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Linearizing the inverse quadratic almost ideal demand system

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  • Toshinobu Matsuda

Abstract

This article investigates the linear approximation to the inverse quadratic almost ideal demand system (IQUAIDS), a recently introduced flexible functional form with potential usefulness. Linearizing this nonlinear model is of practical importance because nonstationary data, which are likely to be used in inverse demand systems, can be handled more properly in linear models. The IQUAIDS is linearized by replacing the two aggregator functions with a number of alternative quantity indices and new composite variables. The results of an application to Japanese fresh food demand suggest that the IQUAIDS can be linearized with adequate accuracy in terms of elasticities.

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  • Toshinobu Matsuda, 2007. "Linearizing the inverse quadratic almost ideal demand system," Applied Economics, Taylor & Francis Journals, vol. 39(3), pages 381-396.
  • Handle: RePEc:taf:applec:v:39:y:2007:i:3:p:381-396
    DOI: 10.1080/00036840600825779
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    as
    1. Michelini, Claudio, 1999. "The estimation of a rank 3 demand system with demographic demand shifters from quasi-unit record data of household consumption," Economics Letters, Elsevier, vol. 65(1), pages 17-24, October.
    2. Cheshire, Paul & Sheppard, Stephen, 2002. "The welfare economics of land use planning," Journal of Urban Economics, Elsevier, vol. 52(2), pages 242-269, September.
    3. Beach, Charles M & MacKinnon, James G, 1979. "Maximum Likelihood Estimation of Singular Equation Systems with Autoregressive Disturbances," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(2), pages 459-464, June.
    4. Eales, James S. & Unnevehr, Laurian J., 1994. "The inverse almost ideal demand system," European Economic Review, Elsevier, vol. 38(1), pages 101-115, January.
    5. Laitinen, Kenneth & Theil, Henri, 1979. "The Antonelli matrix and the reciprocal Slutsky matrix," Economics Letters, Elsevier, vol. 3(2), pages 153-157.
    6. Karagiannis, G. & Katranidis, S. & Velentzas, K., 2000. "An error correction almost ideal demand system for meat in Greece," Agricultural Economics, Blackwell, vol. 22(1), pages 29-35, January.
    7. Philippe J. Deschamps, 2003. "Time-varying intercepts and equilibrium analysis: an extension of the dynamic almost ideal demand model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(2), pages 209-236.
    8. Robert H. Beach & Matthew T. Holt, 2001. "Incorporating Quadratic Scale Curves in Inverse Demand Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(1), pages 230-245.
    9. Holt, Matthew T., 2002. "Inverse demand systems and choice of functional form," European Economic Review, Elsevier, vol. 46(1), pages 117-142, January.
    10. Chalfant, James A, 1987. "A Globally Flexible, Almost Ideal Demand System," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(2), pages 233-242, April.
    11. Adolf Buse, 1994. "Evaluating the Linearized Almost Ideal Demand System," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(4), pages 781-793.
    12. Irwin, Douglas A., 2003. "The optimal tax on antebellum US cotton exports," Journal of International Economics, Elsevier, vol. 60(2), pages 275-291, August.
    13. Ryan, David L & Wales, Terence J, 1998. "A Simple Method for Imposing Local Curvature in Some Flexible Consumer-Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 331-338, July.
    14. Banks, James & Blundell, Richard & Lewbel, Arthur, 1996. "Tax Reform and Welfare Measurement: Do We Need Demand System Estimation?," Economic Journal, Royal Economic Society, vol. 106(438), pages 1227-1241, September.
    15. Luo, Guo Ying, 2002. "Collective Decision-Making and Heterogeneity in Tastes," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 213-226, April.
    16. I. A. Moosa & J. L. Baxter, 2002. "Modelling the trend and seasonals within an AIDS model of the demand for alcoholic beverages in the United Kingdom," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(2), pages 95-106.
