IDEAS home Printed from https://ideas.repec.org/p/nwu/cmsems/960.html
   My bibliography  Save this paper

The Correlation of Durations in Multivariate Hazard Rate Models

Author

Listed:
  • Gerard J. van den Berg
  • Ton Steerneman

Abstract

This empirical analysis of multiple durations using multivariate mixed proportional hazard rate models is widespread. In such models, the duration variable are dependent if their unobserved determinants are dependent on each other. In this paper it is shown that these models restrict the magnitude of the correlation of the duration variable. For example, if the baseline hazards are constant, then this correlation necessarily lies between -1/3 and 1/2. Similar results hold for more general models. The usefulness for empirical analysis is twofold. First, the results can be used to assess the ability of the model to describe certain phenomena, relative to the models that impose less restrictions on the values the correlation can attain. Secondly, they suggest that, in parametric analyses, it is important to take a family of heterogeneity distributions that is flexible in the sense that it does not restrict the values the correlation can attain either further. We show that some frequently used parametric families are much more restrictive than others.

Suggested Citation

  • Gerard J. van den Berg & Ton Steerneman, 1991. "The Correlation of Durations in Multivariate Hazard Rate Models," Discussion Papers 960, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:960
    as

    Download full text from publisher

    File URL: http://www.kellogg.northwestern.edu/research/math/papers/960.pdf
    File Function: main text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Heckman, James J & Hotz, V Joseph & Walker, James R, 1985. "New Evidence on the Timing and Spacing of Births," American Economic Review, American Economic Association, vol. 75(2), pages 179-184, May.
    2. Flinn, Christopher J & Heckman, James J, 1983. "Are Unemployment and Out of the Labor Force Behaviorally Distinct Labor Force States?," Journal of Labor Economics, University of Chicago Press, vol. 1(1), pages 28-42, January.
    3. Butler, J S & Anderson, Kathryn H & Burkhauser, Richard V, 1989. "Work and Health after Retirement: A Competing Risks Model with Semiparametric Unobserved Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 46-53, February.
    4. Van den Berg, G J & Lindeboom, M & Ridder, G, 1994. "Attrition in Longitudinal Panel Data and the Empirical Analysis of Dynamic Labour Market Behaviour," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(4), pages 421-435, Oct.-Dec..
    5. Christopher J. Flinn & James J. Heckman, 1982. "Models for the Analysis of Labor Force Dynamics," NBER Working Papers 0857, National Bureau of Economic Research, Inc.
    6. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    7. 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.
    8. Newman, John L & McCulloch, Charles E, 1984. "A Hazard Rate Approach to the Timing of Births," Econometrica, Econometric Society, vol. 52(4), pages 939-961, July.
    9. Butler, J. S. & Anderson, Kathryn H. & Burkhauser, Richard V., 1986. "Testing the relationship between work and health : A bivariate hazard model," Economics Letters, Elsevier, vol. 20(4), pages 383-386.
    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. Van den Berg, G J & Lindeboom, M & Ridder, G, 1994. "Attrition in Longitudinal Panel Data and the Empirical Analysis of Dynamic Labour Market Behaviour," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(4), pages 421-435, Oct.-Dec..
    2. Thomas, Jonathan M, 1996. "An Empirical Model of Sectoral Movements by Unemployed Workers," Journal of Labor Economics, University of Chicago Press, vol. 14(1), pages 126-153, January.

