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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Tests of independence for functional data
 Horská, Šárka ; Hlávka, Zdeněk (advisor) ; Hušková, Marie (referee)
This thesis deals with tests of serial independence for functional time series. The first part of the thesis introduces the issue of serial independence in time series of random vari- ables. The second part focuses on tests of serial independence for functional observations. It examines a test based on autocorrelation and, in particular, a test whose test statistic is derived directly from the definition of independence. This test is modified to a test with a weaker alternative of sub-dependence. The thesis concludes with a comparison of these three tests, which is based on a simulation. 1
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Distribution of interpoint distances
 Horská, Šárka ; Hlávka, Zdeněk (advisor) ; Komárek, Arnošt (referee)
This thesis investigates basic properties of the interpoint distances be- tween random vectors drawn from multinomial distribution. We also describe a possible application to testing sparse observations, i.e., a setup with small number of observations and large number of categories, where the classical χ2 -test cannot be recommended. As an alternative, utilizing the multinomial interpoint distances, we will present the test statistic proposed by Biswas and Ghosh (2014). 1
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