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Title: On constrained nonparametric maximum likelihood estimation of the survival functions for truncated survival data Authors:  Hsun-Chih Kuo - National Kaohsiung University of Science and Technology (Taiwan) [presenting]
Abstract: It is known that the Nonparametric Maximum Likelihood Estimation (NPMLE) of the survival function with truncation will be underestimated if the truncation is ignored. We intend to study the constrained NPMLEs of survival functions with truncation under distributional ordering such as stochastic ordering. To start with, we will consider survival data with right censoring and left truncation under stochastic ordering. Monte Carlo simulations will be conducted to compare the performance of NPMLEs of survival functions with considering and without considering truncation in terms of either bias or variance.