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Poznámky ke klasifikaci obrazu
Klimešová, Dana ; Ocelíková, E.
For many practical problems, it is impossible to hypothesize distribution function firstly and some distribution models, such as Gaussian distribution, may not suit to complicated distribution in practical. This paper shows the possibility of the approach based on the maximum entropy theory that can optimally describe the spatial data distribution and gives actual error estimation.
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Shluková analýza pro náhodné procesy událostí
Volf, Petr
The paper deals with the statistical analysis of unemployment data. The data are modeled via a discrete-time version of Poisson process. Cluster analysis is employed for selection of sub-populations with similar development of unemployment in recent years. Inside these clusters, an additional analysis of heterogeneity is performed. Numerical example analyzes certain aspects of unemployment development in the Czech Republic in 1993-1998.
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Rozdělení ceny na nelikvidních trzích s náhodným příchodem agentů
Šmíd, Martin
We suggest a model of (a thin) market at which the number of participants is random with Poisson distribution. We provide a formula for joint distribution of the market price and the traded volume. We derive an asymptotic distribution of the quantities. We find that, according to our model, with increasing intensity of the participants' number, the fluctuations of the market price vanish while the variance of the traded volume increases.
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Poznámka k úlohám vícekriteriální stochastické optimalizace a silně (strongly) konvexním funkcím
Kaňková, Vlasta
Multiobjective problems with an operator of mathematical expectation in objective functions and a constraints set depending (generally) on a probability measure are considered. The aim of the paper is to introduce modified assertions on a stability (considered w.r.t. a propbability measures space) of the (properly) efficient points set and the behaviour of the corresponding empirical estimates. To this end at least one component of the objective functions is supposed to be strongly convex.
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Visualizing pseudospectra for polynomial eigenvalue problems
Klimentová, A. ; Šebek, Michael
The use of pseudospectra is widespread in various applications, e.g. control theory, acoustics, vibrating systems. Through pseudospectra we can gain insight into the sensitivity of the eigenvalues of a matrix to perturbations that is convenient for robut control. We have implemented in Matlab a method to visualize e-pseudospectra for n x n polynomial matrix of degree greater that 2. We compute pseudospectrum for each point of the complex plane using transfer function approach.
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Návrh regulátoru pro VLT teleskop pomocí MATLABU
Hurák, Zdeněk ; Šebek, Michael
Článek ilustruje jednu iteraci procesu matlabského návrhu robustního regulátoru pro VLT teleskop (Very Large Telescope) provozovaný výzkumnou organizací ESO (European Southern Observatory) na observatoři v pohoří Paranal v Chile. Cílem návrhu je získat regulátor tlumící vliv větru a zároveň respektující přítomnost málo tlumených rezonančních módů v konstrukci teleskopu. Pro návrh byla vybrána metodika spoléhající na minimalizaci H nekonecno normy smíšené citlivostní funkce a použity funkce Polynom.Toolboxu.
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