IDEAS home Printed from https://ideas.repec.org/a/spr/stpapr/v50y2009i3p481-499.html
   My bibliography  Save this article

Inference in mixed proportional hazard models with K random effects

Author

Listed:
  • Guillaume Horny

Abstract

A general formulation of Mixed Proportional Hazard models with K random effects is provided. It enables to account for a population stratified at K different levels. We then show how to approximate the partial maximum likelihood estimator using an EM algorithm. In a Monte Carlo study, the behavior of the estimator is assessed and I provide an application to the ratification of ILO conventions. Compared to other procedures, the results indicate an important decrease in computing time, as well as improved convergence and stability.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Guillaume Horny, 2009. "Inference in mixed proportional hazard models with K random effects," Statistical Papers, Springer, vol. 50(3), pages 481-499, June.
    • Handle: RePEc:spr:stpapr:v:50:y:2009:i:3:p:481-499
    DOI: 10.1007/s00362-007-0087-y
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00362-007-0087-y
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00362-007-0087-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. repec:adr:anecst:y:1990:i:17:p:07 is not listed on IDEAS
    2. Pakes, Ariel, 1983. "On Group Effects and Errors in Variables in Aggregation," The Review of Economics and Statistics, MIT Press, vol. 65(1), pages 168-173, February.
    3. Samuel Manda & Renate Meyer, 2005. "Age at first marriage in Malawi: a Bayesian multilevel analysis using a discrete time‐to‐event model," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 168(2), pages 439-455, March.
    4. 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.
    5. Guillaume Horny & Dragana Djurdjevic & Bernhard Boockmann & François Laisney, 2008. "Bayesian Estimation of Cox Models with Non-nested Random Effects: an Application to the Ratification Of ILO Conventions by Developing Countries," Annals of Economics and Statistics, GENES, issue 89, pages 193-214.
    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. Christian Gouriéroux & Irina Peaucelle, 1990. "Hétérogénéité - 1. Etude des biais d'estimation dans le cas linéaire," Annals of Economics and Statistics, GENES, issue 17, pages 163-183.
    8. Hien T.V. Vu & Matthew W. Knuiman, 2002. "Estimation in Semiparametric Marginal Shared Gamma Frailty Models," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 44(4), pages 489-501, December.
    9. McLachlan, Geoffrey J. & Krishnan, Thriyambakam & Ng, See Ket, 2004. "The EM Algorithm," Papers 2004,24, Humboldt University of Berlin, Center for Applied Statistics and Economics (CASE).
    10. Vu, Hien T. V., 2004. "Estimation in semiparametric conditional shared frailty models with events before study entry," Computational Statistics & Data Analysis, Elsevier, vol. 45(3), pages 621-637, April.
    11. Moulton, Brent R., 1986. "Random group effects and the precision of regression estimates," Journal of Econometrics, Elsevier, vol. 32(3), pages 385-397, August.
    12. Kelvin K. W. Yau, 2001. "Multilevel Models for Survival Analysis with Random Effects," Biometrics, The International Biometric Society, vol. 57(1), pages 96-102, March.
    13. Bernhard Boockmann, 2001. "The ratification of ILO conventions: A hazard rate analysis," Economics and Politics, Wiley Blackwell, vol. 13(3), pages 281-309, November.
    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. Guillaume Horny & Dragana Djurdjevic & Bernhard Boockmann & François Laisney, 2008. "Bayesian Estimation of Cox Models with Non-nested Random Effects: an Application to the Ratification Of ILO Conventions by Developing Countries," Annals of Economics and Statistics, GENES, issue 89, pages 193-214.
    2. Yang Lu, 2020. "The distribution of unobserved heterogeneity in competing risks models," Statistical Papers, Springer, vol. 61(2), pages 681-696, April.
    3. J. Jarrahiferiz & M. Kayid & S. Izadkhah, 2019. "Stochastic properties of a weighted frailty model," Statistical Papers, Springer, vol. 60(1), pages 53-72, February.

