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Maß- Und Wahrscheinlichkeitstheorie: Eine Einführung by Norbert Kusolitsch

Maß- Und Wahrscheinlichkeitstheorie: Eine Einführung

by Norbert Kusolitsch
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Book cover type: Paperback
  • ISBN13: 9783642453861
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Publication Date:
  • Pages: 353
  • Original Price: EUR 42.05
  • Language: German
  • Edition: 2., Uberarb. U.
  • Item Weight: 586 grams
  • BISAC Subject(s): Mathematical Analysis

Das Buch ist eine kompakte, leicht lesbare Einführung in die Ma - und Integrationstheorie samt Wahrscheinlichkeitstheorie, in der auch auf den für das Verständnis wichtigen Bezug zur klassischen Analysis, etwa in Abschnitten über Funktionen von beschränkter Variation oder dem Hauptsatz der Differential- und Integralrechnung eingegangen wird. Trotz seines verhältnismä ig geringen Umfangs behandelt es alle wesentlichen Themen dieser Fachgebiete, wie Mengensysteme, Mengenfunktionen Ma fortsetzung, Unabhängigkeit, Lebesgue-Stieltjes-Ma e, Verteilungsfunktionen, messbare Funktionen, Zufallsvariable, Integral, Erwartungswert, Konvergenzsätze, Transformationssätze, Produkträume, Satz von Fubini, Zerlegungssätze, Funktionen von beschränkter Variation, Hauptsatz der Differential- und Integralrechnung, Lp-Räume, Bedingte Erwartungen, Gesetze der gro en Zahlen, Ergodensätze, Martingale, Verteilungskonvergenz, charakteristische Funktionen und die Grenzverteilungssätze von Lindeberg und Feller.

Norbert Kusolitsch ist a.o. Professor am Institut für Statistik und Wahrscheinlichkeitstheorie an der Technischen Universität Wien, Österreich

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