title: An estimator of the survival function based on the semi-Markov model under dependent censorship.
abstract: Lee and Wolfe (Biometrics vol. 54 pp. 1176-1178, 1998) proposed the two-stage sampling design for testing the assumption of independent censoring, which involves further follow-up of a subset of lost-to-follow-up censored subjects. They also proposed an adjusted estimator for the survivor function for a proportional hazards model under the dependent censoring model. In this paper, a new estimator for the survivor function is proposed for the semi-Markov model under the dependent censorship on the basis of the two-stage sampling data. The consistency and the asymptotic distribution of the proposed estimator are derived. The estimation procedure is illustrated with an example of lung cancer clinical trial and simulation results are reported of the mean squared errors of estimators under a proportional hazards and two different nonproportional hazards models.
authors.affiliation: Department of Applied Mathematics, Sejong University, 98 Kunja-dong, Kwangjin-gu, Seoul, 143-747, Korea. leesy@sejong.ac.kr
authors.forename: Seung-Yeoun
authors.initials: SY
authors.lastname: Lee
authors.forename: Wei-Yann
authors.initials: WY
authors.lastname: Tsai
mesh_terms: D018572:Disease-Free Survival; D006801:Humans; D008175:Lung Neoplasms / Q000188:drug therapy / Q000401:mortality; D008390:Markov Chains; D015233:Models, Statistical; D016019:Survival Analysis; D015996:Survival Rate