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A Simple GMM Estimator for the Semiparametric Mixed Proportional Hazard Model

Author

Listed:
  • Govert Bijwaard

    (Netherlands Interdisciplinary Demographic Institute (NIDI))

  • Geert Ridder

    (University of Southern California)

  • Tiemen Woutersen

    (Johns Hopkins University)

Abstract

Ridder and Woutersen (2003) have shown that under a weak condition on the baseline hazard, there exist root-N consistent estimators of the parameters in a semiparametric Mixed Proportional Hazard model with a parametric baseline hazard and unspecified distribution of the unobserved heterogeneity. We extend the Linear Rank Estimator (LRE) of Tsiatis (1990) and Robins and Tsiatis (1991) to this class of models. The optimal LRE is a two-step estimator. We propose a simple one-step estimator that is close to optimal if there is no unobserved heterogeneity. The efficiency gain associated with the optimal LRE increases with the degree of unobserved heterogeneity.

Suggested Citation

  • Govert Bijwaard & Geert Ridder & Tiemen Woutersen, 2012. "A Simple GMM Estimator for the Semiparametric Mixed Proportional Hazard Model," Norface Discussion Paper Series 2012035, Norface Research Programme on Migration, Department of Economics, University College London.
    • Handle: RePEc:nor:wpaper:2012035
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    Cited by:

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    2. James Wolter, 2015. "Kernel Estimation Of Hazard Functions When Observations Have Dependent and Common Covariates," Economics Series Working Papers 761, University of Oxford, Department of Economics.
    3. Janys, Lena, 2017. "A General Semiparametric Approach to Inference with Marker-Dependent Hazard Rate Models," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168077, Verein für Socialpolitik / German Economic Association.
    4. Hausman, Jerry A. & Woutersen, Tiemen, 2014. "Estimating a semi-parametric duration model without specifying heterogeneity," Journal of Econometrics, Elsevier, vol. 178(P1), pages 114-131.
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    6. Govert Bijwaard & Christian Schluter, 2016. "Interdependent Hazards, Local Interactions, and the Return Decision of Recent Migrants," RF Berlin - CReAM Discussion Paper Series 1620, Rockwool Foundation Berlin (RF Berlin) - Centre for Research and Analysis of Migration (CReAM).

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    More about this item

    Keywords

    mixed proportional hazard; linear rank estimation; counting process.;
    All these keywords.

    JEL classification:

    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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