IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v76y2006i7p719-728.html
   My bibliography  Save this article

Bayesian semi-parametric modeling for mixed proportional hazard models with right censoring

Author

Listed:
  • Lau, John W.

Abstract

This paper presents a Bayesian semi-parametric approach to mixed proportional hazard models. The unobserved heterogeneity and the baseline hazard rate are assumed to be an integrated Dirichlet process and an integrated weighted gamma process, respectively. Bayesian estimators and a numerical algorithm are presented.

Suggested Citation

  • Lau, John W., 2006. "Bayesian semi-parametric modeling for mixed proportional hazard models with right censoring," Statistics & Probability Letters, Elsevier, vol. 76(7), pages 719-728, April.
  • Handle: RePEc:eee:stapro:v:76:y:2006:i:7:p:719-728
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(05)00381-0
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lippman, Steven A & McCall, John J, 1976. "The Economics of Job Search: A Survey: Part I," Economic Inquiry, Western Economic Association International, vol. 14(2), pages 155-189, June.
    2. Ishwaran, Hemant & James, Lancelot F., 2004. "Computational Methods for Multiplicative Intensity Models Using Weighted Gamma Processes: Proportional Hazards, Marked Point Processes, and Panel Count Data," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 175-190, January.
    3. Stephen G. Walker & Bani K. Mallick, 1997. "Hierarchical Generalized Linear Models and Frailty Models with Bayesian Nonparametric Mixing," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 59(4), pages 845-860.
    4. Heckman, James J & Walker, James R, 1990. "The Relationship between Wages and Income and the Timing and Spacing of Births: Evidence from Swedish Longitudinal Data," Econometrica, Econometric Society, vol. 58(6), pages 1411-1441, November.
    5. Joel L. Horowitz, 1999. "Semiparametric Estimation of a Proportional Hazard Model with Unobserved Heterogeneity," Econometrica, Econometric Society, vol. 67(5), pages 1001-1028, September.
    6. Van den Berg, Gerard J., 2001. "Duration models: specification, identification and multiple durations," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 55, pages 3381-3460, Elsevier.
    7. repec:ebl:ecbull:v:3:y:2003:i:24:p:1-10 is not listed on IDEAS
    8. 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.
    9. Meyer, Bruce D, 1990. "Unemployment Insurance and Unemployment Spells," Econometrica, Econometric Society, vol. 58(4), pages 757-782, July.
    10. Devine, Theresa J. & Kiefer, Nicolas M., 1991. "Empirical Labor Economics: The Search Approach," OUP Catalogue, Oxford University Press, number 9780195059366, Decembrie.
    11. Karl Mosler, 2003. "Mixture models in econometric duration analysis," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 19(2), pages 91-104, April.
    12. Michele Campolieti, 2001. "Bayesian semiparametric estimation of discrete duration models: an application of the dirichlet process prior," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(1), pages 1-22.
    13. Heckman, James J. & Singer, Burton, 1984. "Econometric duration analysis," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 63-132.
    14. Lippman, Steven A & McCall, John J, 1976. "The Economics of Job Search: A Survey," Economic Inquiry, Western Economic Association International, vol. 14(3), pages 347-368, September.
    15. Lillard, Lee A., 1993. "Simultaneous equations for hazards : Marriage duration and fertility timing," Journal of Econometrics, Elsevier, vol. 56(1-2), pages 189-217, March.
    16. Lancaster, Tony, 1979. "Econometric Methods for the Duration of Unemployment," Econometrica, Econometric Society, vol. 47(4), pages 939-956, July.
    17. Albert Lo & Chung-Sing Weng, 1989. "On a class of Bayesian nonparametric estimates: II. Hazard rate estimates," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 41(2), pages 227-245, June.
