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Measurement of Human Hand Geometric Parameters
Vanžurová, Anna ; Hrabec, Pavel (referee) ; Štarha, Pavel (advisor)
In practice, there is no easy way to obtain the size of the surface of a human hand. Therefore, this work deals with the search for a mathematical model determining the approximate surface of the hand. This model uses the basic geometric parameters of the hand obtained from her photograph. Since it is necessary to obtain parameters from the image, compare the mathematical model with reality and verify its accuracy in terms of statistics, the work includes the theory of digitization of image information, 3D scanning and statistics.
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Archimedean copulas
Vedyushenko, Anna ; Pešta, Michal (advisor) ; Omelka, Marek (referee)
The thesis deals with Archimedean copulas which are very popular nowadays due to easy construction and their appealing properties. At first it introduces the general definition of a copula and also shows its fundamental properties. After that the definition and the basic properties of an Archimedean copula are discussed. The paper also describes some of the commonly used families of Archi- medean copulas. Then several methods of parameter estimation for Archimedean copulas are shown. Finally, we make a study of two real datasets where the distri- bution of the data is estimated based on the procedures described in the thesis. 1
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Measurement of Human Hand Geometric Parameters
Vanžurová, Anna ; Hrabec, Pavel (referee) ; Štarha, Pavel (advisor)
In practice, there is no easy way to obtain the size of the surface of a human hand. Therefore, this work deals with the search for a mathematical model determining the approximate surface of the hand. This model uses the basic geometric parameters of the hand obtained from her photograph. Since it is necessary to obtain parameters from the image, compare the mathematical model with reality and verify its accuracy in terms of statistics, the work includes the theory of digitization of image information, 3D scanning and statistics.
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|
|
Archimedean copulas
Vedyushenko, Anna ; Pešta, Michal (advisor) ; Omelka, Marek (referee)
The thesis deals with Archimedean copulas which are very popular nowadays due to easy construction and their appealing properties. At first it introduces the general definition of a copula and also shows its fundamental properties. After that the definition and the basic properties of an Archimedean copula are discussed. The paper also describes some of the commonly used families of Archi- medean copulas. Then several methods of parameter estimation for Archimedean copulas are shown. Finally, we make a study of two real datasets where the distri- bution of the data is estimated based on the procedures described in the thesis. 1
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