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带移民的上临界分支过程在一般条件下的小值概率
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作者 褚为娟 李文博 《中国科学:数学》 CSCD 北大核心 2014年第9期929-938,共10页
本文的主要目的是在后代分布均值有限但L log L阶距无限的条件下研究带移民的上临界分支过程(Z_n)的小值概率.当后代分布均值有限且移民分布的log L阶距有限时,存在常数序列{C_n,n≥0}使得C_n^(-1)Z_n收敛到一个非负有限且非退化的随机... 本文的主要目的是在后代分布均值有限但L log L阶距无限的条件下研究带移民的上临界分支过程(Z_n)的小值概率.当后代分布均值有限且移民分布的log L阶距有限时,存在常数序列{C_n,n≥0}使得C_n^(-1)Z_n收敛到一个非负有限且非退化的随机变量,记作W.本文基于前期关于分支过程小值概率的工作,在最一般的条件下得到了W的小值概率,即P(W≤ε)在ε→0^+时的收敛速率. 展开更多
关键词 上临界分支过程 小值概率 移民
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Fault diagnosis using a probability least squares support vector classification machine 被引量:4
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作者 GAO Yang, WANG Xuesong, CHENG Yuhu, PAN Jie School of Information and Electrical Engineering, China University of Mining & Technology, Xuzhou 221116, China 《Mining Science and Technology》 EI CAS 2010年第6期917-921,共5页
Coal mines require various kinds of machinery. The fault diagnosis of this equipment has a great impact on mine production. The problem of incorrect classification of noisy data by traditional support vector machines ... Coal mines require various kinds of machinery. The fault diagnosis of this equipment has a great impact on mine production. The problem of incorrect classification of noisy data by traditional support vector machines is addressed by a proposed Probability Least Squares Support Vector Classification Machine (PLSSVCM). Samples that cannot be definitely determined as belonging to one class will be assigned to a class by the PLSSVCM based on a probability value. This gives the classification results both a qualitative explanation and a quantitative evaluation. Simulation results of a fault diagnosis show that the correct rate of the PLSSVCM is 100%. Even though samples are noisy, the PLSSVCM still can effectively realize multi-class fault diagnosis of a roller bearing. The generalization property of the PLSSVCM is better than that of a neural network and a LSSVCM. 展开更多
关键词 fault diagnosis PROBABILITY least squares support vector classification machine roller bearing
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Multiwavelets domain singular value features for image texture classification 被引量:1
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作者 RAMAKRISHNAN S. SELVAN S. 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2007年第4期538-549,共12页
A new approach based on multiwavelets transformation and singular value decomposition (SVD) is proposed for the classification of image textures. Lower singular values are truncated based on its energy distribution to... A new approach based on multiwavelets transformation and singular value decomposition (SVD) is proposed for the classification of image textures. Lower singular values are truncated based on its energy distribution to classify the textures in the presence of additive white Gaussian noise (AWGN). The proposed approach extracts features such as energy, entropy, local homogeneity and max-min ratio from the selected singular values of multiwavelets transformation coefficients of image textures. The classification was carried out using probabilistic neural network (PNN). Performance of the proposed approach was compared with conventional wavelet domain gray level co-occurrence matrix (GLCM) based features, discrete multiwavelets transformation energy based approach, and HMM based approach. Experimental results showed the superiority of the proposed algorithms when compared with existing algorithms. 展开更多
关键词 Image texture classification Multiwavelets transformation Probabilistic neural network (PNN)
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上临界超过程的一类强极限的性质
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作者 任艳霞 宋仁明 张蕊 《中国科学:数学》 CSCD 北大核心 2019年第3期485-504,共20页
假设X={X_t, t≥0; P_μ}是局部紧可分距离空间E上的上临界超过程,Ф_0是X的均值半群的生成元的与第一特征值λ_0对应的正特征函数,则M_t:=e^(-λ_0t)<Ф_0, X_t>是非负鞅.令M_∞是M_t的极限,则M_∞是非退化的当且仅当L log L条... 假设X={X_t, t≥0; P_μ}是局部紧可分距离空间E上的上临界超过程,Ф_0是X的均值半群的生成元的与第一特征值λ_0对应的正特征函数,则M_t:=e^(-λ_0t)<Ф_0, X_t>是非负鞅.令M_∞是M_t的极限,则M_∞是非退化的当且仅当L log L条件成立.当L log L条件不一定成立时,最近, Ren等(2017)证明了存在定义在[0,∞)上的非负函数γ_t及非退化随机变量W使得对任意E上非零Borel有限测度μ,有lim_(t→∞) 展开更多
关键词 超过程 上临界 非退化强极限 绝对连续 小值概率 概率
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