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Two-sample tests
Janoušková, Kateřina ; Hlávka, Zdeněk (advisor) ; Chochola, Ondřej (referee)
Two-sample T tests are described in this thesis. They are an im- portant method for testing hypotheses when samples have normal distribution. The main emphasis is laid on testing expected values when unknown variances are unequal. The test statistics used for testing hypotheses are presented and their null distribution is derived. In the beginning Student's distribution is de- scribed. The next chapters show how the Welch's and Satterthwaite's statistics are derived and it is described how to use them when testing hypotheses. Special paired test with missing samples is presented in the last chapter. 1
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Recursive procedures for detection of changes
Chochola, Ondřej ; Černíková, Alena (referee) ; Hušková, Marie (advisor)
In the thesis we study a sequential monitoring scheme for detecting a change in variance. We assume to have a stable historical period of length m. The goal is to propose tests with asymptotically small probability of type I error and power 1 as m tends to infinity. Two such procedures were proposed. The first uses estimates of variance from the historical period, the second uses recursive estimates. The distribution under the null hypothesis and also under the alternative hypothesis was derived for both test statistics. Furthermore a simulation study for of the finite sample performance of the monitoring schemes was conducted.
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Recursive procedures for detection of changes
Chochola, Ondřej ; Hušková, Marie (advisor)
In the thesis we study a sequential monitoring scheme for detecting a change in variance. We assume to have a stable historical period of length m. The goal is to propose tests with asymptotically small probability of type I error and power 1 as m tends to infinity. Two such procedures were proposed. The first uses estimates of variance from the historical period, the second uses recursive estimates. The distribution under the null hypothesis and also under the alternative hypothesis was derived for both test statistics. Furthermore a simulation study for of the finite sample performance of the monitoring schemes was conducted.
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State of charge prediction of lead acid batteries
Chochola, Ondřej ; Bača, Petr (referee) ; Křivík, Petr (advisor)
The general aim of the thesis is a detailed examination of battery charging condition possibility of lead-acid accumulator with the help of pulse current method. The methodology consists of experimental cell testing by pulse battery charging and pulse battery discharging during a progressive change of charging and discharging current as well as charging and discharging time change. The testing procedure proceeds at a various battery charging condition. Principal aim of this work is to compare final voltage dependencies and to establish the usability of pulse current method to determine battery charging condition.
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