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Aggregation with Log-Linear Models

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Author Info
Lewbel, Arthur

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Abstract

When economic theory suggests a log-linear specification for individual agents, e.g., Cobb-Douglas production, it is common to estimate the same log-linear model with aggregate data, invoking a representative agent assumption and thereby assuming away aggregation errors. This paper gives necessary and sufficient restrictions on the distribution of agents in an economy for log-linear agent models to aggregate into log-linear macro models, and discusses the aggregation bias resulting from violation of these restrictions. Theorems, tests, economic rationales, and empirical results are given. Included are connections to random walks and to cointegration. Analogous results for log-level models are derived. Copyright 1992 by The Review of Economic Studies Limited.

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Publisher Info
Article provided by Blackwell Publishing in its journal Review of Economic Studies.

Volume (Year): 59 (1992)
Issue (Month): 3 (July)
Pages: 635-42
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Handle: RePEc:bla:restud:v:59:y:1992:i:3:p:635-42

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  1. Werner Hildenbrand & Alois Kneip, 2004. "Aggregate Behavior and Microdata," Bonn Econ Discussion Papers bgse3_2004, University of Bonn, Germany, revised Jun 2004. [Downloadable!]
  2. Frank T. Denton & Dean C. Mountain, 2007. "Exploring the Effects of Aggregation Error in the Estimation of Consumer Demand Elasticities," Social and Economic Dimensions of an Aging Population Research Papers 226, McMaster University. [Downloadable!]
  3. Hiroshi Fujiki & Cheng Hsiao, 2008. "Aggregate and Household Demand for Money: Evidence from Public Opinion Survey on Household Financial Assets and Liabilities," IMES Discussion Paper Series 08-E-17, Institute for Monetary and Economic Studies, Bank of Japan. [Downloadable!]
  4. Robert Dekle & Hyeok Jeong & Heajin Ryoo, 2006. "A Re-examination of the Exchange Rate Disconnect Puzzle: Evidence from Japanese Firm Level Data," IEPR Working Papers 06.46, Institute of Economic Policy Research (IEPR). [Downloadable!]
  5. Arthur Lewbel, 1993. "Stochastic Hicksian Aggregation with an Application to Grouping Goods without Separable Utility," Annales d'Economie et de Statistique, ADRES, issue 29, pages 03, Janvier-M. [Downloadable!]
  6. Evan Osborne, 2000. "Labor Surplus In Korea: A Reassessment," International Economic Journal, Korean International Economic Association, vol. 14(4), pages 125-141, December. [Downloadable!] (restricted)
  7. Pedro H. Albuquerque, 2003. "A practical log-linear aggregation method with examples: heterogeneous income growth in the USA," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(6), pages 665-678. [Downloadable!]
  8. Michal Paluch & Alois Kneip & Werner Hildenbrand, 2007. "Individual versus Aggregate Income Elasticities for Heterogeneous Populations," Bonn Econ Discussion Papers bgse13_2007, University of Bonn, Germany. [Downloadable!]
  9. Frank T. Denton & Dean C. Mountain, 2002. "Aggregation Effects on Price and Expenditure Elasticities in a Quadratic Almost Ideal Demand System," Quantitative Studies in Economics and Population Research Reports 374, McMaster University. [Downloadable!]
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  10. Fushang Liu & Kajal Lahiri, 2006. "Modelling multi-period inflation uncertainty using a panel of density forecasts," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(8), pages 1199-1219. [Downloadable!]
  11. Giorgio Fagiolo, 2001. "Engel Curves Specification in an Artificial Model of Consumption Dynamics with Socially Evolving Preferences," LEM Papers Series 2001/16, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy. [Downloadable!]
  12. Yan Shen & Cheng Hsiao & Hiroshi Fujiki, 2005. "Aggregate vs. disaggregate data analysis-a paradox in the estimation of a money demand function of Japan under the low interest rate policy," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(5), pages 579-601. [Downloadable!]
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  13. Alessandro Girardi & Paolo Paesani, 2008. "The Transfer Problem in the Euro Area," Open Economies Review, Springer, vol. 19(4), pages 517-537, September. [Downloadable!] (restricted)
  14. Jean Imbs & Eric Jondeau & Florian Pelgrin, 2007. "Aggregating Phillips curves," Working Paper Series 785, European Central Bank. [Downloadable!]
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  15. Liu, Qinghua & Shumway, C. Richard, 2003. "Testing Aggregation Consistency Across Geography And Commodities," 2003 Annual meeting, July 27-30, Montreal, Canada 22201, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association). [Downloadable!]
  16. Erik Biørn and Terje Skjerpen, 2002. "Aggregation and Aggregation Biases in Production Functions: A Panel Data Analysis of Translog Models," Discussion Papers 317, Research Department of Statistics Norway. [Downloadable!]
  17. Pedro H. Albuquerque, 2005. "Inequality-Driven Growth: Unveiling Aggregation Effects in Growth Equations," Development and Comp Systems 0511028, EconWPA. [Downloadable!]
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