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Beziehungen zwischen Wahrscheinlichkeitsverteilungen by Baumann, Alexander

Beziehungen zwischen Wahrscheinlichkeitsverteilungen

by Alexander Baumann
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Book cover type: Paperback
  • ISBN13: 9783668515598
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Grin Verlag
  • Publisher Imprint: Grin Verlag
  • Publication Date:
  • Pages: 34
  • Original Price: USD 21.5
  • Language: German
  • Edition: N/A
  • Item Weight: 59 grams
  • BISAC Subject(s): Probability & Statistics / General

Facharbeit (Schule) aus dem Jahr 2016 im Fachbereich Mathematik - Stochastik, Note: 11 Punkte, Sprache: Deutsch, Abstract: In dieser Arbeit werden vier Wahrscheinlichkeitsverteilungen (WK-Verteilungen) näher betrachtet, die zu den wichtigsten in der Stochastik zählen. Am Anfang jeder Einführung einer neuen WK-Verteilung werden zunächst deren Eigenschaften theoretisch untersucht. Danach werden wir uns auf die Anwendung solcher Funktionen fokussieren. Dabei werden wir feststellen, dass all diese Verteilungen miteinander verknüpft sind. Somit sind die Beziehungen zwischen den einzelnen Verteilungen besonders zu beachten und werden deswegen genauer unter die Lupe genommen. Als erstes wird jedoch noch die WK-Verteilung an sich durch die Axiome von Kolmogorow definiert. Anschlie end werden die vier Verteilungen, wie oben erläutert, thematisiert. Diese setzen sich zusammen aus der Binomialverteilung, Hypergeometrische Verteilung, Poisson-Verteilung un der Normalverteilung. Abschlie end werden all diese Funktionen in einem Schaubild zusammengefasst. Die Normalverteilung ist das grö te Kapitel der Arbeit, da der Grenzwertsatz von Moivre-Laplace, die Berechnung des Integrals der Normalverteilung und der Zentrale Grenzwertsatz rechnerisch ausgeführt worden sind. Dabei ist alles auf Abitur-Niveau erklärt, kompliziertere Sachverhalte wurden sehr detailliert und verständlich erklärt.

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