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Elaboration of the Coale-McNeil Nuptiality Model as The Generalized Log Gamma Distribution

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  • Ryuichi Kaneko

    (National Institute of Population and Social Security Research)

Abstract

The Coale-McNeil nuptiality model is a particular case of the generalized log gamma distribution model. In this paper, we demonstrate that recognition of this connection allows an expansion of the possible applications of the Coale-McNeil model. As examples, we propose a procedure to develop country specific standard schedules, and illustrate the utility in regression analysis (directly and via the competing risk framework). In addition, we employ this identification to enhance the ability of the models with empirical adjustment to trace the trajectory of the lifetime schedule for cohorts which have not completed the process. We illustrate an application to Japanese female cohorts. We also propose an application to fertility projection by modeling the fertility schedule by birth order.

Suggested Citation

  • Ryuichi Kaneko, 2003. "Elaboration of the Coale-McNeil Nuptiality Model as The Generalized Log Gamma Distribution," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 9(10), pages 223-262.
  • Handle: RePEc:dem:demres:v:9:y:2003:i:10
    DOI: 10.4054/DemRes.2003.9.10
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    References listed on IDEAS

    as
    1. James Raymo, 2003. "Educational attainment and the transition to first marriage among Japanese women," Demography, Springer;Population Association of America (PAA), vol. 40(1), pages 83-103, February.
    2. Bloom, D.E. & Bennett, N.G., 1989. "Modeling American Marriage Patterns," Papers 584, Yale - Economic Growth Center.
    3. Hans-Peter Kohler & José Antonio Ortega, 2002. "Tempo-Adjusted Period Parity Progression Measures, Fertility Postponement and Completed Cohort Fertility," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 6(6), pages 91-144.
    4. Hans-Peter Kohler & Dimiter Philipov, 2001. "Variance effects in the bongaarts-feeney formula," Demography, Springer;Population Association of America (PAA), vol. 38(1), pages 1-16, February.
    5. Hans-Peter Kohler & José Antonio Ortega, 2002. "Tempo-Adjusted Period Parity Progression Measures:," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 6(7), pages 145-190.
    6. N. Ryder, 1964. "The process of demographic translation," Demography, Springer;Population Association of America (PAA), vol. 1(1), pages 74-82, March.
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    Cited by:

    1. Pavel Jelnov, 2018. "A New Estimator of Search Duration and Its Application to the Marriage Market," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 80(6), pages 1089-1116, December.
    2. Milan Bouchet-Valat, 2014. "La fin de l'hypergamie féminine? L’inversion du sens de l'écart entre diplômes des conjoints au fil des cohortes en France," Working Papers 2014-50, Center for Research in Economics and Statistics.
    3. Deirdre Bloome & Shannon Ang, 2020. "Marriage and Union Formation in the United States: Recent Trends Across Racial Groups and Economic Backgrounds," Demography, Springer;Population Association of America (PAA), vol. 57(5), pages 1753-1786, October.
    4. Francesco Billari & Alexia Prskawetz & Belinda Aparicio Diaz & Thomas Fent, 2007. "The "Wedding-Ring"," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 17(3), pages 59-82.

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    More about this item

    Keywords

    marriage; nuptiality; fertility projection; Coale-McNeil model; first marriage schedule; generalized gamma distribution;
    All these keywords.

    JEL classification:

    • J1 - Labor and Demographic Economics - - Demographic Economics
    • Z0 - Other Special Topics - - General

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