| NA样本概率密度函数核估计的相合性 |
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| 引用本文： | 韦来生.NA样本概率密度函数核估计的相合性[J].系统科学与数学,2001,21(1):079-087. |
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| 作者姓名： | 韦来生 |
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| 作者单位： | 中国科技大学统计与金融系, |
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| 基金项目： | 国家自然科学基金(19671078,
19971085)和中国科学院特别支持费资助项目. |
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| 摘 要： | 设{X
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| 关 键 词： | NA样本 密度函数核估计 相合性 失效率估计. |
| 修稿时间： | 1999年2月8日 |
THE CONSISTENCIES FOR THE KERNEL-TYPE DENSITY ESTIMATON IN THE CASE OF NA SAMPLES |
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| Wei Laisheng.THE CONSISTENCIES FOR THE KERNEL-TYPE DENSITY ESTIMATON IN THE CASE OF NA SAMPLES[J].Journal of Systems Science and Mathematical Sciences,2001,21(1):079-087. |
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| Authors: | Wei Laisheng |
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| Institution: | University of Science and Technology of China, Hefei 230026,P.R.China |
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| Abstract: | Let be a sequence of identically distributed and negatively associated (NA) variables with probability density function f(x). Based on NA samples, the kernel estimator for f(x) is constructed, and the consistency in r-order mean, the pointwise strong consistency and strong uniform consistency are shown under suitable conditions. Finally) as the application in reliability problems, the empirical survival function and the kernel-type failure rate estimator are proposed, and the relative consistencies are disscussed. |
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| Keywords: | NA samples kernel density function estimation consistency failure rate estimator |
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