The Two-Stage Estimation for Association for Clustered Failure Time Data with a Cure Fraction

• Main Authors: Chen, Chih-Wei, 陳志維
• Other Authors: Chen, Chyong-Mei
• Format: Others
• Language: zh-TW
• Published: 2011
• Online Access: http://ndltd.ncl.edu.tw/handle/06583511552070246024

碩士 === 靜宜大學 === 財務與計算數學系 === 99 === Substantial research has been devoted to developing methodology for inferring the association of the multivariate survival data. However, in the study of familial disease, there may exist a proportion of patients cured or nonsusceptible to the disease. Thus, it is necessary to consider two types of association simultaneously. The _rst is the association of the susceptibility of the individuals, and the second is the association of the ages at onset between two susceptible individuals. The objective of this thesis is to provide a semiparametric framework for making inferences on both two types of association. We measure the former association by the pairwise odds ratio of the binary cure statuses and the latter by the bivariate Clayton copula. The cure status and the event times of the susceptible individuals are specified to follow the semiparametric marginal transformation cure model. A two-stage estimation procedure is adopted for statistical inferences. The large sample properties are also study and evaluated by simulation studies.