May 2015
Intermediate to advanced
448 pages
12h 53m
German
Content preview from Stochastik, 5th Edition
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Kapitel 9
Rund um die Normalverteilung
Gegenstand dieses kurzen Kapitels sind einige zentrale Verteilungen der Statistik. Und zwar die Verteilungen von Zufallsvariablen, die durch bestimmte Transformationen aus unabhängigen standardnormalverteilten Zufallsvariablen hervorgehen. Bei linearen Transformationen entstehen die allgemeinen mehrdimensionalen Normal- oder Gauß-Verteilungen, und gewisse quadratische oder gebrochen quadratische Abbildungen führen auf die Chiquadrat-, F- und t-Verteilungen, die bei der Konstruktion von Konfidenzintervallen und Tests in normalverteilten oder asymptotisch normalverteilten Modellen eine große Rolle spielen.
9.1 Die mehrdimensionale Normalverteilung
Wir beginnen mit einem grundlegenden Hilfsmittel aus der ...
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