基于负相协样本的经验过程的弱收敛
Weak Convergence for Empirical Processes of Negatively Associated Sequences
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摘要: 我们借助于一个Rosenthal 型不等式建立了基于负相协样本经验过程的弱收敛性,同时在证明过程中我们给出了负相协随机变量的几个有用的矩不等式。Abstract: With the help of a, Rosenthal-type inequality,we develop the weak convergence for empirical process based on negatively associated (NA, for short.)random variables.In the proof, we give four useful auxiliary theorems for NA empirical processes or moment moment inequality.