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Semi-nonparametric competing risks analysis of recidivism

Author

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  • Herman J. Bierens

    (Department of Economics, Pennsylvania State University, University Park, Pennsylvania, USA)

  • Jose R. Carvalho

    (CAEN, Universidade Federal do Ceará, Fortaleza, Brazil)

Abstract

In this paper we specify a semi-nonparametric competing risks (SNP-CR) model of recidivism, for misdemeanors and felonies. The model is a bivariate mixed proportional hazard model with Weibull baseline hazards and common unobserved heterogeneity. The distribution of the latter is modeled semi-nonparametrically, using orthonormal Legendre polynomials on the unit interval, and integrated out to make the two durations dependent, conditional on the covariates. The SNP-CR model involved corresponds to a Logit model for felony arrest; hence the validity of the SNP-CR model can be tested by testing the validity of the implied Logit model. The latter will be done by using the integrated conditional moment (ICM) test. In the first instance we have estimated and tested two versions of the SNP-CR model, without and with fixed state effects. However, the ICM test rejects these models. Therefore, we have estimated and tested the model for each state separately. These state models are not rejected by the ICM test. Indeed, the estimation results vary substantially per state. Copyright © 2007 John Wiley & Sons, Ltd.

Suggested Citation

  • Herman J. Bierens & Jose R. Carvalho, 2007. "Semi-nonparametric competing risks analysis of recidivism," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(5), pages 971-993.
    • Handle: RePEc:jae:japmet:v:22:y:2007:i:5:p:971-993
    DOI: 10.1002/jae.960
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    References listed on IDEAS

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    1. Stephen Stollmack & Carl M. Harris, 1974. "Failure-Rate Analysis Applied to Recidivism Data," Operations Research, INFORMS, vol. 22(6), pages 1192-1205, December.
    2. Herman J. Bierens & Werner Ploberger, 1997. "Asymptotic Theory of Integrated Conditional Moment Tests," Econometrica, Econometric Society, vol. 65(5), pages 1129-1152, September.
    3. Boning, Wm. Brent & Sowell, Fallaw, 1999. "Optimality For The Integrated Conditional Moment Test," Econometric Theory, Cambridge University Press, vol. 15(5), pages 710-718, October.
    4. Susumu Imai & Kala Krishna, 2004. "Employment, Deterrence, And Crime In A Dynamic Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(3), pages 845-872, August.
    5. Bierens, Herman J., 1982. "Consistent model specification tests," Journal of Econometrics, Elsevier, vol. 20(1), pages 105-134, October.
    6. Mark Y. An & Bent Jesper Christensen & Nabanita Datta Gupta, 2004. "Multivariate mixed proportional hazard modelling of the joint retirement of married couples," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(6), pages 687-704.
    7. Bierens, Herman J., 2008. "Semi-Nonparametric Interval-Censored Mixed Proportional Hazard Models: Identification And Consistency Results," Econometric Theory, Cambridge University Press, vol. 24(3), pages 749-794, June.
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    Cited by:

    1. Carvalho, José R. & Bierens, Herman J., 2007. "Conditional Treatment and Its Effect on Recidivism," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 27(1), May.
    2. Rolando de la Cruz & Oslando Padilla & Mauricio A. Valle & Gonzalo A. Ruz, 2021. "Modeling Recidivism through Bayesian Regression Models and Deep Neural Networks," Mathematics, MDPI, vol. 9(6), pages 1-14, March.
    3. Bidisha Chakrabarty & Zhaohui Han & Konstantin Tyurin & Xiaoyong Zheng, 2006. "A Competing Risk Analysis of Executions and Cancellations in a Limit Order Market," CAEPR Working Papers 2006-015, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    4. Ozkan, Turgut, 2016. "Reoffending among serious juvenile offenders: A developmental perspective," Journal of Criminal Justice, Elsevier, vol. 46(C), pages 18-31.
    5. Chen, Xiaohong, 2007. "Large Sample Sieve Estimation of Semi-Nonparametric Models," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 76, Elsevier.

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