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Measuring welfare effects in models with random coefficients

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  • Meijer, E.
  • Rouwendal, J.

    (Groningen University)

Abstract

In economic research, it is often important to express the marginal value of a variable in monetary terms. This marginal monetary value is the ratio of two partial derivatives of the conditional indirect utility function, which reduces to the ratio of two coefficients if the utility function is linear. Based on the overwhelming evidence of taste differences among people, random coefficient models have become increasingly more popular in recent years. In random coefficient models, the marginal monetary value is the ratio of two random coefficients and is thus random itself. In this paper, we study the distribution of this ratio and particularly the consequences of different distributional assumptions about the coefficients. It is shown both analytically and empirically that important characteristics of the distribution of the marginal monetary value may be sensitive to the distributional assumptions about the random coefficients. The median, however, is much less sensitive than the mean. The authors would like to thank Ton Steerneman for stimulating discussions and helpful comments.

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Paper provided by University of Groningen, Research Institute SOM (Systems, Organisations and Management) in its series Research Report with number 00F25.

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Date of creation: 2000
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Handle: RePEc:dgr:rugsom:00f25

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  1. David Revelt & Kenneth Train, 1998. "Mixed Logit With Repeated Choices: Households' Choices Of Appliance Efficiency Level," The Review of Economics and Statistics, MIT Press, vol. 80(4), pages 647-657, November.
  2. Elrod, Terry & Keane, Michael, 1995. "A Factor-Analytic Probit Model for Representing the Market Structure in Panel Data," MPRA Paper 52434, University Library of Munich, Germany.
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  4. Hogg, Robert V. & Klugman, Stuart A., 1983. "On the estimation of long tailed skewed distributions with actuarial applications," Journal of Econometrics, Elsevier, vol. 23(1), pages 91-102, September.
  5. Erik Meijer & Jan Rouwendal, 2006. "Measuring welfare effects in models with random coefficients," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(2), pages 227-244.
  6. Gallant, Ronald & Tauchen, George, 1989. "Seminonparametric Estimation of Conditionally Constrained Heterogeneous Processes: Asset Pricing Applications," Econometrica, Econometric Society, vol. 57(5), pages 1091-1120, September.
  7. Kenneth E. Train, 1998. "Recreation Demand Models with Taste Differences over People," Land Economics, University of Wisconsin Press, vol. 74(2), pages 230-239.
  8. Hensher, David & Louviere, Jordan & Swait, Joffre, 1998. "Combining sources of preference data," Journal of Econometrics, Elsevier, vol. 89(1-2), pages 197-221, November.
  9. Kim, Byung-Do & Blattberg, Robert C & Rossi, Peter E, 1995. "Modeling the Distribution of Price Sensitivity and Implications for Optimal Retail Pricing," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 291-303, July.
  10. Rinus Haaijer & Michel Wedel & Marco Vriens & Tom Wansbeek, 1998. "Utility Covariances and Context Effects in Conjoint MNP Models," Marketing Science, INFORMS, vol. 17(3), pages 236-252.
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  12. Ben-Akiva, M. & Bolduc, D. & Bradley, M., 1993. "Estimation of Travel Choice Models with Randomly Distributed Values of Time," Papers 9303, Laval - Recherche en Energie.
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