    17. West, Sarah E. & Williams, R.C.Roberton III, 2004. "Estimates from a consumer demand system: implications for the incidence of environmental taxes," Journal of Environmental Economics and Management, Elsevier, vol. 47(3), pages 535-558, May.
    18. Moschini, Giancarlo, 1999. "Imposing Local Curvature Conditions in Flexible Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(4), pages 487-490, October.
    19. Gordon Anderson & Richard Blundell, 1983. "Testing Restrictions in a Flexible Dynamic Demand System: An Application to Consumers' Expenditure in Canada," Review of Economic Studies, Oxford University Press, vol. 50(3), pages 397-410.
    20. Douglas Fisher & Adrian R. Fleissig & Apostolos Serletis, 2006. "An Empirical Comparison of Flexible Demand System Functional Forms," World Scientific Book Chapters,in: Money And The Economy, chapter 13, pages 247-277 World Scientific Publishing Co. Pte. Ltd..
    21. Michelini, Claudio, 2001. "Estimating the Cost of Children from New Zealand Quasi-unit Record Data of Household Consumption," The Economic Record, The Economic Society of Australia, vol. 77(239), pages 383-392, December.
    22. Richard Blundell & Jean-Marc Robin, 2000. "Latent Separability: Grouping Goods without Weak Separability," Econometrica, Econometric Society, vol. 68(1), pages 53-84, January.
    23. Nicol, Christopher J, 1991. "The Effect of Expenditure Aggregation on Hypothesis Tests in Consumer Demand Systems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(2), pages 405-416, May.
    24. Silvia Tiezzi, 2002. "Environmental defensive expenditures and households behaviour in Italy," Applied Economics, Taylor & Francis Journals, vol. 34(16), pages 2053-2061.
    25. Lewbel, Arthur, 1995. "Consistent nonparametric hypothesis tests with an application to Slutsky symmetry," Journal of Econometrics, Elsevier, vol. 67(2), pages 379-401, June.
    26. Kesavan, T & Buhr, Brian, 1995. "Price Determination and Dynamic Adjustments: An Inverse Demand System Approach to Meat Products in the United States," Empirical Economics, Springer, vol. 20(4), pages 681-698.
    27. J. A. L. Cranfield & James S. Eales & Thomas W. Hertel & Paul V. Preckel, 2003. "Model selection when estimating and predicting consumer demands using international, cross section data," Empirical Economics, Springer, vol. 28(2), pages 353-364, April.
    28. Ng, Serena, 1995. "Testing for Homogeneity in Demand Systems When the Regressors Are Nonstationary," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 147-163, April-Jun.
    29. Blundell, Richard & Robin, Jean Marc, 1999. "Estimation in Large and Disaggregated Demand Systems: An Estimator for Conditionally Linear Systems," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(3), pages 209-232, May-June.
    30. Kjell G. Salvanes, 1997. "Market Delineation and Demand Structure," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(1), pages 139-150.
    31. Holt, Matthew T & Goodwin, Barry K, 1997. "Generalized Habit Formation in an Inverse Almost Ideal Demand System: An Application to Meat Expenditures in the U.S," Empirical Economics, Springer, vol. 22(2), pages 293-320.
    32. Nicol, C. J., 2003. "Elasticities of demand for gasoline in Canada and the United States," Energy Economics, Elsevier, vol. 25(2), pages 201-214, March.
    33. Alston, Julian M & Foster, Kenneth A & Green, Richard D, 1994. "Estimating Elasticities with the Linear Approximate Almost Ideal Demand System: Some Monte Carlo Results," The Review of Economics and Statistics, MIT Press, vol. 76(2), pages 351-356, May.
    34. Panayiota Lyssiotou, 2003. "On estimating the cost of characteristics indices from consumer demand analysis," Canadian Journal of Economics, Canadian Economics Association, vol. 36(2), pages 326-349, May.
