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Semiparametric Estimation of a Censored Regression Model with an Unknown Transformation of the Dependent Variable

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Author Info
Tue Gorgens (Univ. of Iowa)
Joel L. Horowitz (Univ. of Iowa)

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Abstract

In this paper we develo psemiparametric estimators of L and y in the model L(Y) = min[b›X + U,C], where Y is a nonnegative dependent variable, X is a vector of explanatory variables, U is an unobserved random "error" term with unknown distribution function y, C is a random censoring variable, b is an unknown parameter vector, and L is an unknown strictly increasing function. This model includes as a special case the censored proportional hazards model with unobserved heterogeneity. Estimators of L and y already exist for the case where either L or y belongs to a known finite-dimensional parametric family, and methods for estimating b exist for the general case. In this paper we propose estimators of L and y which do not assume that L and y belong to known parametric families. We obtain their asymptotic distributions and investigate the small sample properties of the estimators by Monte Carlo simulation.

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Paper provided by EconWPA in its series Econometrics with number 9603001.

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Length: 39 pages
Date of creation: 05 Mar 1996
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Handle: RePEc:wpa:wuwpem:9603001

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Find related papers by JEL classification:
C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General
C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
C5 - Mathematical and Quantitative Methods - - Econometric Modeling
C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Horowitz, Joel & Hardle, Wolfgang, 1994. "Direct Semiparametric Estimation of Single-Index Models With Discrete Covariates," Working Papers 94-22, University of Iowa, Department of Economics.
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  2. Heckman, James & Singer, Burton, 1984. "A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data," Econometrica, Econometric Society, vol. 52(2), pages 271-320, March. [Downloadable!] (restricted)
  3. Kiefer, Nicholas M, 1988. "Economic Duration Data and Hazard Functions," Journal of Economic Literature, American Economic Association, vol. 26(2), pages 646-79, June. [Downloadable!] (restricted)
  4. Ichimura, H., 1991. "Semiparametric Least Squares (sls) and Weighted SLS Estimation of Single- Index Models," Papers 264, Minnesota - Center for Economic Research.
  5. Pakes, Ariel & Pollard, David, 1989. "Simulation and the Asymptotics of Optimization Estimators," Econometrica, Econometric Society, vol. 57(5), pages 1027-57, September. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Tue Gørgens, 1999. "Semiparametric Estimation of Single-Index Transition Intensities," Discussion Papers 99-25, University of Copenhagen. Department of Economics. [Downloadable!]
    Other versions:
  2. Joel L. Horowitz & Sokbae Lee, 2002. "Semiparametric Estimation of a Panel Data Proportional Hazards Model with Fixed Effects," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 A5-3, International Conferences on Panel Data. [Downloadable!]
    Other versions:
  3. Arnab Bhattacharjee, 2007. "A Simple Test for the Absence of Covariate Dependence in Hazard Regression Models," Discussion Paper Series, Department of Economics 0708, Department of Economics, University of St. Andrews. [Downloadable!]
    Other versions:
  4. José Cristóbal & José Alcalá, 2001. "An overview of nonparametric contributions to the problem of functional estimation from biased data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 10(2), pages 309-332, December. [Downloadable!] (restricted)
  5. Van den Berg, Gerard J., 2000. "Duration Models: Specification, Identification, and Multiple Durations," MPRA Paper 9446, University Library of Munich, Germany. [Downloadable!]
    Other versions:
  6. Govert Bijwaard & Geert Ridder, 1998. "Correcting for Selective Compliance in a Re-employment Bonus Experiment," Tinbergen Institute Discussion Papers 98-096/4, Tinbergen Institute. [Downloadable!]
    Other versions:
  7. Sokbae 'Simon' Lee, 2005. "Identification of a competing risks model with unknown transformations of latent failure times," CeMMAP working papers CWP17/05, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
    Other versions:
  8. Arnab Bhattacharjee, 2009. "Testing for Proportional Hazards with Unrestricted Univariate Unobserved Heterogeneity," Discussion Paper Series, Department of Economics 0904, Department of Economics, University of St. Andrews. [Downloadable!]
  9. Frank Gerhard & Nikolaus Hautsch, 2006. "A Dynamic Semiparametric Proportional Hazard Model," FRU Working Papers 2006/05, University of Copenhagen. Department of Economics. Finance Research Unit. [Downloadable!]
  10. Mingliang Li, 2006. "High school completion and future youth unemployment: new evidence from High School and Beyond," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(1), pages 23-53. [Downloadable!]
  11. Alois Stutzer & Rafael Lalive, . "The Role of Social Work Norms in Job Searching and Subjective Well-Being," IEW - Working Papers iewwp051, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  12. Cory Koedel & Julian Betts, 2009. "Value-Added to What? How a Ceiling in the Testing Instrument Influences Value-Added Estimation," NBER Working Papers 14778, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  13. Jerry Hausman & Tiemen M. Woutersen, 2005. "Estimating a semi-parametric duration model without specifying heterogeneity," CeMMAP working papers CWP11/05, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
    Other versions:
  14. George Neumann, 1996. "Search Models and Duration Data," Econometrics 9602008, EconWPA, revised 07 Mar 1996. [Downloadable!]
  15. Sokbae 'Simon' Lee, 2003. "Estimating panel data duration models with censored data," CeMMAP working papers CWP13/03, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
    Other versions:
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