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Simultaneous equations in ordered discrete responses with regressor-dependent thresholds

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  • Myoung-Jae Lee
  • Ayal Kimhi

Abstract

The parameters of ordered discrete response (ODR) models are identified only up to a positive scale. In this paper, we examine the identification issue for simultaneous equations with ODR, where the well-known identification problem in simultaneous equations of recovering structural-form parameters from reduced-form parameters is compounded with the ODR identification problem. We allow the thresholds in ODR to be regressor dependent as well as constant; the former is particularly challenging because threshold parameters get mixed with regression parameters, adding one more dimension to the identification problem. We also explore a cross-equation restriction on threshold differences, under which the structural form parameters are fully identified as if the dependent variables are continuously distributed. An empirical example with farm--household joint labour supply is provided to illustrate the identification issues, to show how our proposals work and to apply tests devised for the threshold constancy and cross-equation restrictions. Copyright 2005 Royal Economic Society

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Bibliographic Info

Article provided by Royal Economic Society in its journal The Econometrics Journal.

Volume (Year): 8 (2005)
Issue (Month): 2 (07)
Pages: 176-196

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Handle: RePEc:ect:emjrnl:v:8:y:2005:i:2:p:176-196

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Cited by:
  1. Changhui Kang & Myoung-jae Lee, 2010. "Performance Of Various Estimators For Censored Response Models With Endogenous Regressors," Pacific Economic Review, Wiley Blackwell, vol. 15(4), pages 447-463, October.
  2. Ory, David Terrance, 2007. "Structural Equation Modeling of Relative Desired Travel Amounts," University of California Transportation Center, Working Papers qt7rb3x52m, University of California Transportation Center.
  3. Ory, David T, 2007. "Structural Equation Modeling of Relative Desired Travel Amounts," Institute of Transportation Studies, Working Paper Series qt8mj659fp, Institute of Transportation Studies, UC Davis.
  4. Myoung-jae Lee, 2008. "Method-of-moment view of linear simultaneous equation systems," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 62(2), pages 230-238.
  5. Myoung-jae Lee & Pao-Li Chang, 2007. "Avoiding arbitrary exclusion restrictions using ratios of reduced-form estimates," Empirical Economics, Springer, vol. 33(2), pages 339-357, September.

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