| 强混合相依变量加权和的收敛性及其应用 |
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| 引用本文： | 许冰. 强混合相依变量加权和的收敛性及其应用[J]. 数学学报, 2002, 45(5): 1025-103. DOI: cnki:ISSN:0583-1431.0.2002-05-025 |
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| 作者姓名： | 许冰 |
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| 作者单位： | 杭州商学院数量经济系,浙江,杭州,310035 |
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| 基金项目： | 浙江省自然科学基金资助项目（701013） |
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| 摘 要： | 本文提供一条处理相依样本的新途径.建立了强混合相依变量加权和的收敛性.作为它的应用,考虑回归模型,给出回归函数非参数的强相合估计.
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| 关 键 词： | 混合序列 强收敛性 相合估计 |
| 文章编号： | 0583-1431(2002)05-1025-10 |
| 修稿时间： | 1999-07-05 |
Convergence of the Weighted Sums with Applications for Strongly Mixing Sequence |
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| Bing XU. Convergence of the Weighted Sums with Applications for Strongly Mixing Sequence[J]. Acta Mathematica Sinica, 2002, 45(5): 1025-103. DOI: cnki:ISSN:0583-1431.0.2002-05-025 |
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| Authors: | Bing XU |
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| Affiliation: | Bing XU(Department of Quantitative Economics, Hangzhou Institute of Commerce, Hangzhou 310035, P. R. China) (E-mail: xubing@nbnet.com.cn) |
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| Abstract: | The main purpose of this paper is to present a new way to establish convergence of the weighted sums for strongly mixing sequences. Aa an application to the regression model, we give a strong consistent estimation of the regression function. |
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| Keywords: | Mixing sequence Strong convergence Consistent estimator |
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