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The Making of Tests for Index Numbers : Mathematical Methods of Descriptive Statistics - Arthur Vogt

The Making of Tests for Index Numbers

Mathematical Methods of Descriptive Statistics

Hardcover Published: 14th April 1997
ISBN: 9783790810110
Number Of Pages: 220

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Arthur Vogt has devoted a great deal of his scientific efforts to both person and work of Irving Fisher. This book, written with Janos 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)

"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

Foreword
Preface
Acknowledgement
Introductionp. 1
About Irving Fisherp. 6
Price indicesp. 9
Traditional treating of properties of price indicesp. 39
Modern treating of properties of indices: their automatic generationp. 69
A new axiom system for price indicesp. 117
First generalisations: Other interpretations of the "prices" and "quantities"p. 135
Second generalisation: Functions other than the scalar productp. 157
Third generalisation: Other statistical measures and their propertiesp. 165
Bibliographyp. 203
Main symbols usedp. 215
Table: Common structure of several measures in descriptive statisticsp. 217
Annex A3: Indexp. 219
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783790810110
ISBN-10: 3790810118
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 220
Published: 14th April 1997
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 24.77 x 16.51  x 2.54
Weight (kg): 0.48