| 外PPF（F）-集合及其概率特征 |
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| 引用本文： | 于秀清,董立华,侯玉梅,范新亚.外PPF（F）-集合及其概率特征[J].山东大学学报(自然科学版),2010(9):49-52,56. |
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| 作者姓名： | 于秀清 董立华 侯玉梅 范新亚 |
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| 作者单位： | [1]德州学院,山东德州253000 [2]山东大学数学学院,山东济南250100 |
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| 基金项目： | 山东省自然科学基金资助项目（Y2007H02） |
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| 摘 要： | 在P-集合（XF，XF）与元素迁移的随机性基础上，给出了集合X依元素迁移概率PF（f）的外PPF（f）-集合XPF（f）的概念，论证了XPF（f）与XF的关系——XPF（f）是外P-集合XF的扩展，外P-集合XF是XPF（f）的特例，研究了外PPF（f）-集合XPF（f）的随机特性，得到XPF（f）与元素迁移概率关系定理、XPF（f）与元素迁移族关系定理以及集合X的外PPF（f）。集合族与外P-集合族不可辨识定理。
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| 关 键 词： | P-集合 外PPF（f）-集合XPF（f） 元素迁移概率 |
Outer PPF（f）-sets and their probability characteristics |
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| YU Xiu-qing,DONG Li-hua,HOU Yu-mei,FAN Xin-ya.Outer PPF（f）-sets and their probability characteristics[J].Journal of Shandong University(Natural Science Edition),2010(9):49-52,56. |
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| Authors: | YU Xiu-qing DONG Li-hua HOU Yu-mei FAN Xin-ya |
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| Institution: | 1. Dezhou College, Dezhou 253000, Shandong, China; 2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China) |
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| Abstract: | Based on the concept of P-sets （XF ,XF） and randomicity of element transfer, the concept of outer PPF（f） -sets XPF（f） is given by the probability of element transfer. It is proved that XPF（f） is an expansion of XF, while XF is a special case of XPF（f） , which is the relations between outer P-sets XF and outer PPF（f） -sets XPF（f）. Probability characteristics of XPF（f） are discussed. And theorems of the relations between XPF（f） and probability of element transfer, between XPF（f） and element transfer family are obtained, and unidentification theorem between outer PPF（f） -set family and outer P-sets family is presented. |
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| Keywords: | P-sets （ XF XF ） outer PPF（f） -sets probability of element transfer |
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