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Fitting of Probability Distributions for Applications
Pavlíčková, Lenka ; Bednář, Josef (referee) ; Karpíšek, Zdeněk (advisor)
The diploma thesis describes the bootstrap method and its applications in the confidence intervals generation, in the testing of statistical hypotheses and in the regression analysis. We present the confidence interval for individual value. Further the method of discrete probability estimation of the categorical quantity is presented, making use the gradient and the line estimate.
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Bootstrap Method and its Application
Pavlíčková, Lucie ; Lacinová, Veronika (referee) ; Karpíšek, Zdeněk (advisor)
The diploma thesis describes the bootstrap method and its applications in the estimate accuracy statement, in the confidence intervals generation and in the testing of statistical hypotheses. Further the method of the discrete probability estimation of the categorical quantity is presented, making use the gradient of the quasi-norm hereof distribution. On concrete examples the bootstrap method is applied in the confidence intervals forming of the categorical quantity probability function. The diploma thesis was supported by the project of MŠMT of the Czech Republic no. 1M06047 "Centre for Quality and Reliability of Production", by the grant of Grant Agency of the Czech Republic (Czech Science Foundation) reg. no. 103/08/1658 "Advanced optimum design of composed concrete structures" and by the research plan of MŠMT of the Czech Republic no. MSM0021630519 "Progressive reliable and durable structures".
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Fitting of Probability Distributions for Applications
Pavlíčková, Lenka ; Bednář, Josef (referee) ; Karpíšek, Zdeněk (advisor)
The diploma thesis describes the bootstrap method and its applications in the confidence intervals generation, in the testing of statistical hypotheses and in the regression analysis. We present the confidence interval for individual value. Further the method of discrete probability estimation of the categorical quantity is presented, making use the gradient and the line estimate.
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Bootstrap Method and its Application
Pavlíčková, Lucie ; Lacinová, Veronika (referee) ; Karpíšek, Zdeněk (advisor)
The diploma thesis describes the bootstrap method and its applications in the estimate accuracy statement, in the confidence intervals generation and in the testing of statistical hypotheses. Further the method of the discrete probability estimation of the categorical quantity is presented, making use the gradient of the quasi-norm hereof distribution. On concrete examples the bootstrap method is applied in the confidence intervals forming of the categorical quantity probability function. The diploma thesis was supported by the project of MŠMT of the Czech Republic no. 1M06047 "Centre for Quality and Reliability of Production", by the grant of Grant Agency of the Czech Republic (Czech Science Foundation) reg. no. 103/08/1658 "Advanced optimum design of composed concrete structures" and by the research plan of MŠMT of the Czech Republic no. MSM0021630519 "Progressive reliable and durable structures".
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O intervalových odhadech pravděpodobností, zvláště malých
Klaschka, Jan
Práce se zabývá modifikací Clopper-Pearsonova konfidenčního intervalu pro parametr binomického rozdělení při nulovém nebo plném počtu úspěchů. Ukazuje se, že modifikace, která má stále své přívržence, je nekorektní. Dále jsou připomenuty některé lepší alternativy k nejběžněji používaným typům konfidenčních intervalů.
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