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GRIN Verlag Die Benford-Verteilung. Anwendung auf reale Daten der Marktforschung

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£56.50 £55.84 £55.98 £56.13 £56.27 £56.42 £56.56 09 April 2026 29 April 2026 19 May 2026 08 June 2026 28 June 2026

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Description

Diplomarbeit aus dem Jahr 2007 im Fachbereich Mathematik - Stochastik, Note: 1,0, Technische Universität Dresden (Fachrichtung Mathematik - Institut für Mathematische Stochastik), Sprache: Deutsch, Abstract: Die vorliegende Arbeit handelt von Benfords Gesetz über die Verteilung signifikanter Ziffern von realen Zahlen und dessen Anwendung in der Marktforschung. Benfords Gesetz besagt kurzgefasst, dass die Anfangsziffern bestimmter Datenmengen nicht gleichverteilt sind, sondern einer logarithmischen Verteilung folgen. Es werden ein Wahrscheinlichkeitsraum für Benfords Gesetz und Formeln für die Verteilung der ersten, zweiten und n-ten Ziffer sowie die gemeinsame Verteilung der ersten n Ziffern eingeführt. Ferner werden die besonderen Eigenschaften der Benford-Verteilung wie die Skalen- und die Baseninvarianz betrachtet. Als Hauptresultat wird ein Grenzwertsatz für signifikante Ziffern angegeben und bewiesen. Als besondere Anwendungsmöglichkeit wird die Aufdeckung von Fälschungen bei Interviews in der Marktforschung betrachtet. Dazu werden die Prozesse der Datenerhebung beleuchtet und Ergebnisse bisheriger Studien vorgestellt. Die verschiedenen in der Marktforschung auftauchenden Datentypen werden analysiert und ihre Eignung als Prüfgrößen untersucht. Darauf aufbauend wird ein Programm zum Test auf die Benford-Verteilung vorgestellt und eine mögliche Testfrage auf Tauglichkeit untersucht.

Key Features

Used Book in Good Condition

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
14 July 2008
Listed Since
07 October 2009

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