| NA样本递归型分布函数估计的相合性 |
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| 引用本文： | 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. |
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| 作者姓名： | 李永明 杨善朝 |
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| 作者单位： | 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 |
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| 基金项目： | theNaturalScienceFoundationofChina(10 16 10 0 4 ) |
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| 摘 要： | 在NA相依样本条件下，对未知分布函数F(x)的递归核估计进行研究，在适当的条件下，得到了估计的r^-阶平均相合速度，逐点强相合和一致强相合速度，作为应用，讨论了平均剩余寿命函数估计的相合速度。
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| 关 键 词： | 递归核分布估计 NA样本 相合性 平均剩余寿命函数 |
CONSISTENCY OF RECURSIVE ESTIMATOR FOR DISTRIBUTION FUNCTION UNDER NEGATIVELY ASSOCIATED SAMPLES |
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| Abstract.CONSISTENCY OF RECURSIVE ESTIMATOR FOR DISTRIBUTION FUNCTION UNDER NEGATIVELY ASSOCIATED SAMPLES[J].Journal of Mathematics,2004,24(6):601-606. |
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| Authors: | Abstract |
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| 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. |
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| Keywords: | recursive kernel distribution estimator negative association consistency mean residual life function |
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