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具有无界计分函数的L-统计量的Bootstrap逼近 被引量:1
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作者 王启应 《数学年刊(A辑)》 CSCD 北大核心 1994年第3期281-286,共6页
利用经验过程方面的若干事实,本文建立了具有无界计分函数的L-统计量的Bootstrap逼近,取得了较为理想的结果.
关键词 BOOTSTRAP 逼近 计分函数 L统计量
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引入单值中智信息的战储航材品种三支决策方法
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作者 赵亮亮 赵辉 +1 位作者 李文鹏 谢迁 《火力与指挥控制》 北大核心 2025年第5期124-130,共7页
针对固定预算及有限信息导致的战储航材品种确定困难的问题,提出一种战储航材三支决策品种确定方法,以战储航材信息系统为背景,提出战储航材品种三支决策模型,基于贝叶斯准则计算决策规则,在此基础上,引入单值中智信息,利用计分函数及... 针对固定预算及有限信息导致的战储航材品种确定困难的问题,提出一种战储航材三支决策品种确定方法,以战储航材信息系统为背景,提出战储航材品种三支决策模型,基于贝叶斯准则计算决策规则,在此基础上,引入单值中智信息,利用计分函数及精确度函数求解期望损失最小的三域划分,依据决策规则实现战储航材品种的动态决策。通过应用实例阐述方法的有效性,相比传统二值决策方法,所提方法能有效权衡当前预算及长期效益的矛盾,具有更高的一致性且描述的逼真度更好。 展开更多
关键词 战储航材 三支决策 单值中智数 计分函数 精确度函数
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单值中智信息下的一种新型三支决策模型 被引量:4
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作者 杨海龙 任欢欢 焦丽 《陕西师范大学学报(自然科学版)》 CAS CSCD 北大核心 2022年第3期1-6,F0002,共7页
在单值中智信息下,利用计分函数与精确度函数,根据贝叶斯决策理论提出了一种新型的三支决策模型,其中损失函数是单值中智数;并给出了一个算法,通过实例说明了提出的模型与算法的有效性;通过与已有模型的比较,提出的模型更突出了单值中... 在单值中智信息下,利用计分函数与精确度函数,根据贝叶斯决策理论提出了一种新型的三支决策模型,其中损失函数是单值中智数;并给出了一个算法,通过实例说明了提出的模型与算法的有效性;通过与已有模型的比较,提出的模型更突出了单值中智数不确定隶属度的意义。 展开更多
关键词 三支决策 单值中智集 计分函数 精确度函数
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关于秩统计量的Cramér型大偏差
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作者 孔繁超 《数学年刊(A辑)》 CSCD 北大核心 1990年第6期712-716,共5页
本文讨论线性秩统计量、符号线性秩统计量、次序统计量函数的线性组合和秩组合统计量的Cram(?)r型大偏差问题,在减弱[5]中主要定理的假定的条件下,得到了同样的结论.在独立同分布情形,当φ′(x)在(0,1)上满足Lipdchitz条件时,在减弱[3]... 本文讨论线性秩统计量、符号线性秩统计量、次序统计量函数的线性组合和秩组合统计量的Cram(?)r型大偏差问题,在减弱[5]中主要定理的假定的条件下,得到了同样的结论.在独立同分布情形,当φ′(x)在(0,1)上满足Lipdchitz条件时,在减弱[3]中主要定理的条件下,也得到了同样的结果。 展开更多
关键词 秩统计量 Cramér型大偏差 随机变量 计分函数 分布函数
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光滑两值响应模型的随机加权方法(英文)
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作者 袁敏 吴小燕 《中国科学技术大学学报》 CAS CSCD 北大核心 2015年第11期881-892,共12页
光滑计分估计在一定的正则条件下具有n相合性及渐近正态性.然而由于渐近方差包含了与未知误差分布有关的未知函数参数而很难被精确估计.这里提出了用随机加权的方法估计极大光滑计分估计的渐近方差,并从理论证明和计算机模拟两方面证明... 光滑计分估计在一定的正则条件下具有n相合性及渐近正态性.然而由于渐近方差包含了与未知误差分布有关的未知函数参数而很难被精确估计.这里提出了用随机加权的方法估计极大光滑计分估计的渐近方差,并从理论证明和计算机模拟两方面证明了所提出的估计具有相合性和渐近正态性. 展开更多
关键词 随机加权方法 极大光滑计分函数 两值响应模型
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Improved response surface method and its application in stability reliability degree analysis of tunnel surrounding rock 被引量:10
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作者 苏永华 张鹏 赵明华 《Journal of Central South University of Technology》 EI 2007年第6期870-876,共7页
An approach of limit state equation for surrounding rock was put forward based on deformation criterion. A method of symmetrical sampling of basic random variables adopted by classical response surface method was mend... An approach of limit state equation for surrounding rock was put forward based on deformation criterion. A method of symmetrical sampling of basic random variables adopted by classical response surface method was mended, and peak value and deflection degree of basic random variables distribution curve were took into account in the mended sampling method. A calculation way of probability moment, based on mended Rosenbluth method, suitable for non-explicit performance function was put forward. The first, second, third and fourth order moments of functional function value were calculated by mended Rosenbluth method through the first, second, third and fourth order moments of basic random variable. A probability density the function(PDF) of functional function was deduced through its first, second, third and fourth moments, the PDF in the new method took the place of the method of quadratic polynomial to approximate real functional function and reliability probability was calculated through integral by the PDF for random variable of functional function value in the new method. The result shows that the improved response surface method can adapt to various statistic distribution types of basic random variables, its calculation process is legible and need not itemtive circulation. In addition, a stability probability of surrounding rock for a tunnel was calculated by the improved method, whose workload is only 30% of classical method and its accuracy is comparative. 展开更多
