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Necessary and sufficient conditions for latent separability

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Author Info
Ian Crawford () (Institute for Fiscal Studies and University of Oxford)

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Abstract

This paper extends the nonparametric methods developed by Samuelson (1948), Houthakker (1950), Afriat (1973), Diewert (1973) and Varian (1982, 1983) to latently separable models. It presents necessary and sufficient empirical conditions under which data on the market behaviour of a price-taking consumer, and a hypothesised allocation across latent groups are nonparametrically consistent with latent separability (Gorman (1968, 1978), Blundell and Robin (2000)). It considers homothetic latent separability and weak separability as special cases.

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File URL: http://cemmap.ifs.org.uk/wps/cwp0402.pdf
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Paper provided by Institute for Fiscal Studies in its series IFS Working Papers with number W04/17.

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Length: 5 pp.
Date of creation: Jun 2004
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Handle: RePEc:ifs:ifsewp:04/17

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Richard Blundell & Jean-Marc Robin, 2000. "Latent Separability: Grouping Goods without Weak Separability," Econometrica, Econometric Society, vol. 68(1), pages 53-84, January.
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  2. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July. [Downloadable!] (restricted)
  3. Afriat, S N, 1973. "On a System of Inequalities in Demand Analysis: An Extension of the Classical Method," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 460-72, June. [Downloadable!] (restricted)
  4. Varian, Hal R, 1983. "Non-Parametric Tests of Consumer Behaviour," Review of Economic Studies, Blackwell Publishing, vol. 50(1), pages 99-110, January. [Downloadable!] (restricted)
  5. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-97, May. [Downloadable!] (restricted)
  6. Diewert, W E, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Blackwell Publishing, vol. 40(3), pages 419-25, July. [Downloadable!] (restricted)
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  1. Laura Blow & Martin Browning & Ian Crawford, 2005. "Revealed preference analysis of characteristics models," Department of Economics Discussion Papers 0305, Department of Economics, University of Surrey. [Downloadable!]
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