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Odhady diskrétního rozložení pravděpodobnosti a bootstrap / Estimation of Discrete Probability Distribution and BootstrapLacinová, Veronika January 2015 (has links)
Doctoral thesis is focused on the unconventional methods of the discrete probability estimation of categorical quantity from its observed values. The gradient of quasinorm and so-called line estimation were emlopyed for these estimations. Bootstrap method was used for the improvement of accuracy. Theoretical results for selected quasinorms were illustrated on specific examples.
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Odhady diskrétních rozdělení pravděpodobnosti pro aplikace / Estimates of Discrete Probability Distributions for ApplicationsMašek, Jakub January 2016 (has links)
Master's thesis is focused on solution of the statistical problem to find a probability distribution of a discrete random variable on the basis of the observed data. These estimates are obtained by minimizing pseudo-quasinorm which is introduced here.The thesis further focuses on atributes of this pseudo-quasinorm. It also contains practical application of these methods.
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Kvazinormy diskrétních rozdělení pravděpodobnosti a jejich aplikace / Quasinorms of Discrete Probability Distributions and their ApplicationsŠácha, Jakub January 2013 (has links)
Dissertation thesis is focused on solution of the statistical problem to find a probability distribution of a discrete random variable on the basis of the observed data. These estimates are obtained by minimizing quasi-norms with given constraints. The thesis further focuses on deriving confidence intervals for estimated probabilities. It also contains practical application of these methods.
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