| 筛分律与混和律及其在纤维强度分析中的应用 |
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| 引用本文： | 万传寅.筛分律与混和律及其在纤维强度分析中的应用[J].华南理工大学学报(自然科学版),1996(7). |
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| 作者姓名： | 万传寅 |
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| 作者单位： | 华南理工大学工程力学系 |
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| 摘 要： | 文中论述了随机变量的筛分与混和现象；由Ｋｏｌｍｏｇｏｒｏｖ－Ｓｍｉｒｎｏｖ检验表明，筛分与混和对随机变量分布的影响是强烈的；基于顺序统计量理论和Ｌｅｂｅｓｑｕｅ分解定理，导出了筛分律与混和律的表达式，并通过计算举例证明了这些表达式的正确性
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| 关 键 词： | 纤维 强度 统计分析／筛分律 混和律 顺序统计量 |
THE SCREENING LAW AND THE MIXING LAW AND THEIR APPLICATION IN STATISTICAL ANALYSIS OF STRENGTH OF FIBRES |
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| Wan Chuanyin.THE SCREENING LAW AND THE MIXING LAW AND THEIR APPLICATION IN STATISTICAL ANALYSIS OF STRENGTH OF FIBRES[J].Journal of South China University of Technology(Natural Science Edition),1996(7). |
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| Authors: | Wan Chuanyin |
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| Abstract: | Screening and mixing is a general phenomenon in statistical analysis of strength of fibres and its composites. In this paper, the fundamental concepts and terms of screening and mixing phenomenon have been expounded first. It has been showed that the effects of screening and mixing on distribution is strong by the Kolmogorov Smirnov's test. The expressions of the screening law and the mixing law have heen derived in view of the order statistic theory and the Lebesgue's decompose theorem, and the correctness of these expressions has also been examined by calculating examples. |
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| Keywords: | fiber strength statistical analysis/the screening law the mixing law order statistic |
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