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Probability distribution of wind power volatility based on the moving average method and improved nonparametric kernel density estimation 被引量:3
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作者 Peizhe Xin Ying Liu +2 位作者 Nan Yang Xuankun Song Yu Huang 《Global Energy Interconnection》 2020年第3期247-258,共12页
In the process of large-scale,grid-connected wind power operations,it is important to establish an accurate probability distribution model for wind farm fluctuations.In this study,a wind power fluctuation modeling met... In the process of large-scale,grid-connected wind power operations,it is important to establish an accurate probability distribution model for wind farm fluctuations.In this study,a wind power fluctuation modeling method is proposed based on the method of moving average and adaptive nonparametric kernel density estimation(NPKDE)method.Firstly,the method of moving average is used to reduce the fluctuation of the sampling wind power component,and the probability characteristics of the modeling are then determined based on the NPKDE.Secondly,the model is improved adaptively,and is then solved by using constraint-order optimization.The simulation results show that this method has a better accuracy and applicability compared with the modeling method based on traditional parameter estimation,and solves the local adaptation problem of traditional NPKDE. 展开更多
关键词 Moving average method Signal decomposition Wind power fluctuation characteristics kernel density estimation Constrained order optimization
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Wind speed model based on kernel density estimation and its application in reliability assessment of generating systems 被引量:10
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作者 Bo HU Yudun LI +1 位作者 Hejun YANG He WANG 《Journal of Modern Power Systems and Clean Energy》 SCIE EI 2017年第2期220-227,共8页
An accurate probability distribution model of wind speed is critical to the assessment of reliability contribution of wind energy to power systems. Most of current models are built using the parametric density estimat... An accurate probability distribution model of wind speed is critical to the assessment of reliability contribution of wind energy to power systems. Most of current models are built using the parametric density estimation(PDE) methods, which usually assume that the wind speed are subordinate to a certain known distribution(e.g. Weibull distribution and Normal distribution) and estimate the parameters of models with the historical data. This paper presents a kernel density estimation(KDE) method which is a nonparametric way to estimate the probability density function(PDF) of wind speed. The method is a kind of data-driven approach without making any assumption on the form of the underlying wind speed distribution, and capable of uncovering the statistical information hidden in the historical data. The proposed method is compared with three parametric models using wind data from six sites.The results indicate that the KDE outperforms the PDE in terms of accuracy and flexibility in describing the longterm wind speed distributions for all sites. A sensitivity analysis with respect to kernel functions is presented and Gauss kernel function is proved to be the best one. Case studies on a standard IEEE reliability test system(IEEERTS) have verified the applicability and effectiveness of the proposed model in evaluating the reliability performance of wind farms. 展开更多
关键词 Wind speed model kernel density estimation Reliability evaluation Wind power
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Kernel Density Estimation Based Multiphase Fuzzy Region Competition Method for Texture Image Segmentation 被引量:1
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作者 Fang Li Michael K.Ng 《Communications in Computational Physics》 SCIE 2010年第8期623-641,共19页
In this paper,we propose a multiphase fuzzy region competition model for texture image segmentation.In the functional,each region is represented by a fuzzy membership function and a probability density function that i... In this paper,we propose a multiphase fuzzy region competition model for texture image segmentation.In the functional,each region is represented by a fuzzy membership function and a probability density function that is estimated by a nonparametric kernel density estimation.The overall algorithm is very efficient as both the fuzzy membership function and the probability density function can be implemented easily.We apply the proposed method to synthetic and natural texture images,and synthetic aperture radar images.Our experimental results have shown that the proposed method is competitive with the other state-of-the-art segmentation methods. 展开更多
关键词 TEXTURE multiphase region competition kernel density estimation fuzzy membership function total variation
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Optimization Strategy of Commercial Space in Xianyukou Hutong Based on Kernel Density and Space Syntax
