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Ma- und Wahrscheinlichkeitstheorie

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Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783642453861
Condition
New
Product Description

Das Buch ist eine kompakte, leicht lesbare Einfhrung in die Ma- und Integrationstheorie samt Wahrscheinlichkeitstheorie, in der auch auf den fr das Verstndnis wichtigen Bezug zur klassischen Analysis, etwa in Abschnitten ber Funktionen von beschrnkter Variation oder dem Hauptsatz der Differential- und Integralrechnung eingegangen wird. Trotz seines verhltnismig geringen Umfangs behandelt es alle wesentlichen Themen dieser Fachgebiete, wie Mengensysteme, Mengenfunktionen Mafortsetzung, Unabhngigkeit, Lebesgue-Stieltjes-Mae, Verteilungsfunktionen, messbare Funktionen, Zufallsvariable, Integral, Erwartungswert, Konvergenzstze, Transformationsstze, Produktrume, Satz von Fubini, Zerlegungsstze, Funktionen von beschrnkter Variation, Hauptsatz der Differential- und Integralrechnung, Lp-Rume, Bedingte Erwartungen, Gesetze der groen Zahlen, Ergodenstze, Martingale, Verteilungskonvergenz, charakteristische Funktionen und die Grenzverteilungsstze von Lindeberg und Feller.

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