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Testing for the Monotone Likelihood Ratio Assumption

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  • Roosen, Jutta
  • Hennessy, David A.

Abstract

Monotonicity of the likelihood ratio for conditioned densities is a common technical assumption in economic models. But we have found no empirical tests for its plausibility. This paper develops such a test based on the theory of order-restricted inference, which is robust with respect to the correlation structure of the distributions being compared. We apply the test to study the technology revealed by agricultural production experiments. For the data under scrutiny, the results support the assumption of the monotone likelihood ratio. In a second application, we find some support for the assumption of affiliation among bids cast in a multiple-round Vickrey auction for a consumption good. Keywords: affiliation, auction, likelihood ratio, order-restricted inference, stochastic order.

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Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 10193.

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Date of creation: 13 Feb 2003
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Publication status: Published in Journal of Business & Economic Statistics, June 2004, vol. 22, pp. 358-366
Handle: RePEc:isu:genres:10193

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Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
Fax: +1 515.294.0221
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Web page: http://www.econ.iastate.edu
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  1. Davidson, R. & Duclos, J.-Y., 1998. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," G.R.E.Q.A.M. 98a14, Universite Aix-Marseille III.
  2. Kenneth Hendricks, 1990. "Auctions for Oil and Gas Leases with an Informed Bidder and a Random Reservation Price," Discussion Papers 910, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. Beach, Charles M & Richmond, James, 1985. "Joint Confidence Intervals for Income Shares and Lorenz Curves," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 439-50, June.
  4. Shogren, Jason F. & Shin, Seung Youll & Hayes, Dermot J. & Kliebenstein, James, 1994. "Resolving Differences in Willingness to Pay and Willingness to Accept," Staff General Research Papers 701, Iowa State University, Department of Economics.
  5. Bruce A. Babcock & David A. Hennessy, 1996. "Input Demand under Yield and Revenue Insurance," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(2), pages 416-427.
  6. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  7. repec:cup:etheor:v:10:y:1994:i:5:p:849-66 is not listed on IDEAS
  8. John A. List & Jason F. Shogren, 1999. "Price Information and Bidding Behavior in Repeated Second-Price Auctions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(4), pages 942-949.
  9. Athey, Susan, 2002. "Monotone Comparative Statics Under Uncertainty," Scholarly Articles 3372263, Harvard University Department of Economics.
  10. Kaur, Amarjot & Prakasa Rao, B.L.S. & Singh, Harshinder, 1994. "Testing for Second-Order Stochastic Dominance of Two Distributions," Econometric Theory, Cambridge University Press, vol. 10(05), pages 849-866, December.
  11. Buhong Zheng, 2002. "Testing Lorenz Curves with Non-Simple Random Samples," Econometrica, Econometric Society, vol. 70(3), pages 1235-1243, May.
  12. Anderson, Gordon, 1996. "Nonparametric Tests of Stochastic Dominance in Income Distributions," Econometrica, Econometric Society, vol. 64(5), pages 1183-93, September.
  13. Beach, Charles M & Davidson, Russell, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," Review of Economic Studies, Wiley Blackwell, vol. 50(4), pages 723-35, October.
  14. Savin, N.E., 1984. "Multiple hypothesis testing," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 14, pages 827-879 Elsevier.
  15. Innes, Robert, 1993. "Financial Contracting under Risk Neutrality, Limited Liability and Ex ante Asymmetric Information," Economica, London School of Economics and Political Science, vol. 60(237), pages 27-40, February.
  16. Susan Athey, 2002. "Monotone Comparative Statics Under Uncertainty," The Quarterly Journal of Economics, MIT Press, vol. 117(1), pages 187-223, February.
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Cited by:
  1. Jun, Sung Jae & Pinkse, Joris & Wan, Yuanyuan, 2010. "A consistent nonparametric test of affiliation in auction models," Journal of Econometrics, Elsevier, vol. 159(1), pages 46-54, November.
  2. Isabell Goldberg & Jutta Roosen & Rodolfo M. Nayga, 2009. "Parental response to health risk information: experimental results on willingness-to-pay for safer infant milk formula," Health Economics, John Wiley & Sons, Ltd., vol. 18(5), pages 503-518.

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