    35. James Banks & Richard Blundell & Arthur Lewbel, 1997. "Quadratic Engel Curves And Consumer Demand," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 527-539, November.
    36. Giancarlo Moschini, 1995. "Units of Measurement and the Stone Index in Demand System Estimation," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 77(1), pages 63-68.
    37. Richard C. Bishop & Matthew T. Holt, 2002. "A semiflexible normalized quadratic inverse demand system: an application to the price formation of fish," Empirical Economics, Springer, vol. 27(1), pages 23-47.
    38. Abdulai, Awudu & Aubert, Dominique, 2004. "A cross-section analysis of household demand for food and nutrients in Tanzania," Agricultural Economics, Blackwell, vol. 31(1), pages 67-79, July.
    39. Giannis Karagiannis & Kostas Velentzas, 2004. "Decomposition analysis of consumers' demand changes: an application to Greek consumption data," Applied Economics, Taylor & Francis Journals, vol. 36(5), pages 497-504.
    40. Chambers, Marcus J., 1990. "Forecasting with demand systems : A comparative study," Journal of Econometrics, Elsevier, vol. 44(3), pages 363-376, June.
    41. H. Youn Kim, 1997. "Functional Separability and Elasticities of Complementarity," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(4), pages 1177-1181.
    42. Angus Deaton, 1979. "The Distance Function in Consumer Behaviour with Applications to Index Numbers and Optimal Taxation," Review of Economic Studies, Oxford University Press, vol. 46(3), pages 391-405.
    43. Blanciforti, Laura & Green, Richard, 1983. "An Almost Ideal Demand System Incorporating Habits: An Analysis of Expenditures on Food and Aggregate Commodity Groups," The Review of Economics and Statistics, MIT Press, vol. 65(3), pages 511-515, August.
    44. Burton, Michael & Young, Trevor, 1992. "The Structure of Changing Tastes for Meat and Fish in Great Britain," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 19(2), pages 165-180.
    45. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    46. Capps Jr., Oral & Church, Jeffrey & Alan Love, H., 2003. "Specification issues and confidence intervals in unilateral price effects analysis," Journal of Econometrics, Elsevier, vol. 113(1), pages 3-31, March.
    47. Richard Green & Julian M. Alston, 1990. "Elasticities in AIDS Models," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(2), pages 442-445.
    48. Daniele Moro & Paolo Sckokai, 2002. "Functional separability within a quadratic inverse demand system," Applied Economics, Taylor & Francis Journals, vol. 34(3), pages 285-293.
    49. D Moro & P Sckokai, 2000. "Heterogeneous preferences in household food consumption in Italy," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 27(3), pages 305-323, September.
    50. Adam, Christopher S, 1999. "Asset Portfolios and Credit Rationing: Evidence from Kenya," Economica, London School of Economics and Political Science, vol. 66(261), pages 97-117, February.
    51. Berndt, Ernst R & Savin, N Eugene, 1975. "Estimation and Hypothesis Testing in Singular Equation Systems with Autoregressive Disturbances," Econometrica, Econometric Society, vol. 43(5-6), pages 937-957, Sept.-Nov.
    52. Unayama, Takashi, 2004. "Upward bias in the consumer price index under the zero-inflation economy," Economics Letters, Elsevier, vol. 85(1), pages 139-144, October.
    53. Denton, Frank T & Mountain, Dean C & Spencer, Byron G, 1999. "Age, Trend, and Cohort Effects in a Macro Model of Canadian Expenditure Patterns," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(4), pages 430-443, October.
    54. Brown, Mark G & Lee, Jonq-Ying & Seale, James L, Jr, 1995. "A Family of Inverse Demand Systems and Choice of Functional Form," Empirical Economics, Springer, vol. 20(3), pages 519-530.
    55. Tirtha Dhar & Jeremy D. Foltz, 2005. "Milk by Any Other Name … Consumer Benefits from Labeled Milk," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(1), pages 214-228.
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