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Multivariate distributions in Cartesian, polar and directional coordinates
Bečková, Magdaléna ; Hlubinka, Daniel (advisor) ; Pawlas, Zbyněk (referee)
The thesis focuses on the distributions of random vectors in Cartesian, polar and directional coordinates. In the thesis we derive formulas for probability density func- tions of two-dimensional vectors in polar and directional coordinates, three-dimensional vectors in spherical and directional coordinates and n-dimensional vectors in spherical coordinates. These formulas are shown on several examples of normal and uniform distri- butions. Finally, the thesis discusses differences between the probability density functions in particular coordinates systems. 1

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