Aggregation of economic growth rates and of its sources

In this paper we consider the question of measuring aggregate economic growth and its sources. We derive a theoretically justified solution for aggregating (across firms, industries, countries, etc.) growth rates and their sources within the framework of Solow's (1957) growth accounting method. The resulting aggregation scheme turns out to be quite intuitive and, in fact, the one that is sometimes used in practice, but with theoretical justification missing and so the main value of our work is that our formal derivations show under what conditions this scheme has economic theory justification. We also provide a small empirical illustration of our method on the real data set and show how different the conclusions can be depending on the aggregation scheme used.

[1]  D. Weil,et al.  A Contribution to the Empirics of Economic Growth Author ( s ) : , 2008 .

[2]  R. Shepherd Theory of cost and production functions , 1970 .

[3]  E. Domar,et al.  ON THE MEASUREMENT OF TECHNOLOGICAL CHANGE , 1961 .

[4]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[5]  Valentin Zelenyuk,et al.  Extending Färe and Zelenyuk (2003) , 2007, Eur. J. Oper. Res..

[6]  Valentin Zelenyuk,et al.  Aggregation of Malmquist productivity indexes , 2006, Eur. J. Oper. Res..

[7]  B. Efron Bootstrap Methods: Another Look at the Jackknife , 1979 .

[8]  Valentin Zelenyuk,et al.  Testing for (Efficiency) Catching-up , 2007 .

[9]  R. Russell,et al.  Human Capital and Convergence: A Production-Frontier Approach , 2005 .

[10]  Sung-Ko Li,et al.  Measuring the productive efficiency of a group of firms , 1995 .

[11]  Valentin Zelenyuk,et al.  On aggregate Farrell efficiencies , 2003, Eur. J. Oper. Res..

[12]  R. Färe,et al.  Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries , 1994 .

[13]  D. Primont,et al.  Multi-Output Production and Duality: Theory and Applications , 1994 .

[14]  Valentin Zelenyuk,et al.  Measuring potential gains from reallocation of resources , 2007 .

[15]  Léopold Simar,et al.  Statistical inference for aggregates of Farrell-type efficiencies , 2007 .

[16]  Timo Kuosmanen,et al.  The law of one price in data envelopment analysis: Restricting weight flexibility across firms , 2003, Eur. J. Oper. Res..

[17]  R. Solow TECHNICAL CHANGE AND THE AGGREGATE PRODUCTION FUNCTION , 1957 .

[18]  Valentin Zelenyuk,et al.  Technological Change and Transition: Relative Contributions to Worldwide Growth During the 1990s , 2008 .

[19]  L. R. Christensen,et al.  THE ECONOMIC THEORY OF INDEX NUMBERS AND THE MEASUREMENT OF INPUT, OUTPUT, AND PRODUCTIVITY , 1982 .

[20]  R. R. Russell,et al.  Technological Change, Technological Catch-up, and Capital Deepening: Relative Contributions to Growth and Convergence , 2002 .