslav ; Švábenský, Otakar (referee) ; Bureš, Jiří (advisor)
Diploma thesis describes the measurement and evaluation of displacements and deformations of the wooden roof structure of the aquapark hall in Brno – Kohoutovice. Part of the work is devoted to the preparation and testing of used devices and tools. The main part of the work consists of performing one stage of measurement using the polar method and the laser scanning method. The polar method measurement is compared with the results of the polar method of the previous stage. The next part of the work deals with the comparison of the polar method and the laser scanning method measured in the last stage. The results achieved are interpreted in the final part of the work.
|
|
|
Calibration of hydraulic model of water supply network
Náplavová, Eva ; Tureček,, Jan (referee) ; Ručka, Jan (advisor)
This diploma thesis deals with calibration of hydraulic simulation models, especially with methods used for calibration and parameters that are modified during calibration. The literature review in the field of mathematical modeling, basic principles applied in hydraulic modeling and the current approach to calibration and data collection is done in theoretical part. In the practical part of the thesis, a hydraulic model of the group water supply system Horní Dunajovice is built and subsequently calibrated. The calibration is first performed manually for the normal operational status and then using a calibration software created for this purpose for a load case with high velocity.
|
|
|
Control Design of the Rotation Inverted Pendulum
Cejpek, Zdeněk ; Němec, Zdeněk (referee) ; Matoušek, Radomil (advisor)
Aim of this thesis is building of a simulator model of a rotary (Furuta) pendulum and design of appropriate regulators. This paper describes assembly of a nonlinear simulator model, using Matlab–Simulink and its library Simscape–Simmechanics. Furthermore the paper discuss linear discrete model obtained from the system response, using least squares method. This linear model serves as aproximation of the system for designing of two linear discrete state space regulators with sumator. These regulators are supported by a simple swing–up regulator and logics managing cooperation.
|
|
|
Dependence of the value of the construction enterprise on the size of the equity
Bahenský, Miloš ; Kocmanová, Alena (referee) ; Špirková,, Daniela (referee) ; Korytárová, Jana (advisor)
The doctoral thesis deals with the valuer issues of business valuation with construction production in the condition of the Czech economy. The business valuation issue is, and will always be, highly relevant in a market economy environment, with regard to both methodical and practical approaches. The main aim of the doctoral thesis is to demonstrate the dependence constructing empirical regression model to determine the value of the construction enterprise by the chosen income valuation method based on the equity (book value of equity in historical costs). The first part of the doctoral thesis is a research study describing the approach of the authors to the current state of knowledge concerning the issues of business valuation, aspects of equity, using the principles of system methodology. Based on these findings, a space is defined in which it is possible to propose a solution of a partial problem in terms of selecting the enterprise value category and the associated income valuation methods suitable for extensive time-series analysis. An integral part of the doctoral thesis is the determination of the sample size of construction enterprises according to the assumptions and limitations of the chosen methodology. Empirical research for data collection is based on Justice.cz database. Another important part is, in the spirit of system approach principles, the choice and application of the method of system discipline for the solved problem of doctoral thesis. The result of the solution is an empirical regression model, which after subsequent validation in multiple case studies could also be recommended for wider verification in valuers practice. Part of the thesis will also include discussions in the wider context of the potential benefits of the doctoral thesis for practical, theoretical and pedagogical use.
|
|
| |
|
|
Moving averages in time series
Uhliarik, Andrej ; Cipra, Tomáš (advisor) ; Hudecová, Šárka (referee)
This thesis focuses on time series analysis usikng methods based on moving averages, especially the method based on the approximation of the trend compo- nent of a time series by polynomial functions. In the theoretical part of the thesis, we describe procedures for choosing right weights, degree and length of moving average for a specific time series. In the practical part, we are demonstrating this process on real data. A part of the thesis is a simple software for smoothing time series and tables with weights of moving averages for specific degrees and lengths. 1
|
|
|
Negation in Fuzzy Logic
Dekrét, Lukáš ; Havlena, Vojtěch (referee) ; Křena, Bohuslav (advisor)
This thesis deals with fuzzy logical connections, mainly negations, their properties and constructions.We focused our attention on triangular norms and conorms, which are often used for modeling of fuzzy conjunction and disjunction.We showed the possibilities of constructions of triangular norm and conorm using involutive negations.Futhermore, we dealed with approximation of function, which was created using empirical data to well known fuzzy negator.
|
|
|
Hydraulic roughness of water supply pipes
Náplavová, Eva ; Hofmannová, Lenka (referee) ; Ručka, Jan (advisor)
This bachelor’s thesis deals with hydraulic roughness of water pipelines, its consideration while making a hydraulic model and subsequent calibration of hydraulic simulation model. In the theoretical part literary review about current approach to hydraulic modeling of water mains and its possible future direction is carried out, as well as an overview of used roughness coefficients, computational formulas and possible approaches to calibration of the hydraulic model. In the practical part of the thesis, a matematical model of the supply main of the water mains network of Hvozdná is compiled and is followed by its calibration. The method of weighted least squares is used as an objective function. Optimization methods are used to minimize the value of the objective function and thus to determine the hydraulic roughness of supply main.
|
|
|
Automatic tuning of the DC motor controller
Tran, Adam ; Brablc, Martin (referee) ; Najman, Jan (advisor)
Diploma thesis deals with designing of algorithmus for automatic controller tunning for DC motors. Automatic tuning function consist of system identification and controller parametrization. Cascade control loop was chosen for its robustness and proper DC motor control. For electric system identification of DC motor was used recursive method of instrumental variables, because of noisy signal from current transducer. In the case of identification mechanical system, there were used least sqares method. According to identified parameters, current controller was parametrized by optimum module and revolution controller according symetrcal optimum.
|
guest ::