    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. 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.
    2. van den Berg, Gerard J., 1997. "Association measures for durations in bivariate hazard rate models," Journal of Econometrics, Elsevier, vol. 79(2), pages 221-245, August.
    3. Bloemen, H.G. & Kalwij, A.S., 1996. "Female Employment and Timing of Births Decisions : A Multiple State Transition Model," Discussion Paper 1996-26, Tilburg University, Center for Economic Research.
    4. Kenneth Troske & Alexandru Voicu, 2013. "The effect of the timing and spacing of births on the level of labor market involvement of married women," Empirical Economics, Springer, vol. 45(1), pages 483-521, August.
    5. repec:eee:labchp:v:1:y:1986:i:c:p:205-271 is not listed on IDEAS
    6. Pettersson-Lidbom, Per & Skogman Thoursie, Peter, 2009. "Does child spacing affect children’s outcomes? Evidence from a Swedish reform," Working Paper Series 2009:7, IFAU - Institute for Evaluation of Labour Market and Education Policy.
    7. Bloemen, Hans & Kalwij, Adriaan S., 2001. "Female labor market transitions and the timing of births: a simultaneous analysis of the effects of schooling," Labour Economics, Elsevier, vol. 8(5), pages 593-620, December.
    8. Boehm, Thomas P. & Schlottmann, Alan M., 2004. "The dynamics of race, income, and homeownership," Journal of Urban Economics, Elsevier, vol. 55(1), pages 113-130, January.
    9. Jr-Tsung Huang, 2008. "The Personal Tax Exemption and Married Women's Birth Spacing in the United States," Public Finance Review, , vol. 36(6), pages 728-747, November.
    10. Christian Neumeier & Todd Sørensen & Douglas Webber, 2018. "The Implicit Costs of Motherhood over the Lifecycle: Cross‐Cohort Evidence from Administrative Longitudinal Data," Southern Economic Journal, John Wiley & Sons, vol. 84(3), pages 716-733, January.
    11. David Blau & Philip Robins, 1989. "Fertility, Employment, and Child-Care Costs," Demography, Springer;Population Association of America (PAA), vol. 26(2), pages 287-299, May.
    12. Gayle, George-Levi & Golan, Limor & Soytas, Mehmet A., 2022. "What is the source of the intergenerational correlation in earnings?," Journal of Monetary Economics, Elsevier, vol. 129(C), pages 24-45.
    13. James J. Heckman & Christopher R. Taber, 1994. "Econometric Mixture Models and More General Models for Unobservables in Duration Analysis," NBER Technical Working Papers 0157, National Bureau of Economic Research, Inc.
    14. Mariano Bosch & William Maloney, 2006. "Gross Worker Flows in the Presence of Informal Labor Markets. The Mexican Experience 1987-2002," CEP Discussion Papers dp0753, Centre for Economic Performance, LSE.
    15. Harvey S. James Jr., 1996. "The Impact of Female Employment on the Likelihood and Timing of Second and Higher Order Pregnancies," Labor and Demography 9612002, University Library of Munich, Germany.
    16. Henriette Engelhardt, 2004. "Fertility Intentions and Preferences: Effects of Structural and Financial Incentives and Constraints in Austria," VID Working Papers 0402, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
    17. Giesecke, Kay & Schwenkler, Gustavo, 2018. "Filtered likelihood for point processes," Journal of Econometrics, Elsevier, vol. 204(1), pages 33-53.
    18. Masaru Nagashima & Chikako Yamauchi, 2023. "Pregnant in haste? The impact of foetus loss on birth spacing and the role of subjective probabilistic beliefs," Review of Economics of the Household, Springer, vol. 21(4), pages 1409-1431, December.
    19. Jo Anna Gray & Joe Stone, 2014. "Understanding Measures Of Nonmarital Fertility: The Roles Of Marriage And Access To Human Capital," Contemporary Economic Policy, Western Economic Association International, vol. 32(2), pages 288-305, April.
    20. van Ommeren, Jos & Rietveld, Piet & Nijkamp, Peter, 2002. "A bivariate duration model for job mobility of two-earner households," European Journal of Operational Research, Elsevier, vol. 137(3), pages 574-587, March.
    21. Jean-Pierre Florens & Denis Fougère & Thierry Kamionka & Michel Mouchart, 1994. "La modélisation économétrique des transitions individuelles sur le marché du travail," Économie et Prévision, Programme National Persée, vol. 116(5), pages 181-217.

    More about this item

    Keywords

    Multivariate hazard rate models; competing risks; proportional hazards; correlation of nonnegative random variables.;
    All these keywords.

    JEL classification:

    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General

    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:nwu:cmsems:960. 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: Fran Walker (email available below). General contact details of provider: https://edirc.repec.org/data/cmnwuus.html .

    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.