    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. Guillaume Horny & Dragana Djurdjevic & Bernhard Boockmann & François Laisney, 2008. "Bayesian Estimation of Cox Models with Non-nested Random Effects: an Application to the Ratification Of ILO Conventions by Developing Countries," Annals of Economics and Statistics, GENES, issue 89, pages 193-214.
    2. Guillaume Horny & Rute Mendes & Gerard J. Van den Berg, 2006. "Job mobility in Portugal: a Bayesian study with matched worker-firm data," Working Papers of BETA 2006-32, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    3. Guillaume Horny & Rute Mendes & Gerard J. van den Berg, 2012. "Job Durations With Worker- and Firm-Specific Effects: MCMC Estimation With Longitudinal Employer--Employee Data," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(3), pages 468-480, March.
    4. Jaap H. Abbring, 0000. "Mixed Hitting-Time Models," Tinbergen Institute Discussion Papers 07-057/3, Tinbergen Institute, revised 11 Aug 2009.
    5. Damien Échevin & Bernard Fortin, 2011. "Physician Payment Mechanisms, Hospital Length of Stay and Risk of Readmission: a Natural Experiment," CIRANO Working Papers 2011s-44, CIRANO.
    6. Ronald Bachmann & Merve Cim & Colin Green, 2019. "Long‐Run Patterns of Labour Market Polarization: Evidence from German Micro Data," British Journal of Industrial Relations, London School of Economics, vol. 57(2), pages 350-376, June.
    7. Bijwaard, Govert, 2011. "Unobserved Heterogeneity in Multiple-Spell Multiple-States Duration Models," IZA Discussion Papers 5748, Institute of Labor Economics (IZA).
    8. Haywood, Luke, 2016. "Wealth effects on job preferences," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 38, pages 1-11.
    9. Ohinata, A., 2011. "Did the US Infertility Health Insurance Mandates Affect the Timing of First Birth?," Discussion Paper 2011-102, Tilburg University, Center for Economic Research.
    10. 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.
    11. Hirsch, Boris & Schank, Thorsten & Schnabel, Claus, 2009. "Works Councils and Separations: Voice, Monopoly, and Insurance Effects," IZA Discussion Papers 4126, Institute of Labor Economics (IZA).
    12. Luke Haywood, 2011. "Watch your Workers Win. Changing Job Demands and HRM Responses," management revue - Socio-Economic Studies, Nomos Verlagsgesellschaft mbH & Co. KG, vol. 22(1), pages 47-64.
    13. Boris Hirsch & Thorsten Schank & Claus Schnabel, 2010. "Differences in Labor Supply to Monopsonistic Firms and the Gender Pay Gap: An Empirical Analysis Using Linked Employer-Employee Data from Germany," Journal of Labor Economics, University of Chicago Press, vol. 28(2), pages 291-330, April.
    14. Échevin, Damien & Fortin, Bernard, 2014. "Physician payment mechanisms, hospital length of stay and risk of readmission: Evidence from a natural experiment," Journal of Health Economics, Elsevier, vol. 36(C), pages 112-124.
    15. Antoni, Manfred & Jahn, Elke J., 2006. "Do Changes in Regulation Affect Employment Duration in Temporary Work Agencies?," IZA Discussion Papers 2343, Institute of Labor Economics (IZA).
    16. Buddelmeyer, Hielke & Jensen, Paul H. & Webster, Elizabeth, 2006. "Innovation and the Determinants of Firm Survival," IZA Discussion Papers 2386, Institute of Labor Economics (IZA).
    17. Joshua D. Angrist & Victor Lavy, 1997. "Using Maimonides' Rule to Estimate the Effect of Class Size on Student Achievement," NBER Working Papers 5888, National Bureau of Economic Research, Inc.
    18. Nicoletti, Cheti & Rondinelli, Concetta, 2010. "The (mis)specification of discrete duration models with unobserved heterogeneity: A Monte Carlo study," Journal of Econometrics, Elsevier, vol. 159(1), pages 1-13, November.
    19. Goncharova, Natalia V. & Oskam, Arie J., 2006. "Investment Spikes in Dutch Horticulture: An Analysis at Firm and Aggregate Firm Level Over the Period 1975-1999," 2006 Annual Meeting, August 12-18, 2006, Queensland, Australia 25621, International Association of Agricultural Economists.
    20. Bart Cockx & Muriel Dejemeppe, 2005. "Duration dependence in the exit rate out of unemployment in Belgium. Is it true or spurious?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(1), pages 1-23, January.

    More about this item

    Keywords

    EM algorithm; Penalized likelihood; Partial likelihood; Frailties; Duration analysis;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies

    Statistics

    Access and download statistics

    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:spr:stpapr:v:50:y:2009:i:3:p:481-499. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.