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title: Uogólniony rozkład gamma i rozkład potęgowy jako rozkład trwałości elementów (PD-1970-02)
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description: Celem rozprawy jest zbadanie pewnych teoretycznych aspektów badań niezawodności elementów nienaprawialnych. Rozkładami prawdopodobieństwa, które mogą opisywać trwałość elementów systemu i są opisane w tej pracy są rozkład potęgowy oraz uogólniony rozkład gamma. Podano tutaj ich podstawowe własności oraz związki jakie między nimi zachodzą. Przeanalizowano funkcje ryzyka dla obu rozkładów i wpływ jaki mają na nie ich parametry. Przedstawiono sposoby estymacji parametrów rozkładów za pomocą metody największej wiarogodności oraz graficznie i sposób wnioskowania przy niepełnej informacji. Rozprawa ma charakter głównie teoretyczny, jednak uzupełnia ją również przykład liczbowy.
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type: Thesis
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acceptance date: 2023-01-13
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