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Mathematical models in biology
Vidová, Katarína ; Šremr, Jiří (referee) ; Opluštil, Zdeněk (advisor)
The focus of this thesis is on a model construction from the field of mathematical biology describing interaction predator-prey. The most elementary Lotka–Volterra model is compared with more realistic models, i.e. intraspecific competition model and Gause model. Finally, the models are applied in specific situations and solution trajectories are drawn using Matlab.
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Statistical properties of control charts and capability models
Vidová, Katarína ; Jankových, Róbert (referee) ; Bednář, Josef (advisor)
The diploma thesis is focused on process stability and capability assessment. It describes certain types of control charts, basic capability indices as well as Box-Cox transformation. The practical part of the study is concerned with applying control charts on generated data and consequently on real data. By this, it focuses on comparing various methods of estimating sample standard deviation and on the impact of non-compliance with the assumption of normal distribution of process variable on process stability and capability assessment.
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Statistical properties of control charts and capability models
Vidová, Katarína ; Jankových, Róbert (referee) ; Bednář, Josef (advisor)
The diploma thesis is focused on process stability and capability assessment. It describes certain types of control charts, basic capability indices as well as Box-Cox transformation. The practical part of the study is concerned with applying control charts on generated data and consequently on real data. By this, it focuses on comparing various methods of estimating sample standard deviation and on the impact of non-compliance with the assumption of normal distribution of process variable on process stability and capability assessment.
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|
|
Mathematical models in biology
Vidová, Katarína ; Šremr, Jiří (referee) ; Opluštil, Zdeněk (advisor)
The focus of this thesis is on a model construction from the field of mathematical biology describing interaction predator-prey. The most elementary Lotka–Volterra model is compared with more realistic models, i.e. intraspecific competition model and Gause model. Finally, the models are applied in specific situations and solution trajectories are drawn using Matlab.
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