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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Model averaging
 Trusina, Filip ; Hlávka, Zdeněk (advisor) ; Antoch, Jaromír (referee)
The thesis aims to describe the method of model averaging and the construction of confidence intervals for dose estimation within the method MCP-Mod that is used for modeling the dose-response relationship. We define the doses EDp and MED, which are estimated in practice. We describe the MCP-Mod method, including suitable mod- els and contrast tests. We present information criteria, the ability to determine model weights based on information criteria and discuss their behaviour for different models and a growing number of observations. We also introduce three possible ways of con- structing confidence intervals for estimates obtained using the model averaging method. We apply these constructs to the example of dose-response modeling in a simulation study. Lastly, we introduce two new models with two change-points for modeling the dose-response relationship. 1
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Tests for the Poisson distribution
 Trusina, Filip ; Pawlas, Zbyněk (advisor) ; Nagy, Stanislav (referee)
In this work we deal with the question whether a sequence of independent identically distributed random variables comes from the Poisson distribution. For this task we present two different approaches and couple of tests for each appro- ach. The first approach is based on the asymptotic approximation of distribution of test statistics. The second approach uses generation of test samples. Based on simulations done by us, we discuss the power of individual tests and their advantages and disadvantages. 1
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