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Generalized Random Coefficients With Equivalence Scale Applications

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Abstract

We propose a generalization of random coefficients models, in which the regression model is an unknown function of a vector of regressors, each of which is multiplied by an unobserved error. We also investigate a more restrictive model which is additive (or additive with interactions) in unknown functions of each regressor multiplied by its error. We show nonparametric identification of these models. In addition to providing a natural generalization of random coefficients, we provide economic motivations for the model based on demand system estimation. In these applications, the random coefficients can be interpreted as random utility parameters that take the form of Engel scales or Barten scales, which in the past were estimated as deterministic preference heterogeneity or household technology parameters. We apply these results to consumer surplus and related welfare calculations.

Suggested Citation

  • Arthur Lewbel & Krishna Pendakur, 2012. "Generalized Random Coefficients With Equivalence Scale Applications," Discussion Papers dp12-13, Department of Economics, Simon Fraser University.
    • Handle: RePEc:sfu:sfudps:dp12-13
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    File URL: http://www.sfu.ca/repec-econ/sfu/sfudps/dp12-13.pdf
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    Cited by:

    1. Pierre Dubois & Rachel Griffith & Aviv Nevo, 2014. "Do Prices and Attributes Explain International Differences in Food Purchases?," American Economic Review, American Economic Association, vol. 104(3), pages 832-867, March.
    2. Lan, Jing & Khan, Sufyan Ullah & Sadiq, Muhammad & Chien, Fengsheng & Baloch, Zulfiqar Ali, 2022. "Evaluating energy poverty and its effects using multi-dimensional based DEA-like mathematical composite indicator approach: Findings from Asia," Energy Policy, Elsevier, vol. 165(C).
    3. Gautier, Eric & Hoderlein, Stefan, 2011. "A triangular treatment effect model with random coefficients in the selection equation," TSE Working Papers 15-598, Toulouse School of Economics (TSE), revised 25 Aug 2015.

    More about this item

    Keywords

    Unobserved heterogeneity; Nonseparable errors; Random utility parameters; Random coefficients; Equivalence scales; Consumer surplus; Welfare calculations;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

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