Wahrscheinlichkeitsrechnung und Statistik mit MATLAB
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Wahrscheinlichkeitsrechnung und Statistik mit MATLAB: Anwendungsorientierte Einführung für Ingenieure und Naturwissenschaftler

Wahrscheinlichkeitsrechnung und Statistik mit MATLAB: Anwendungsorientierte Einführung für Ingenieure und Naturwissenschaftler


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About the Book

Dieses Buch führt in die grundlegenden Begriffe und Werkzeuge der Wahrscheinlichkeitsrechnung ein. Zentrale Begriffe und Methoden der angewandten mathematischen Statistik werden beschrieben, und weitergehende statistische Verfahren wie die Varianz- und Regressionsanalyse oder nichtparametrische Verfahren werden diskutiert. Moderne Techniken wie die Monte-Carlo-Methode und wichtige Anwendungsgebiete aus dem ingenieurwissenschaftlichen Bereich werden vorgestellt. Alle Themen werden weitestgehend unter Verwendung von MATLAB bearbeitet. Dies erlaubt die Diskussion praxisorientierter Beispiele und die grafische Visualisierung. Die verwendeten MATLAB-Programme werden ausführlich kommentiert und dem Leser als Begleitsoftware auf der Homepage des Autors zur Verfügung gestellt. Das Buch enthält über 100 Übungsaufgaben mit vollständigen Lösungen. Für die zweite Auflage wurden die Darstellung noch übersichtlicher gestaltet und die Übungsaufgaben ergänzt. Das Buch eignet sichfür Studierende aller ingenieurwissenschaftlichen und naturwissenschaftlichen Fachrichtungen an Universitäten und Fachhochschulen.

Table of Contents:
Einführung.- Wahrscheinlichkeitsrechnung (Zufall und Ereignis. Der Begriff der Wahrscheinlichkeit. Axiomatische Definition der Wahrscheinlichkeit. Stochastische Unabhängigkeit und bedingte Wahrscheinlichkeit. Zufallsvariablen und Verteilungen. Unabhängige Zufallsvariable. Weitere spezifische Verteilungen und ihre Anwendungen. Grenzwertsätze.- Monte-Carlo-Simulationen.- Statistische Tolerierung.- Mathematische Statistik.- Monte-Carlo-Analysen.- Statistische Prozesskontrolle.- Lösungen zu den Übungen.- Herleitung von Verteilungen.- Verteilungstabellen.- Begleitsoftwareindex.- Literatur- u. Stichwortverzeichnis.

About the Author :
Ottmar Beucher ist seit 1993  Professor für Mathematik, Informatik und numerische Signalverarbeitung am Fachbereich Mechatronik und Naturwissenschaften der Fachhochschule Karlsruhe - Hochschule für Technik.

Review :
From the reviews of the first edition: "This book is considered for undergraduate courses in engineering sciences. It provides the necessary tools of mathematical statistics ... . One important feature of the book is the discussion of the mathematical notions with many examples from application areas ... . Further, MATLAB and its statistical toolbox are used for the analysis of the examples and for visualisation. Each section ends with exercises and solutions to these more than 100 exercises are given at the end of the book." (Evelyn Buckwar, Zentralblatt MATH, Vol. 1081, 2006)


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Product Details
  • ISBN-13: 9783540721550
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Edition: Revised edition
  • Language: German
  • Returnable: Y
  • Sub Title: Anwendungsorientierte Einführung für Ingenieure und Naturwissenschaftler
  • ISBN-10: 354072155X
  • Publisher Date: 18 Sep 2007
  • Binding: Paperback
  • Height: 235 mm
  • No of Pages: 535
  • Returnable: N
  • Width: 155 mm


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