NA样本下分布函数估计的联合渐近分布  

Joint asymptotic distributions of estimators of a distribution function under negatively associated samples

作　　者：缪芳[1] 朱海江[1] 秦永松[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2014年第3期273-279,共7页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11271088;11361011)

摘　　要：研究了NA样本下分布函数的核估计在有限个不同点上的联合渐近分布,证明了该分布为多维正态分布,从而将分布函数的核估计从单点推广到多点,扩大了分布函数核估计的应用范围.The joint asymptotic distributions of estimators of a distribution function at a finite number of differ-ent points under negatively associated samples was studied .It was showed that the joint asymptotic distribu-tions were multi-normal distributions .These results extended the method of kernel estimation from a single point to multiple points and generalized the application range of the kernel estimation of distribution functions .

关 键 词：NA样本 核估计 分布函数 中心极限定理 联合渐近分布 

分 类 号：O212.1[理学—概率论与数理统计]