Index Theory and Price Statistics

Index Theory and Price Statistics

Author: Peter von der Lippe

Publisher: Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften

Published: 2007

Total Pages: 592

ISBN-13:

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This textbook integrates mathematical index theory and its application in official price statistics. It tries to bridge theory and practice, due to the apparent divergence between mathematicians with ever more sophisticated and complex models and practitioners with problems that are more and more difficult to understand without broad knowledge and some experience. The text offers an introduction into axiomatic, microeconomic and stochastic reasoning as regards index numbers, with moderately difficult mathematics. It also summarizes many ongoing discussions concerning methodological merits and demerits of specific indices, such as consumer price-, producer price-, unit value- and chain indices, in official price statistics. The book is comprehensive and presents a readable overview of a great number of topics in modern price index theory and their application in inflation measurement, deflation of aggregates in National Accounts, sampling and quality adjustment in price collection and other important though controversial issues.


Consumer Price Index Manual

Consumer Price Index Manual

Author: International Labour Office

Publisher: International Labour Organization

Published: 2004-08-25

Total Pages: 578

ISBN-13: 9789221136996

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The consumer price index (CPI) measures the rate at which prices of consumer goods and services change over time. It is used as a key indicator of economic performance, as well as in the setting of monetary and socio-economic policy such as indexation of wages and social security benefits, purchasing power parities and inflation measures. This manual contains methodological guidelines for statistical offices and other agencies responsible for constructing and calculating CPIs, and also examines underlying economic and statistical concepts involved. Topics covered include: expenditure weights, sampling, price collection, quality adjustment, sampling, price indices calculations, errors and bias, organisation and management, dissemination, index number theory, durables and user costs.


Export and Import Price Index Manual: Theory and Practice

Export and Import Price Index Manual: Theory and Practice

Author: OECD

Publisher: OECD Publishing

Published: 2010-04-06

Total Pages: 705

ISBN-13: 9264085416

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A joint production by six international organizations, this manual explores the conceptual and theoretical issues that national statistical offices should consider in the daily compilation of export and import price indices. Intended for use by both ...


The Making of Tests for Index Numbers

The Making of Tests for Index Numbers

Author: Arthur Vogt

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 227

ISBN-13: 366213179X

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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 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)


Index Theory with Applications to Mathematics and Physics

Index Theory with Applications to Mathematics and Physics

Author: David Bleecker

Publisher: Amer Mathematical Society

Published: 2013

Total Pages: 766

ISBN-13: 9781571462640

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Describes, explains, and explores the Index Theorem of Atiyah and Singer, one of the truly great accomplishments of twentieth-century mathematics whose influence continues to grow, fifty years after its discovery. David Bleecker and Bernhelm Boo�-Bavnbek give two proofs of the Atiyah-Singer Index Theorem in impressive detail: one based on K-theory and the other on the heat kernel approach.


Industrial Price, Quantity, and Productivity Indices

Industrial Price, Quantity, and Productivity Indices

Author: Bert M. Balk

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 247

ISBN-13: 147575454X

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Industrial Price, Quantity, and Productivity Indices: The Micro-Economic Theory and an Application gives a comprehensive account of the micro-economic foundations of industrial price, quantity, and productivity indices. The various results available from the literature have been brought together into a consistent framework, based upon modern duality theory. This integration also made it possible to generalize several of these results. Thus, this book will be an important resource for theoretically as well as empirically-oriented researchers who seek to analyse economic problems with the help of index numbers. Although this book's emphasis is on micro-economic theory, it is also intended as a practical guide. A full chapter is therefore devoted to an empirical application. Three different approaches are pursued: a straightforward empirical approach, a non-parametric estimation approach, and a parametric estimation approach. As well as illustrating some of the more important concepts explored in this book, and showing to what extent different computational approaches lead to different outcomes for the same measures, this chapter also makes a powerful case for the use of enterprise micro-data in economic research.


A Practical Introduction to Index Numbers

A Practical Introduction to Index Numbers

Author: Jeff Ralph

Publisher: John Wiley & Sons

Published: 2015-06-17

Total Pages: 232

ISBN-13: 1118977807

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This book provides an introduction to index numbers for statisticians, economists and numerate members of the public. It covers the essential basics, mixing theoretical aspects with practical techniques to give a balanced and accessible introduction to the subject. The concepts are illustrated by exploring the construction and use of the Consumer Prices Index which is arguably the most important of all official statistics in the UK. The book also considers current issues and developments in the field including the use of large-scale price transaction data. A Practical Introduction to Index Numbers will be the ideal accompaniment for students taking the index number components of the Royal Statistical Society Ordinary and Higher Certificate exams; it provides suggested routes through the book for students, and sets of exercises with solutions.


Higher Index Theory

Higher Index Theory

Author: Rufus Willett

Publisher: Cambridge University Press

Published: 2020-07-02

Total Pages: 595

ISBN-13: 1108853110

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Index theory studies the solutions to differential equations on geometric spaces, their relation to the underlying geometry and topology, and applications to physics. If the space of solutions is infinite dimensional, it becomes necessary to generalise the classical Fredholm index using tools from the K-theory of operator algebras. This leads to higher index theory, a rapidly developing subject with connections to noncommutative geometry, large-scale geometry, manifold topology and geometry, and operator algebras. Aimed at geometers, topologists and operator algebraists, this book takes a friendly and concrete approach to this exciting theory, focusing on the main conjectures in the area and their applications outside of it. A well-balanced combination of detailed introductory material (with exercises), cutting-edge developments and references to the wider literature make this a valuable guide to this active area for graduate students and experts alike.


Price Index Concepts and Measurement

Price Index Concepts and Measurement

Author: W. Erwin Diewert

Publisher: University of Chicago Press

Published: 2010-02-15

Total Pages: 531

ISBN-13: 0226148572

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Although inflation is much feared for its negative effects on the economy, how to measure it is a matter of considerable debate that has important implications for interest rates, monetary supply, and investment and spending decisions. Underlying many of these issues is the concept of the Cost-of-Living Index (COLI) and its controversial role as the methodological foundation for the Consumer Price Index (CPI). Price Index Concepts and Measurements brings together leading experts to address the many questions involved in conceptualizing and measuring inflation. They evaluate the accuracy of COLI, a Cost-of-Goods Index, and a variety of other methodological frameworks as the bases for consumer price construction.