| 多元分布函数的一种B-样条构造法 |
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| 引用本文： | 陈亚婷. 多元分布函数的一种B-样条构造法[J]. 合肥工业大学学报(自然科学版), 2009, 32(3) |
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| 作者姓名： | 陈亚婷 |
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| 作者单位： | 河北农业大学,理学院,河北,保定,071000 |
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| 摘 要： | 文章以二元连续型分布函数为例,在假设母体真实分布函数存在的基础上,利用双三次B-样条函数,给出了构造二维随机变量分布函数的一种新的算法;由实变函数的理论可知,存在这样的双三次B-样条函数,可以在给定条件下一致地收敛到母体真实分布函数,并且此双三次B-样条函数的适当拓展满足分布函数的一切性质.
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| 关 键 词： | 分布函数 双三次B-样条函数 一致逼近 |
A method of getting multivariate distribution functions by B-splines |
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| CHEN Ya-ting. A method of getting multivariate distribution functions by B-splines[J]. Journal of Hefei University of Technology(Natural Science), 2009, 32(3) |
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| Authors: | CHEN Ya-ting |
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| Affiliation: | School of Sciences;Hebei Agricultural University;Baoding 071000;China |
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| Abstract: | This paper takes the continuous bivariate distribution function as an example.On the supposition that the sample's real distribution function exists,the paper offers a new algorithm of the distribution function of bivariate random variables by using bicubic B-spline function.From the theory of functions of real variables,it is known that the bicubic B-spline function is in existence,and under the given condition,it can uniformly converge to the real distribution function of the parent population.The rationa... |
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| Keywords: | distribution function bicubic B-spline uniform approximation |
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