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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)

Abstract

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.

Keywords

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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