|
|
Graphical methods for directional data
Tyuleneva, Anastasia ; Hlávka, Zdeněk (advisor) ; Antoch, Jaromír (referee)
Title: Graphical methods for directional data Author: Anastasia Tyuleneva Department: Department of Probability and Mathematical Statistics Supervisor: doc. Mgr. Zdeněk Hlávka, Ph.D., Department of Probability and Mathematical Statistics Abstract: This work is focused on the improvement of knowledge about the graphical directional data visualizing using different kinds of boxplot. The method and restrictions of the boxplot construction are depicted in this work, especially the need of knowledge of the relationship of sample α−quantiles to the theoretical quantiles. The first part is focused on the most importat information of the theoretical background, boxplot and its parts description. In the second part the construction of the circular boxplot for two-dimensional directional data and representation of their properties using von Mises distribution is described. The final part is consisted of a brief description of the method of construction of multidimensional boxplot or bagplot for three-dimensional Fisher distribution. Keywords: boxplot, bagplot, directional data, von Mises distribution, Fisher distribution
|
|
|
Boxplot for multivariate data
Brabenec, Tomáš ; Nagy, Stanislav (advisor) ; Hlávka, Zdeněk (referee)
We will introduce three methods of extension of the classical Tukey's Boxplot for multivariate data. These are the Rangefinder, the Relplot and the Bagplot. To implement the methods, we will need the notions like Mahalanobis distance, elliptically symmetric distributions and halfspace depth. A big part of the thesis is focused on the construction of the Relplot and the Bagplot. We will also discuss, how do these methods detect outliers and what are their advantages and disadvantages. This work contains many examples and illustrating images. 1
|
|
|
Graphical methods for directional data
Tyuleneva, Anastasia ; Hlávka, Zdeněk (advisor) ; Antoch, Jaromír (referee)
Title: Graphical methods for directional data Author: Anastasia Tyuleneva Department: Department of Probability and Mathematical Statistics Supervisor: doc. Mgr. Zdeněk Hlávka, Ph.D., Department of Probability and Mathematical Statistics Abstract: This work is focused on the improvement of knowledge about the graphical directional data visualizing using different kinds of boxplot. The method and restrictions of the boxplot construction are depicted in this work, especially the need of knowledge of the relationship of sample α−quantiles to the theoretical quantiles. The first part is focused on the most importat information of the theoretical background, boxplot and its parts description. In the second part the construction of the circular boxplot for two-dimensional directional data and representation of their properties using von Mises distribution is described. The final part is consisted of a brief description of the method of construction of multidimensional boxplot or bagplot for three-dimensional Fisher distribution. Keywords: boxplot, bagplot, directional data, von Mises distribution, Fisher distribution
|
|
|
Graphical methods for directional data
Tyuleneva, Anastasia ; Hlávka, Zdeněk (advisor) ; Antoch, Jaromír (referee)
Title: Graphical methods for directional data Author: Anastasia Tyuleneva Department: Department of Probability and Mathematical Statistics Supervisor: doc. Mgr. Zdeněk Hlávka, Ph.D., Department of Probability and Mathematical Statistics Abstract: This work is focused on the improvement of knowledge about the graphical directional data visualizing using different kinds of boxplot. The method and restrictions of the boxplot construction are depicted in this work, especially the need of knowledge of the relationship of sample α−quantiles to the theoretical quantiles. The first part is focused on the most importat information of the theoretical background, boxplot and its parts description. In the second part the construction of the circular boxplot for two-dimensional directional data and representation of their properties using von Mises distribution is described. The final part is consisted of a brief description of the method of construction of multidimensional boxplot or bagplot for three-dimensional Fisher distribution. Keywords: boxplot, bagplot, directional data, von Mises distribution, Fisher distribution
|
guest ::
