Multivariate Discrete Models for Longevity in Twins

  • Daniel Zelterman
  • Chang Yu
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 114)


We describe multivariate discrete distributions to measure the association of longevity in a cohort of female identical twins born in Denmark 1870–1880. If individuals are matched at random then a stochastically large number of pairs observed both alive at great ages is evidence of a genetic and/or environmental effect for longevity. We extend earlier work (Yu, Waller, Zelterman, Biometrics, 1998) to a multivariate setting and find the simultaneous and conditional distributions of the number of pairs both alive at two or more different ages. We also propose a semiparametric model of the simultaneous distribution of all pairs at all ages.


Odds ratio multivariate discrete distribution 


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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Daniel Zelterman
    • 1
  • Chang Yu
    • 1
  1. 1.Division of BiostatisticsYale UniversityNew HavenUSA

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