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Wahrscheinlichkeit: Stochastik: Von Abweichungen Bis Zufall by Schilling, René L.

Wahrscheinlichkeit: Stochastik: Von Abweichungen Bis Zufall

by René L. Schilling
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Book cover type: Paperback
  • ISBN13: 9783111342115
  • Binding: Paperback
  • Subject: N/A
  • Publisher: de Gruyter
  • Publisher Imprint: de Gruyter
  • Publication Date:
  • Pages: 232
  • Original Price: USD 38.99
  • Language: German
  • Edition: 2., Uberarbeite
  • Item Weight: 440 grams
  • BISAC Subject(s): Probability & Statistics / General

Die Wahrscheinlichkeitstheorie gehört zu den Kerndisziplinen der modernen Mathematikausbildung. Sie ist die Grundlage für alle Modelle, die "Risiko" und "Unsicherheit" einbeziehen. Dieses Lehrbuch gibt einen direkten, verlässlichen und modernen Zugang zu den wichtigsten Ergebnissen der mathematischen Wahrscheinlichkeitstheorie. Aufbauend auf dem Band "Ma & Integral" werden zunächst elementare Fragen Wahrscheinlichkeitsverteilungen, Zufallsvariable, Unabhängigkeit, bedingte Wahrscheinlichkeiten und charakteristische Funktionen - bis hin zu einfachen Grenzwertsätzen behandelt. Diese Themen werden dann um das Studium von Summen unabhängiger Zufallsvariablen - Gesetze der Gro en Zahlen, Null-Eins-Gesetze, random walks, zentraler Grenzwertsatz von Lindeberg-Feller - ergänzt. Allgemeine bedingte Erwartungen, Anwendungen von charakteristischen Funktionen und eine Einführung in die Theorie unendlich teilbarer Verteilungen und der gro en Abweichungen runden die Darstellung ab. In gleicher Ausstattung erscheint der Folgeband "Martingale & Prozesse".

Lösungen zu den im Buch befindlichen Übungsaufgaben unter: http: //www.motapa.de/stoch/index.shtml

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