| 概率密度曲线及其参数估计的模糊与随机方法 |
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| 引用本文： | 陈群志,刘文珽,金平,胡仁伟.概率密度曲线及其参数估计的模糊与随机方法[J].航空学报,1999,20(5):462-465. |
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| 作者姓名： | 陈群志 刘文珽 金平 胡仁伟 |
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| 作者单位： | 北京航空航天大学,固体力学研究所,北京,100083 |
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| 摘 要： | 首次提出了概率密度曲线及其参数估计的模糊与随机方法，并以一组疲劳寿命数据为例描述了参数估计的具体过程。对随机样本分别采用模糊与随机方法和数理统计方法进行了参数估计，结果表明：用模糊与随机方法比用数理统计方法得到参数估计值更接近理论值。
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| 关 键 词： | 概率密度 参数估计 模糊与随机 数理统计 |
| 文章编号： | 1000-6893(1999)05-0462-05 |
| 修稿时间： | 1998-07-13 |
FUZZY AND RANDOM METHOD FOR ESTIMATING PROBABILITY DENSITY AND ITS PARAMETERS |
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| CHEN Qun-zhi,LIU Wen-ting,JIN Ping,HU Ren-wei.FUZZY AND RANDOM METHOD FOR ESTIMATING PROBABILITY DENSITY AND ITS PARAMETERS[J].Acta Aeronautica et Astronautica Sinica,1999,20(5):462-465. |
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| Authors: | CHEN Qun-zhi LIU Wen-ting JIN Ping HU Ren-wei |
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| Institution: | Solid Mechanics Research Center, Beijing Univ.of Aero. and Astro., Beijing 100083, China |
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| Abstract: | A fuzzy and random method for estimating the probability density curve and its parameters was put forward for the first time.The specific process deriving the parameters was presented by dealing with a group of fatigue life data.The parameters were obtained from the random samples by adopting the fuzzy and random method and the mathematical statistics method,respectively.And the results showed that the estimated values of the parameters by means of the fuzzy and random method are closer to the theoretical ones than those of the mathematical statistics method. |
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| Keywords: | probability density parameters estimating fuzzy and random mathematical statistics |
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