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A bivariate interval censorship model for partnership formation

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  • Yuet-Yee Wong, Linda
  • Yu, Qiqing

Abstract

We consider a statistical problem of estimating a bivariate age distribution of newly formed partnership. The study is motivated by a type of data that consist of uncensored, right-censored, left-censored, interval-censored and missing observations in the coordinates of a bivariate random vector. A model is proposed for formulating such type of data. A feasible algorithm to estimate the generalized MLE (GMLE) of the bivariate distribution function is also proposed. We establish asymptotic properties for the GMLE under a discrete assumption on the underlying distributions and apply the method to the data set.

Suggested Citation

  • Yuet-Yee Wong, Linda & Yu, Qiqing, 2007. "A bivariate interval censorship model for partnership formation," Journal of Multivariate Analysis, Elsevier, vol. 98(2), pages 370-383, February.
    • Handle: RePEc:eee:jmvana:v:98:y:2007:i:2:p:370-383
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    References listed on IDEAS

    as
    1. Linda Y. Wong, 2003. "Structural Estimation of Marriage Models," Journal of Labor Economics, University of Chicago Press, vol. 21(3), pages 699-728, July.
    2. Claudia Goldin & Lawrence F. Katz, 2002. "The Power of the Pill: Oral Contraceptives and Women's Career and Marriage Decisions," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 730-770, August.
    3. David E. Bloom & Neil G. Bennett, 1985. "Marriage Patterns in the United States," NBER Working Papers 1701, National Bureau of Economic Research, Inc.
    4. David S. Loughran, 2002. "The Effect Of Male Wage Inequality On Female Age At First Marriage," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 237-250, May.
    5. Arnstein Aassve & Simon Burgess & Andrew Chesher & Carol Propper, 2002. "Transitions from home to marriage of young Americans," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(1), pages 1-23.
    6. Ann Berrington & Ian Diamond, 2000. "Marriage or cohabitation: a competing risks analysis of first‐partnership formation among the 1958 British birth cohort," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 163(2), pages 127-151.
    7. Keeley, Michael C, 1979. "An Analysis of the Age Pattern of First Marriage," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(2), pages 527-544, June.
    8. Anton Schick & Qiqing Yu, 2000. "Consistency of the GMLE with Mixed Case Interval‐Censored Data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(1), pages 45-55, March.
    9. Eric D. Gould, 2008. "Marriage and Career: The Dynamic Decisions of Young Men," Journal of Human Capital, University of Chicago Press, vol. 2(4), pages 337-378.
    10. Wong, George Y. C. & Yu, Qiqing, 1999. "Generalized MLE of a Joint Distribution Function with Multivariate Interval-Censored Data," Journal of Multivariate Analysis, Elsevier, vol. 69(2), pages 155-166, May.
    11. Qiqing Yu & George Wong & Linxiong Li, 2001. "Asymptotic Properties of Self-Consistent Estimators with Mixed Interval-Censored Data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(3), pages 469-486, September.
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