    18. Michele Campolieti, 2003. "On the estimation of hazard models with flexible baseline hazards and nonparametric unobserved heterogeneity," Economics Bulletin, AccessEcon, vol. 3(24), pages 1-10.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lau, John W. & Cripps, Edward & Hui, Wendy, 2020. "Variational inference for multiplicative intensity models," Statistics & Probability Letters, Elsevier, vol. 161(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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, January.
    2. Jaap H. Abbring & Gerard J. Van Den Berg, 2007. "The unobserved heterogeneity distribution in duration analysis," Biometrika, Biometrika Trust, vol. 94(1), pages 87-99.
    3. 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.
    4. Van den Berg, Gerard J., 2001. "Duration models: specification, identification and multiple durations," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 55, pages 3381-3460, Elsevier.
    5. Brigitte Dormont & Denis Fougère & Ana Prieto, 2001. "L'effet de l'allocation unique dégressive sur la reprise d'emploi," Économie et Statistique, Programme National Persée, vol. 343(1), pages 3-28.
    6. Hess, Wolfgang & Persson, Maria, 2010. "The Duration of Trade Revisited. Continuous-Time vs. Discrete-Time Hazards," Working Papers 2010:1, Lund University, Department of Economics.
    7. Hess, Wolfgang & Persson, Maria, 2009. "Survival and Death in International Trade - Discrete-Time Durations of EU Imports," Working Papers 2009:12, Lund University, Department of Economics.
    8. George Neumann, 1996. "Search Models and Duration Data," Econometrics 9602008, University Library of Munich, Germany, revised 07 Mar 1996.
    9. J. Ignacio García‐Pérez, 2006. "Job separation in a non‐stationary search model: a structural estimation to evaluate alternative unemployment insurance systems," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(2), pages 245-272, March.
    10. Roed, Knut & Zhang, Tao, 2005. "Unemployment duration and economic incentives--a quasi random-assignment approach," European Economic Review, Elsevier, vol. 49(7), pages 1799-1825, October.
    11. Eberwein, Curtis & Ham, John C. & LaLonde, Robert J., 2002. "Alternative methods of estimating program effects in event history models," Labour Economics, Elsevier, vol. 9(2), pages 249-278, April.
    12. 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.
    13. Jouko Verho, 2005. "Unemployment Duration and Business Cycles in Finland," Working Papers 214, Työn ja talouden tutkimus LABORE, The Labour Institute for Economic Research LABORE.
    14. Ando, Amy, 1998. "Delay on the Path to the Endangered Species List: Do Costs and Benefits Matter," RFF Working Paper Series dp-97-43-rev, Resources for the Future.
    15. Konstantinos Tatsiramos, 2009. "Unemployment Insurance in Europe: Unemployment Duration and Subsequent Employment Stability," Journal of the European Economic Association, MIT Press, vol. 7(6), pages 1225-1260, December.
    16. José Ignacio García Pérez, 2003. "Non-stationary Job Search When Jobs Do Not Last Forever: A Structural Estimation to Evaluate Alternative Unemployment Insurance Systems," Economic Working Papers at Centro de Estudios Andaluces E2003/49, Centro de Estudios Andaluces.
    17. Jurajda, Stepan, 2002. "Estimating the effect of unemployment insurance compensation on the labor market histories of displaced workers," Journal of Econometrics, Elsevier, vol. 108(2), pages 227-252, June.
    18. Bijwaard, Govert, 2011. "Unobserved Heterogeneity in Multiple-Spell Multiple-States Duration Models," IZA Discussion Papers 5748, Institute of Labor Economics (IZA).
    19. Røed, Knut & Jensen, Peter & Thoursie, Anna, 2002. "Unemployment Duration, Incentives and Institutions - A Micro-Econometric Analysis Based on Scandinavian Data," Working Paper Series 3/2002, Stockholm University, Swedish Institute for Social Research.
    20. Bijwaard Govert E. & Ridder Geert & Woutersen Tiemen, 2013. "A Simple GMM Estimator for the Semiparametric Mixed Proportional Hazard Model," Journal of Econometric Methods, De Gruyter, vol. 2(1), pages 1-23, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:76:y:2006:i:7:p:719-728. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.