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作者 Qiqi Xiong Yi Zheng Bo Zhang 《Journal of World Architecture》 2022年第6期40-48,共9页
Beijing Xianyukou Hutong(hutong refers to historical and cultural block in Chinese)occupies an important geographical location with unique urban fabric,and after years of renewal and protection,the commercial space of... Beijing Xianyukou Hutong(hutong refers to historical and cultural block in Chinese)occupies an important geographical location with unique urban fabric,and after years of renewal and protection,the commercial space of Xianyukou Street and has gained some recognition.This article Xianyukou takes commercial hutong in Beijing as an example,spatial analysis was carried out using methods like GIS kernel density method,space syntax after site investigation and research.Based on the street space problems found,this paper then puts forward strategies to improve and upgrade Xianyukou Street’s commercial space and improve businesses in Xianyukou Street and other similar hutong. 展开更多
关键词 HUTONG Xianyukou Street Commercial space Space syntax kernel density estimation
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Improved Algorithm of Variable Bandwidth Kernel Particle Filter
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作者 葛欣 丁恩杰 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2014年第3期303-307,共5页
Aiming at the large cost of calculating variable bandwidth kernel particle filter and the high complexity of its algorithm,a self-adjusting kernel function particle filter is presented. Kernel density estimation is fa... Aiming at the large cost of calculating variable bandwidth kernel particle filter and the high complexity of its algorithm,a self-adjusting kernel function particle filter is presented. Kernel density estimation is facilitated to iterate and obtain new particle set. And the standard deviation of particle is introduced in the kernel bandwidth. According to the characteristics of particle distribution,the bandwidth is dynamically adjusted,and the particle distribution can thus be more close to the posterior probability density model of the system. Meanwhile,the kernel density is used to estimate the weight of updating particle and the system state. The simulation results show the feasibility and effectiveness of the proposed algorithm. 展开更多
关键词 particle filter kernel density estimation kernel bandwidth SELF-ADJUSTING
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2011-2020年我国医学生分布的区域差异及动态演进
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作者 陈洁婷 朱燕 +2 位作者 杨凯 王佳怡 李思源 《中国卫生资源》 CSCD 北大核心 2023年第4期397-403,共7页
目的研究我国医学生分布的集聚水平、空间分布特征和时空演变趋势,为宏观调控医学高等院校区域均衡发展提供依据。方法运用集聚度、空间自相关模型和核密度估计法分析医学生空间分布情况和发展趋势。结果2011—2020年,我国医学生集聚水... 目的研究我国医学生分布的集聚水平、空间分布特征和时空演变趋势,为宏观调控医学高等院校区域均衡发展提供依据。方法运用集聚度、空间自相关模型和核密度估计法分析医学生空间分布情况和发展趋势。结果2011—2020年,我国医学生集聚水平在观察末期升至7.478,涨幅15.43%,呈现“东高西低、南高北低”的空间分布格局。各省份间呈空间正相关性,形成稳定的“高高集聚、低低集聚”的空间分布特征。医学生分布的绝对差异在中部地区趋于缓和,在东、西部地区持续扩大,总体呈多极化演化特征。结论我国医学生分布的集聚水平稳步上升且存在不均衡现象,已形成稳定的聚集区域并存在低流动性。建议构建区域医学高等教育协同发展机制,以促进医学院校资源的优质均衡发展。 展开更多
关键词 医学生medical student 区域差异regional differences 集聚度concentration degree 空间自相关spatial autocorrelation 核密度估计kernel density estimation
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Data-driven source-load robust optimal scheduling of integrated energy production unit including hydrogen energy coupling 被引量:1
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作者 Jinling Lu Dingyue Huang Hui Ren 《Global Energy Interconnection》 EI CSCD 2023年第4期375-388,共14页
A robust low-carbon economic optimal scheduling method that considers source-load uncertainty and hydrogen energy utilization is developed.The proposed method overcomes the challenge of source-load random fluctuations... A robust low-carbon economic optimal scheduling method that considers source-load uncertainty and hydrogen energy utilization is developed.The proposed method overcomes the challenge of source-load random fluctuations in integrated energy systems(IESs)in the operation scheduling problem of integrated energy production units(IEPUs).First,to solve the problem of inaccurate prediction of renewable energy output,an improved robust kernel density estimation method is proposed to construct a data-driven uncertainty output set of renewable energy sources statistically and build a typical scenario of load uncertainty using stochastic scenario reduction.Subsequently,to resolve the problem of insufficient utilization of hydrogen energy in existing IEPUs,a robust low-carbon economic optimal scheduling model of the source-load interaction of an IES with a hydrogen energy system is established.The system considers the further utilization of energy using hydrogen energy coupling equipment(such as hydrogen storage devices and fuel cells)and the comprehensive demand response of load-side schedulable resources.The simulation results show that the proposed robust stochastic optimization model driven by data can effectively reduce carbon dioxide emissions,improve the source-load interaction of the IES,realize the efficient use of hydrogen energy,and improve system robustness. 展开更多
