| 一类U统计量函数的Edgeworth展开 |
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| 引用本文： | 沈鸿.一类U统计量函数的Edgeworth展开[J].中国计量学院学报,2005,16(2):148-155. |
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| 作者姓名： | 沈鸿 |
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| 作者单位： | 中国计量学院,理学院,浙江,杭州,310018 |
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| 摘 要： | 利用函数的泰勒展开,考虑了一类U统计量函数的Edgeworth展开问题.分别在函数的三、四阶导数有界等条件的假设下,给出了一类U统计量函数的Edgeworth展开式.
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| 关 键 词： | U统计量 Edgeworth展开式 非格子分布 |
| 文章编号： | 1004-1540(2005)02-0148-08 |
Edgeworth expansions of a class of U-statistic functions |
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| SHEN Hong.Edgeworth expansions of a class of U-statistic functions[J].Journal of China Jiliang University,2005,16(2):148-155. |
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| Authors: | SHEN Hong |
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| Abstract: | In this paper, we consider the problem of Edgeworth expansions for a class of U-statistic functions by using their Taylor expansions. Under the conditions that the third or fourth derivatives of the functions are bounded, the Edgeworth expansions are presented. |
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| Keywords: | U-statistics Edgeworth expansions nonlattice distribution |
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