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W. Erwin Diewert

Bio: W. Erwin Diewert is an academic researcher from University of British Columbia. The author has contributed to research in topics: Productivity & Index (economics). The author has an hindex of 39, co-authored 161 publications receiving 8098 citations. Previous affiliations of W. Erwin Diewert include National Bureau of Economic Research & University of New South Wales.


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TL;DR: A key development in the economic theory of index numbers has been the demonstration that many index number formulas can be explicitly derived from particular aggregator functions as mentioned in this paper, which provides a powerful new basis for selecting an index number procedure.
Abstract: Early in this century economists began to give serious attention to making comparisons using index number techniques. There was extensive debate as to which index number formulas were the most appropriate for carrying out comparisons.1 The debate was extensive in no small part due to the lack of agreement as to criteria for preferring one formula over another. In recent decades there has been a resurgence of interest in index numbers, resulting from discoveries that the properties of index numbers can be directly related to the properties of the underlying aggregator functions that they represent. The underlying functions - production functions, utility functions, etc. - are the building blocks of economic theory, and the study of relationships between these functions and index number formulas has been referred to by Samuelson and Swamy (I974) as the economic theory of index numbers.2 A key development in the economic theory of index numbers has been the demonstration that numerous index number formulas can be explicitly derived from particular aggregator functions. This development provides a powerful new basis for selecting an index number procedure. Rather than starting the selection process with a number of plausible index number formulas, one can specify an aggregator function with desirable properties and derive the corresponding index number procedure. The resulting index is termed exact for that particular aggregator function. Diewert (I976) makes a strong case for limiting the consideration of aggregator functions to those which are flexible, i.e. those which can provide a second order approximation to an arbitrary aggregator function. He has termed index numbers that are exact for flexible aggregator functions 'superlative '. There are two superlative index numbers that are of particular interest - the Fisher Ideal index and the Tornqvist-Theil-translog index. Fisher (I 922) dubbed the following index Ideal since it best satisfied his several criteria for choosing among index numbers:

1,660 citations

Posted Content
TL;DR: In this article, the authors developed two methods for imposing curvature conditions globally in the context of cost function estimation, based on a generalization of a functional form first proposed by McFadden.
Abstract: Empirically estimated flexible functional forms frequently fail to satisfy the appropriate theoretical curvature conditions. Lau and Gallant and Golub have worked out methods for imposing the appropriate curvature conditions locally, but those local techniques frequently fail to yield satisfactory results. We develop two methods for imposing curvature conditions globally in the context of cost function estimation. The first method adopts Lau's technique to a generalization of a functional form first proposed by McFadden. Using this Generalized McFadden functional form, it turns out that imposing the appropriate curvature conditions at one data point imposes the conditions globally. The second method adopts a technique used by McFadden and Barnett, which is based on the fact that a non-negative sum of concave functions will be concave. Our various suggested techniques are illustrated using the U.S. Manufacturing data utilized by Berndt and Khaled

1,014 citations

ReportDOI
TL;DR: In this paper, the authors developed two methods for imposing curvature conditions globally in the context of cost function estimation, based on a generalization of a functional form first proposed by McFadden.
Abstract: Empirically estimated flexible functional forms frequently fail to satisfy the appropriate theoretical curvature conditions. Lau and Gallant and Golub have worked out methods for imposing the appropriate curvature conditions locally, but those local techniques frequently fail to yield satisfactory results. We develop two methods for imposing curvature conditions globally in the context of cost function estimation. The first method adopts Lau's technique to a generalization of a functional form first proposed by McFadden. Using this Generalized McFadden functional form, it turns out that imposing the appropriate curvature conditions at one data point imposes the conditions globally. The second method adopts a technique used by McFadden and Barnett, which is based on the fact that a non-negative sum of concave functions will be concave. Our various suggested techniques are illustrated using the U.S. Manufacturing data utilized by Berndt and Khaled

853 citations

Posted Content
01 Jan 1980

275 citations

Journal ArticleDOI
TL;DR: In this article, a method for decomposing the deviations from a full frontier cost function into Farrell (1957) measures of technical and allocative efficiency is presented, which is applicable to a broad class of cost functions, including flexible functions such as the translog.

235 citations


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TL;DR: In this article, the authors outline the production function approach to the estimation of the returns to R&D and then discuss in turn two very difficult problems: the measurement of output in R&DI intensive industries and the definition and measurement of the stock of R&DC 'capital'.
Abstract: The article outlines the production function approach to the estimation of the returns to R&D and then proceeds to discuss in turn two very difficult problems: the measurement of output in R&D intensive industries and the definition and measurement of the stock of R&D 'capital'. Multicollinearity and simultaneity are taken up in the next section and another section is devoted to estimation and inference problems arising more specifically in the R&D context. Several recent studies of returns to R&D are then surveyed, and the paper concludes with suggestions for ways of expanding the current data base in this field.

4,003 citations

01 Jan 1994
TL;DR: In this article, the authors analyzed productivity growth in seventeen OECD countries over the period 1979-88 and found that U.S. productivity growth is slightly higher than average, all of which is due to technical change.
Abstract: This paper analyzes productivity growth in seventeen OECD countries over the period 1979-88. A nonparametric programming method (activity analysis) is used to compute Malmquist productivity indexes. These are decomposed into two component measures, namely, technical change and efficiency change. The authors find that U.S. productivity growth is slightly higher than average, all of which is due to technical change. Japan's productivity growth is the highest in the sample with almost half due to efficiency change. Copyright 1994 by American Economic Association.

3,851 citations

Posted Content
TL;DR: In this article, a nonparametric programming method (activity analysis) is used to compute the Malmquist productivity indexes, which are decomposed into two component measures, namely, technical change and efficiency change.
Abstract: This paper analyzes productivity growth in 17 OECD countries over the period 1979-1988. A nonparametric programming method (activity analysis) is used to compute Malmquist productivity indexes. These are decomposed into two component measures, namely, technical change and efficiency change. We find that U.S. productivity growth is slightly higher than average, all of which is due to technical change. Japan's productivity growth is the highest in the sample, with almost half due to efficiency change. (JEL C43, D24) In this paper we apply recently developed

3,434 citations