关键词 Hydrogen energy coupling DATA-DRIVEN Robust kernel density estimation Robust optimization Integrated demand response
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Active Kriging-Based Adaptive Importance Sampling for Reliability and Sensitivity Analyses of Stator Blade Regulator 被引量:1
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作者 Hong Zhang Lukai Song Guangchen Bai 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第3期1871-1897,共27页
The reliability and sensitivity analyses of stator blade regulator usually involve complex characteristics like highnonlinearity,multi-failure regions,and small failure probability,which brings in unacceptable computi... The reliability and sensitivity analyses of stator blade regulator usually involve complex characteristics like highnonlinearity,multi-failure regions,and small failure probability,which brings in unacceptable computing efficiency and accuracy of the current analysismethods.In this case,by fitting the implicit limit state function(LSF)with active Kriging(AK)model and reducing candidate sample poolwith adaptive importance sampling(AIS),a novel AK-AIS method is proposed.Herein,theAKmodel andMarkov chainMonte Carlo(MCMC)are first established to identify the most probable failure region(s)(MPFRs),and the adaptive kernel density estimation(AKDE)importance sampling function is constructed to select the candidate samples.With the best samples sequentially attained in the reduced candidate samples and employed to update the Kriging-fitted LSF,the failure probability and sensitivity indices are acquired at a lower cost.The proposed method is verified by twomulti-failure numerical examples,and then applied to the reliability and sensitivity analyses of a typical stator blade regulator.Withmethods comparison,the proposed AK-AIS is proven to hold the computing advantages on accuracy and efficiency in complex reliability and sensitivity analysis problems. 展开更多
关键词 Markov chain Monte Carlo active Kriging adaptive kernel density estimation importance sampling
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Whether the digital economy will successfully encourage the integration of urban and rural development: A case study in China
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作者 Yafei Wang Qingyun Peng +3 位作者 Chao Jin Jin Ren Yuanyuan Fu Xiaofeng Yue 《Chinese Journal of Population,Resources and Environment》 2023年第1期13-25,共13页
The digital economy has become an important driver for stimulating economic growth.The digital economy has now widely penetrated the fields of economy and society,providing new opportunities for the develop‐ment of u... The digital economy has become an important driver for stimulating economic growth.The digital economy has now widely penetrated the fields of economy and society,providing new opportunities for the develop‐ment of urban-rural integration.Based on panel data for 30 provinces in China from 2011 to 2020,this study constructed an index system for the integration of the digital economy and the development of urban-rural areas and conducted a systematic measurement analysis.Additionally,we used a two-step system of GMM estimation to analyze the impact of the digital economy on the development of urban-rural integra‐tion.The findings demonstrate the significant imbalance paradox of China’s digital economy development,which is shown in a gradient where the eastern region is higher than the center and the central region is higher than the west.Urban-rural integration levels in China fluctuate and display geographical variance,typically displaying high levels in the east and low levels in the west.Urban-rural integration is significantly encouraged by the digital economy,yet it varies in variability between different areas and dimensions.Addi‐tionally,rural human capital moderates the favorable effects of the digital economy on urban-rural integra‐tion.As a result,in order to achieve the integrated development of urban and rural areas,it is imperative to fully exploit the active role of the digital economy,better support the development of rural revitalization,bridge the“digital divide”between urban and rural development,and build a strong foundation for the for‐mation of a digital urban-rural integrated development pattern with urban and rural areas and common con‐struction and sharing. 展开更多
关键词 Digital economy Urban-rural integration kernel density estimation Two-step dynamic system GMM
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Spatial Pattern Evolution and Influencing Factors of Cold Storage in China 被引量:4
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作者 LI Jinfeng XU Haicheng +2 位作者 LIU Wanwan WANG Dongfang ZHOU Shuang 《Chinese Geographical Science》 SCIE CSCD 2020年第3期505-515,共11页
