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Author:   Arthur Vogt ,  Janos Barta
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Physica-Verlag GmbH & Co
Edition:   Softcover reprint of hardcover 1st ed. 1997
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.368kg
ISBN:  

9783790824568

ISBN 10:   3790824569
Pages:   220
Publication Date:   19 October 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Contents: Foreword by Wolfgang Eichhorn.- Preface.- Acknowledgement.- Introduction.- About Irving Fisher.- 1. Price indices: Some price indices illustrated with a two-commodities example.- The discrepancy between the indices of Laspeyres and Paasche.- The index of Divisia and some special cases.- Some other price indices.- 2. Traditional treating of properties of price indices: The price index problem: price indices as continuations of price relatives.- Properties of price relatives.- Three kinds of properties: axioms, theorems and tests.- Fisher's properties.- Axiom systems for price indices.- Some other porperties.- Characterizations of some indices.- 3. Modern treating of properties of indices: their automatic generation: The making of reversal tests of indices.- The making of antitheses of properties of indices.- Automated reasoning and one of its assistants: OTTER.- OTTER applied to properties of price indices.- 4. A new axiom system for price indices: Are there exact 'societal' sciences?- The new axiom system for price indices.- An antitheses invariant axiom system.- Consistency and independance.- The axiom system äPü for indices depending on 4 or 3 variables.- 5. First generalisations: Other interpretations of the 'prices' and 'quantities': Statistical masses and functions defined on them.- Quotas.- Densities.- Indices.- Cases where the set function m is also a content.- The Drobisch-Simpson's paradox and indices.- 6. Second generalisation: Functions other than the scalar product: Additive causal analysis.- Multiplicative causal analysis.- An example from health insurance.- 7. Third generalisation: Other statistical measures and their properties: Generalities.- The measurement of concentration and inequality.- Further measures of descriptive statistics.- Five properties.- Bibliography.- Annexes.

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"

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 fur Mathematik, 878, 1998

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