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Application of statitistics to the measurement of characteristics of planar objects
Šedivý, Ondřej ; Beneš, Viktor (referee) ; Saxl, Ivan (advisor)
Nazev prace: Aplikace gcometricke statistiky na mefeni charakteristik rovinnych objektu Autor: Ondfej Sedivy Katcdra: Katedra pravdcpodobnosli a matematicke statistiky Vcdouci bakalafske pracc: RNDr. Ivan Saxl, DrSc, c mail vedouciho: saxl@math.cas.cz Abstrakt: Ci'lem prace je podat strucny a co nejpristupneji napsany pfehled odhadu charakteristik rovinnych objektu z vyberu ponzenych geometrickyini prostfedky. Prvni dvc kapitoly jsou obecncjst'ho razu. Pojednavaji o rozdilech mczi klasickym a geometrickym vyberem z populace a naznafiujf n^ktere zakladni principy dale vyuiivane. Naslcduji ukazky pouziti geomelrickc statistiky k odhadum zakladnich charakteristik pro rovinne souboiy bodu, kfivek a ploch. Kratka zaverecna stat'je včnovana zpusobu zkoumani trojrozmernych objektO. V textu jsou take podrobne zpracovany historicke Buffonovy ulohy ojehle a ctverci. Klicuva slova: geometricka statistika, klasicky a gcomctricky vybeY, Buffonovy ulohy Title: Application of geometrical statistics for measuring characteristics of planar objects Author: Ondfej Sedivy Department: Department of Probability and Mathematical Statistics Supervisor: RNDr. Ivan Saxl, DrSc. Supervisor's e-mail address: saxl@math.cas.cz Abstract: The aim of this work is to offer a short and clearly written review of estimations of characteristics...

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