Cold storage is the vital infrastructure of cold chain logistics. In this study, we analyzed the spatial pattern evolution characteristics, spatial autocorrelation and influencing factors of cold storage in China by u... Cold storage is the vital infrastructure of cold chain logistics. In this study, we analyzed the spatial pattern evolution characteristics, spatial autocorrelation and influencing factors of cold storage in China by using kernel density estimation(KDE), spatial autocorrelation analysis(SAA), and spatial error model(SEM). Results showed that: 1) the spatial distribution of cold storage in China is unbalanced, and has evolved from ‘one core’ to ‘one core and many spots’, that is, ‘one core’ refers to the Bohai Rim region mainly including Beijing, Tianjin, Hebei, Shandong and Liaoning regions, and ‘many spots’ mainly include the high-density areas such as Shanghai, Fuzhou, Guangzhou, Zhengzhou, Hefei, Wuhan, ürümqi. 2) The distribution of cold storage has significant global spatial autocorrelation and local spatial autocorrelation, and the ‘High-High’ cluster area is the most stable, mainly concentrated in the Bohai Rim;the ‘Low-Low’ cluster area is grouped in the southern China. 3) Economic development level, population density, traffic accessibility, temperature and land price, all affect the location choice of cold storage in varying degrees, while the impact of market demand on it is not explicit. 展开更多
关键词 cold storage spatial pattern evolution kernel density estimation(KDE) spatial autocorrelation analysis(SAA) spatial error model(SEM) China
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Research on energy storage capacity configuration for PV power plants using uncertainty analysis and its applications 被引量:3
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作者 Honglu Zhu Ruyin Hou +1 位作者 Tingting Jiang Qingquan Lv 《Global Energy Interconnection》 EI CAS CSCD 2021年第6期608-618,共11页
Compensating for photovoltaic(PV)power forecast errors is an important function of energy storage systems.As PV power outputs have strong random fluctuations and uncertainty,it is difficult to satisfy the grid-connect... Compensating for photovoltaic(PV)power forecast errors is an important function of energy storage systems.As PV power outputs have strong random fluctuations and uncertainty,it is difficult to satisfy the grid-connection requirements using fixed energy storage capacity configuration methods.In this paper,a method of configuring energy storage capacity is proposed based on the uncertainty of PV power generation.A k-means clustering algorithm is used to classify weather types based on differences in solar irradiance.The power forecast errors in different weather types are analyzed,and an energy storage system is used to compensate for the errors.The kernel density estimation is used to fit the distributions of the daily maximum power and maximum capacity requirements of the energy storage system;the power and capacity of the energy storage unit are calculated at different confidence levels.The optimized energy storage configuration of a PV plant is presented according to the calculated degrees of power and capacity satisfaction.The proposed method was validated using actual operating data from a PV power station.The results indicated that the required energy storage can be significantly reduced while compensating for power forecast errors. 展开更多
关键词 PV power Weather classification Error analysis kernel density estimation Energy storage capacity configuration
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Analysis on Potential Conflict Frequency of Intersected Air Routes in Terminal Airspace Design 被引量:1
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作者 王超 韩邦村 刘菲 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2014年第5期580-588,共9页
In order to obtain accurate conflict risks in terminal airspace design,the concept and calculation model of potential conflict frequency for intersected routes are proposed.Conflict frequency is represented by the pro... In order to obtain accurate conflict risks in terminal airspace design,the concept and calculation model of potential conflict frequency for intersected routes are proposed.Conflict frequency is represented by the product of horizontal conflict frequency and vertical conflict probability.The horizontal conflict frequency is derived from the probability density distribution of conflicts in a period of time.Based on the recorded radar trajectory data,the concept and model of ROUTE distance are proposed,and the probability density function of aircraft height at a specified ROUTE distance is deduced by kernel density estimation.Furthermore,vertical conflict probability and its horizontal distribution are achieved.Examples of three intersected arrival and departure route design schemes are studied.Compared with scheme 1,the conflict frequency values of the other two improved schemes decrease to53% and 24%,respectively.The results show that the model can quantify potential conflict frequency of intersected routes. 展开更多
关键词 air traffic management terminal airspace design horizontal conflict frequency vertical conflict proba-bility kernel density estimation(KDE)
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Urban Land Use Efficiency and Contributing Factors in the Yangtze River Delta Under Increasing Environmental Restrictions in China
