Einführung in die Wahrscheinlichkeitstheorie - Bookswagon UAE
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Einführung in die Wahrscheinlichkeitstheorie

Einführung in die Wahrscheinlichkeitstheorie


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About the Book

Eine Vorlesung zur Einführung in die Wahrscheinlichkeitstheorie gehört – neben den Standardvorlesungen Analysis und Lineare Algebra – zur Grundausbildung eines jeden Mathematikers. Vielen Studierenden bereitet der Umgang mit dem "Zufall" Schwierigkeiten. Das Ziel des vorliegenden Buches ist, eine leicht lesbare und gründliche Einführung in die Wahrscheinlichkeitstheorie zu bieten; eine Vielzahl von anschaulichen und sorgfältig ausgewählten Beispielen soll den Studierenden helfen, den Zufall in den Griff zu bekommen. Dabei ist dem Autor eine klare und vollständige Darstellung der Theorie ebenso wichtig wie Beispiele und Abbildungen, die schwer aussehende Sachverhalte verdeutlichen. In zahlreichen Abbildungen und in über 100 Beispielen wird die Theorie illustriert und in verständlichen Worten formuliert. Der Inhalt des Buches ist klassisch und deckt eine erste Einführung in die Wahrscheinlichkeitstheorie – der Theorie des Zufalls – ab.

Table of Contents:
Einleitung.- Grundbegriffe.- Diskrete Verteilungen und Zufallsvariablen.- Absolutstetige Verteilungen und Zufallsvariablen.- Verteilungen auf der reellen Achse.- Zufallsvariablen und ihr Erwartungswert.- Unabhängige Zufallsvariablen und Produktmaße.- Transformationen von Zufallsvariablen mit Dichten.- Charakteristische Funktionen.- Konvergenz von Zufallsvariablen und Verteilungen.- Grenzwertsätze.- Gaußsche Zufallsvektoren.- A Analysis.- B Lineare Algebra.- C Symbole.

About the Author :
Stefan Tappe ist Juniorprofessor an der Leibniz Universität Hannover. Im Rahmen seiner Vorlesungen hat er bereits viel Lehrerfahrung im Bereich Stochastik sammeln können. Seine Forschungsschwerpunkte liegen in der Angewandten Wahrscheinlichkeitstheorie, der Stochastischen Analysis und der Finanz- und Versicherungsmathematik.


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Product Details
  • ISBN-13: 9783642375439
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 240 mm
  • No of Pages: 303
  • Width: 168 mm
  • ISBN-10: 364237543X
  • Publisher Date: 06 Sep 2013
  • Binding: Paperback
  • Language: German
  • Returnable: Y


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