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The Making of Tests for Index Numbers

Mathematical Methods of Descriptive Statistics

  • Book
  • © 1997

Overview

Authors:
  1. Arthur Vogt

    1. Burgdorf, Switzerland

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  2. János Barta

    1. Savosa, Switzerland

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XIV
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  2. Introduction

    • Arthur Vogt, János Barta
    Pages 1-5

  3. About Irving Fisher

    • Arthur Vogt, János Barta
    Pages 6-8

  4. Price Indices

    • Arthur Vogt, János Barta
    Pages 9-38

  5. Traditional Treating of Properties of Price Indices

    • Arthur Vogt, János Barta
    Pages 39-67

  6. Modern Treating of Properties of Indices: Their Automatic Generation

    • Arthur Vogt, János Barta
    Pages 69-115

  7. A New Axiom System for Price Indices

    • Arthur Vogt, János Barta
    Pages 117-134

  8. First Generalisations: Other Interpretations of the “Prices” and “Quantities”

    • Arthur Vogt, János Barta
    Pages 135-156

  9. Second Generalisation: Functions Other Than the Scalar Product

    • Arthur Vogt, János Barta
    Pages 157-163

  10. Third Generalisation: Other Statistical Measures and Their Properties

    • Arthur Vogt, János Barta
    Pages 165-201

  11. Back Matter

    Pages 203-220
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Keywords

About this book

Arthur Vogt has devoted a great deal of his scientific efforts to both person and work of Irving Fisher. This book, written with Jànos Barta, gives an excellent impression of Fisher's great contributions to the theory of the price index on the one hand. On the other hand, it continues Fisher's work on this subject along the lines which several authors drew with respect to price index theory since Fisher's death fifty years ago.
"This is a highly instructive book on both the history and theory of measurement in economics. It is rather a rich source of interesting properties of more or less well known indices and famous men, especially Irving Fisher, than a precise mathematical text on the axiomatic foundations of indices." (From the Foreword by Wolfgang Eichhorn)

Reviews

"In summary, the book provides a valuable survey of traditional procedures in the construction of price indices and demonstrates new techniques to build indices and to test for their properties. Researchers and scientists who are engaged in the field of statistical index number theory can improve their understanding of modern index theory when reading the book." Zentralblatt für Mathematik, 878, 1998

Authors and Affiliations

  • Burgdorf, Switzerland

    Arthur Vogt

  • Savosa, Switzerland

    János Barta

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