| 删截分布未知的多维随机删截数据的PP拟合优度检验 |
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| 引用本文： | 刘万荣.删截分布未知的多维随机删截数据的PP拟合优度检验[J].系统科学与数学,1999,19(2):251-256. |
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| 作者姓名： | 刘万荣 |
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| 作者单位： | 湖南师范大学数学系!长沙，410081 |
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| 摘 要： | 文5]在假定删截分布已知的条件下，用投影寻踪（PP）技巧讨论了多维随机删截数据的PP拟合优度检验问题．本文讨论截尾分布未知时，多维随机删截数据的拟合优度检验问题，得到了检验统计量在零假设成立时的渐近分布，并讨论了其Bootstrap逼近．
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| 关 键 词： | 随机删截 投影寻踪（PP） 经验U过程 高斯随机元 Bootstrap 拟合优度 |
PP GOODNESS-OF-FIT TEST FOR RANDOMLY CENSORED MULTIVARIATE DATA WITH THE CENSORING DISTRIBUTION UNKNOWN |
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| Wan Rong LIU.PP GOODNESS-OF-FIT TEST FOR RANDOMLY CENSORED MULTIVARIATE DATA WITH THE CENSORING DISTRIBUTION UNKNOWN[J].Journal of Systems Science and Mathematical Sciences,1999,19(2):251-256. |
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| Authors: | Wan Rong LIU |
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| Institution: | Department of Mathematics, Hunan Normal University, Changsha 410081,P.R.China |
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| Abstract: | In this paper, a PP goodness-of--fit test for randomly censored multivariate data with the unknown censoring distribution is proposed. The asymptotic distribution of the test statistics under null hypothesis is derived, and its bootstrap approximation is discussed. |
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| Keywords: | Randomly censored data projection pursuit U-empirical process Gauss stochastic element Bootstrap goodness-of-fit test |
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