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Shift Restrictions and Semiparametric Estimation in Ordered Response Models

Author

Listed:
  • Roger W. Klein

    (Dept. of Economics, New Jersey Hall, 75 Hamilton St., Rutgers University, New Brunswick, NJ 08901, U.S.A.)

  • Robert P. Sherman

    (Div. of Humanities and Social Sciences 227-88, California Institute of Technology, Pasadena, CA 91125, U.S.A.)

Abstract

We develop a √"n"-consistent and asymptotically normal estimator of the parameters (regression coefficients and threshold points) of a semiparametric ordered response model under the assumption of independence of errors and regressors. The independence assumption implies shift restrictions allowing identification of threshold points up to location and scale. The estimator is useful in various applications, particularly in new product demand forecasting from survey data subject to systematic misreporting. We apply the estimator to assess exaggeration bias in survey data on demand for a new telecommunications service. Copyright The Econometric Society 2002.

Suggested Citation

  • Roger W. Klein & Robert P. Sherman, 2002. "Shift Restrictions and Semiparametric Estimation in Ordered Response Models," Econometrica, Econometric Society, vol. 70(2), pages 663-691, March.
    • Handle: RePEc:ecm:emetrp:v:70:y:2002:i:2:p:663-691
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    Citations

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    Cited by:

    1. Bellemare, C. & Melenberg, B. & van Soest, A.H.O., 2002. "Semi-parametric Models for Satisfaction with Income," Other publications TiSEM a7ab8987-444a-4ab0-b566-c, Tilburg University, School of Economics and Management.
    2. David M Kaplan & Wei Zhao, 2023. "Comparing latent inequality with ordinal data," The Econometrics Journal, Royal Economic Society, vol. 26(2), pages 189-214.
    3. Yuichi Kitamura & Louise Laage, 2018. "Nonparametric Analysis of Finite Mixtures," Papers 1811.02727, arXiv.org.
    4. Stefan Boes, 2013. "Nonparametric analysis of treatment effects in ordered response models," Empirical Economics, Springer, vol. 44(1), pages 81-109, February.
    5. Juan Mora & Ana I. Moro, 2006. "Consistent Specification Test For Ordered Discrete Choice Models," Working Papers. Serie AD 2006-17, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    6. Michael Lechner & Gabriel Okasa, 2019. "Random Forest Estimation of the Ordered Choice Model," Papers 1907.02436, arXiv.org, revised Sep 2022.
    7. William H. Greene & David A. Hensher, 2008. "Modeling Ordered Choices: A Primer and Recent Developments," Working Papers 08-26, New York University, Leonard N. Stern School of Business, Department of Economics.
    8. Bo E. Honoré & Aureo de Paula, 2009. ""Interdependent Durations" Third Version," PIER Working Paper Archive 09-039, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Feb 2008.
    9. De los Santos, Babur, 2018. "Consumer search on the Internet," International Journal of Industrial Organization, Elsevier, vol. 58(C), pages 66-105.
    10. Bo E. Honore & Aureo de Paula, 2007. "Interdependent Durations, Second Version," PIER Working Paper Archive 08-044, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Nov 2008.
    11. Arthur Lewbel, 2002. "Ordered Response Threshold Estimation," Boston College Working Papers in Economics 535, Boston College Department of Economics, revised 29 Oct 2003.
    12. Tatiana Komarova & William Matcham, 2022. "Multivariate ordered discrete response models," Papers 2205.05779, arXiv.org, revised Mar 2023.
    13. Yixiao Jiang, 2021. "Semiparametric Estimation of a Corporate Bond Rating Model," Econometrics, MDPI, vol. 9(2), pages 1-20, May.
    14. James E. Prieger, 2004. "An Empirical Investigation of Biased Survey Data and an Attempted Cure," Working Papers 145, University of California, Davis, Department of Economics.
    15. Giuseppe De Luca & Valeria Perotti, 2011. "Estimation of ordered response models with sample selection," Stata Journal, StataCorp LP, vol. 11(2), pages 213-239, June.
    16. Jürgen Maurer, 2007. "Socioeconomic and Health Determinants of Health Care Utilization Among Elderly Europeans: A Semiparametric Assessment of Equity, Intensity and Responsiveness for Ten European Countries," MEA discussion paper series 07144, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    17. Ilhom Abdulloev, 2018. "Job dissatisfaction and migration: evidence from Tajikistan," IZA Journal of Migration and Development, Springer;Forschungsinstitut zur Zukunft der Arbeit GmbH (IZA), vol. 8(1), pages 1-27, December.
    18. Charles Bellemare & Bertrand Melenberg & Arthur van Soest van Soest, 2002. "Semi-parametric models for satisfaction with income," CeMMAP working papers 12/02, Institute for Fiscal Studies.
    19. Melanie Lührmann & Jürgen Maurer, 2007. "Who wears the trousers? A semiparametric analysis of decision power in couples," CeMMAP working papers CWP25/07, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    20. Bo E. Honor & Áureo De Paula, 2010. "Interdependent Durations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(3), pages 1138-1163.
    21. Tan, Xin Lu, 2019. "Optimal estimation of slope vector in high-dimensional linear transformation models," Journal of Multivariate Analysis, Elsevier, vol. 169(C), pages 179-204.
    22. Arkadiusz Szydlowski, 2017. "Testing a parametric transformation model versus a nonparametric alternative," Discussion Papers in Economics 17/15, Division of Economics, School of Business, University of Leicester.
    23. Christian N. Brinch, 2008. "Non-parametric Identification of the Mixed Hazards Model with Interval-Censored Durations," Discussion Papers 539, Statistics Norway, Research Department.
    24. James E. Prieger, 2004. "An Empirical Investigation of Biased Survey Data and an Attempted Cure," Working Papers 44, University of California, Davis, Department of Economics.
    25. Daniel Gutknecht & Cenchen Liu, 2023. "Generalized Difference-in-Differences for Ordered Choice Models: Too Many "False Zeros"?," Papers 2401.00618, arXiv.org.

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