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【應數系演講-102-12-13】Estimating Disease Onset Distribution Functions in Mutation Carriers with Censored Mixture Data
國立東華大學應用數學系專 題 演 講主講人：Prof. Yanyuan Ma
Texas A&M University, Department of Statistics
講 題：Estimating Disease Onset Distribution Functions in Mutation Carriers with Censored Mixture Data
時 間：102 年 12 月 13 日 (星期五) 15: 20-16:50
地 點：理工一館 A324 會議室
摘 要
We consider nonparametric estimation of disease onset distribution functions in multiple populations using censored data with unknown population identifiers. The problem is motivated from studies aiming at estimating the age-specific disease risk distribution in deleterious mutation carriers for the purpose of genetic counseling and design of therapeutic intervention trials to modify disease progression (i.e., to slow down the symptom development and delay disease onset). In some of these studies, the distribution of disease risk in participants assumes a mixture form. Although the population identifiers are missing, study design and scientific knowledge allow calculation of the probability of a subject belonging to each population.
We propose a general family of weighted least squares estimators and show that existing consistent nonparametric methods belong to this family.
We identify a computationally effortless estimator in the family, study its asymptotic properties, and show its significant efficiency gain compared to the existing estimators in the literature. The application to a large genetic epidemiological study of Huntington's disease reveals information on the age-at-onset distribution of Huntington's disease (HD) which sheds light on some clinical hypotheses.
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