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NA样本递归型分布函数估计的相合性

李永明 杨善朝

数学杂志2004,Vol.24Issue(6):601-606,6.
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

李永明 1杨善朝2

作者信息

  • 1. 上饶师范学院数学系,江西,上饶,334001
  • 2. 广西师范大学数学系,广西,桂林,541004
  • 折叠

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)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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