Quantiles for directional data

In this thesis we study a special type of multidimentional data - directional data. The main part of this thesis consists of defining and comparing different ways of order- ing directional data. The most important functions used for ordering directional data presented in this thesis are angular depths. We will describe importnant properties of angular depths and we will discuss wheter each angular depth satisfies the formulated desirable properties. Using previously defined angular depths and median we show two ways of drawing the circular version of a boxplot.