数学杂志2004,Vol.24Issue(6):601-606,6.
NA样本递归型分布函数估计的相合性
CONSISTENCY OF RECURSIVE ESTIMATOR FOR DISTRIBUTION FUNCTION UNDER NEGATIVELY ASSOCIATED SAMPLES
摘要
Abstract
In this paper, we study a recursive kernel distribution estimator of unknown distribution function F(x) for negatively associated samples. The rates of consistency for r-order mean, pointwise strong consistency and uniform consistency of the estimator are established under suitable regularity conditions. As an application, the rates of consistency for the estimator of mean residual life function are showed.关键词
递归核分布估计/NA样本/相合性/平均剩余寿命函数Key words
recursive kernel distribution estimator/negative association/consistency/mean residual life function分类
数理科学引用本文复制引用
李永明,杨善朝..NA样本递归型分布函数估计的相合性[J].数学杂志,2004,24(6):601-606,6.基金项目
Supported by the Natural Science Foundation of China(10161004) (10161004)