基于负相协样本经验过程的加权弱收敛
Weighted Weak Convergence for Empirical Processes of Negatively Associated Sequences
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摘要: 在文中,我们建立了基于负相协样本经验过程的加权弱收敛,同时利用这个结果,我们还证明了其积分的弱收敛性,并将这些结果应用于生存分析,获得了一些相应的弱极限性质。Abstract: In this paper, we develop the weighted weak convergence for empirical process based on negatively associated (NA, for short) random variables. As a direct application of weighted weak convergence, we prove the weak convergence for the integral funtionals of the empirical processes which lead us to a useful result of residual life processes.