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Biometrika Advance Access published online on May 10, 2007
Biometrika, doi:10.1093/biomet/asm027
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Copyright © 2007 Biometrika Trust

Article

Nonparametric estimation of age-at-onset distributions from censored kin-cohort data

Yuanjia Wang

Department of Biostatistics, Mailman School of Public Health, Columbia University, 722 W. 168th St., New York, New York 10032, U.S.A.

Lorraine N. Clark

Department of Pathology, College of Physicians and Surgeons, Columbia University, 630 W. 168th St., New York, New York 10031, U.S.A.

Karen Marder

Department of Neurology and Psychiatry, College of Physicians and Surgeons, Columbia University, 630 W. 168th St., New York, New York 10031, U.S.A.

Daniel Rabinowitz

Department of Statistics, Columbia University, 1255 Amsterdam Ave., New York, New York 10027, U.S.A.

wang{at}stat.columbia.edu

lc654{at}columbia.edu

kmarder{at}sergievsky.cpmc.columbia.edu

dan{at}stat.columbia.edu

Received for publication 1 August 2005. Revision received 1 August 2006.
  Abstract

We present a nonparametric estimator of genotype-specific age-at-onset distributions from kin-cohort data. Standard error calculations are derived and the methodology is illustrated through an analysis of the influence of mutations of the Parkin gene on Parkinson's disease. Semiparametric efficiency considerations are briefly discussed.

Key Words: Family data • Genotype • Parkinson's disease • Parkin mutation • Proband • Relative • Survival analysis


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