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Properties of Cauchy Distribution and their Applications Quaye, Samson ; Žák, Libor (referee) ; Hübnerová, Zuzana (advisor) Cauchyho distribuce hraje hlavní roli v biologii, matematice, fyzice a mnoha příbuzných oborech. V důsledku toho je důležitá metodologie odhadu parametrů pro data, která jsou distribuována podle Cauchyho distribuce. Nicméně Cauchyho distribuce je dobře známá tím, že způsobuje potíže s klasickými přístupy k odhadu parametrů. Tato diplomová práce se zabývá studiem vlastností Cauchyho distribuce. Je prezentováno několik robustních odhadů jeho parametru umístění. Simulační studie naprogramovaná v Pythonu nám umožňuje porovnat výkonnost odhadů těchto parametrů při odhadu křivky Bi-Cauchy ROC. Dále jsou studovány některé teoretické vlastnosti Bi-Cauchyho ROC křivky. Detailed record

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