关键词 response surface method Rosenbluth method statistic moment entropy density function quadratic polynomial
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A simplified approach for settlement calculation of pile groups considering pile-to-pile interaction in layered soils 被引量:5
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作者 杨明辉 张小威 赵明华 《Journal of Central South University》 SCIE EI CAS 2011年第6期2131-2136,共6页
A simplified approach is presented for the analysis of the settlement of vertically loaded pile groups. In order to simulate the nonlinear pile-to-pile interaction in pile groups, the soils along the piles are assumed... A simplified approach is presented for the analysis of the settlement of vertically loaded pile groups. In order to simulate the nonlinear pile-to-pile interaction in pile groups, the soils along the piles are assumed to behave as a series of nonlinear springs subjected to the shaft shear stress at the pile/soil interface. Considering the displacement reduction induced by the pile-to-pile interaction, the shear-deformation method is adopted to approximate the displacement field of the layered soils around the piles, and the equivalent stiffness of the springs is obtained. Furthermore, the load-settlement response of pile groups is deduced by modifying the load-transfer functions to account for the pile-to-pile interaction. The settlements of a laboratory pile groups computed by the presented approach are in a good agreement with measured results. The analysis on Contrastive parameters shows that the settlements of pile group decrease with the increase of the pile space and pile length, and the part of piles exceeding the critical pile length has little contribution to the beating capacity of the pile groups. 展开更多
关键词 pile groups SETTLEMENT pile-to-pile interaction load transfer shear-deformation method
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An algorithm for moving target detection in IR image based on grayscale distribution and kernel function 被引量:6
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作者 王鲁平 张路平 +1 位作者 赵明 李飚 《Journal of Central South University》 SCIE EI CAS 2014年第11期4270-4278,共9页
A fast algorithm based on the grayscale distribution of infrared target and the weighted kernel function was proposed for the moving target detection(MTD) in dynamic scene of image series. This algorithm is used to de... A fast algorithm based on the grayscale distribution of infrared target and the weighted kernel function was proposed for the moving target detection(MTD) in dynamic scene of image series. This algorithm is used to deal with issues like the large computational complexity, the fluctuation of grayscale, and the noise in infrared images. Four characteristic points were selected by analyzing the grayscale distribution in infrared image, of which the series was quickly matched with an affine transformation model. The image was then divided into 32×32 squares and the gray-weighted kernel(GWK) for each square was calculated. At last, the MTD was carried out according to the variation of the four GWKs. The results indicate that the MTD can be achieved in real time using the algorithm with the fluctuations of grayscale and noise can be effectively suppressed. The detection probability is greater than 90% with the false alarm rate lower than 5% when the calculation time is less than 40 ms. 展开更多
关键词 moving target detection gray-weighted kernel function dynamic background
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