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作者 YANG Qingke WANG Lei +3 位作者 QIN Xianhong FAN Yeting WANG Yazhu DING Linlin 《Chinese Geographical Science》 SCIE CSCD 2022年第5期883-895,共13页
Evaluating urban land use efficiency(ULUE) provides insights into the interactions between land use systems and their external environment. Specifically, changes in ULUE are important for monitoring urban transformati... Evaluating urban land use efficiency(ULUE) provides insights into the interactions between land use systems and their external environment. Specifically, changes in ULUE are important for monitoring urban transformation in developing countries. In this study, using a traditional input-output index model, we incorporated slack-based measurements and undesirable outputs into a SBM-UN(slack-based measure-undesirable) model to investigate ULUE within the context of increasing environmental restrictions in China. The model was used to estimate the ULUE of 26 cities in the highly developed urban agglomeration of the Yangtze River Delta from 2000 to2018. The average ULUE in the Yangtze River Delta was relatively low compared to that of developed city regions in the European Union(EU) and North America and exhibited a U-shaped curve over the study period. Incorporating undesirable outputs, such as environmental pollution, into the model reduced ULUE by 19.06%. ULUE varied spatially, with the kernel density estimation exhibiting a bimodal distribution. Efficiency decomposition analysis showed that scale efficiency made a greater contribution to ULUE than pure technical efficiency. Based on our findings, recommended approaches to improve ULUE include optimizing factor allocation, reducing undesirable outputs, and increasing the effective output per land unit. The study suggests that ULUE and the SBM-UN model are useful planning tools for sustainable urban development. 展开更多
关键词 urban land use efficiency(ULUE) environmental restriction efficiency decomposition kernel density estimation SBM-UN(slack-based measure-undesirable)model Yangtze River Delta China
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RCV-based error density estimation in the ultrahigh dimensional additive model
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作者 Feng Zou Hengjian Cui 《Science China Mathematics》 SCIE CSCD 2022年第5期1003-1028,共26页
In this paper,we mainly study how to estimate the error density in the ultrahigh dimensional sparse additive model,where the number of variables is larger than the sample size.First,a smoothing method based on B-splin... In this paper,we mainly study how to estimate the error density in the ultrahigh dimensional sparse additive model,where the number of variables is larger than the sample size.First,a smoothing method based on B-splines is applied to the estimation of regression functions.Second,an improved two-stage refitted crossvalidation(RCV)procedure by random splitting technique is used to obtain the residuals of the model,and then the residual-based kernel method is applied to estimate the error density function.Under suitable sparse conditions,the large sample properties of the estimator,including the weak and strong consistency,as well as normality and the law of the iterated logarithm,are obtained.Especially,the relationship between the sparsity and the convergence rate of the kernel density estimator is given.The methodology is illustrated by simulations and a real data example,which suggests that the proposed method performs well. 展开更多
关键词 ultrahigh dimensional additive model B-SPLINE kernel density estimation refitted cross-validation method asymptotic property
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A new early warning method for dam displacement behavior based on non-normal distribution function
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作者 Zhen-xiang Jiang Hui Chen 《Water Science and Engineering》 EI CAS CSCD 2022年第2期170-178,共9页
Traditional methods for early warning of dam displacements usually assume that residual displacements follow a normal distribution.This assumption deviates from the reality,thereby affecting the reliability of early w... Traditional methods for early warning of dam displacements usually assume that residual displacements follow a normal distribution.This assumption deviates from the reality,thereby affecting the reliability of early warning results and leading to misjudgments of dam displacement behavior.To solve this problem,this study proposed an early warning method using a non-normal distribution function.A new early warning index was developed using cumulative distribution function(CDF)values.The method of kernel density estimation was used to calculate the CDF values of residual displacements at a single point.The copula function was used to compute the CDF values of residual displacements at multiple points.Numerical results showed that,with residual displacements in a non-normal distribution,the early warning method proposed in this study accurately reflected the dam displacement behavior and effectively reduced the frequency of false alarms.This method is expected to aid in the safe operation of dams. 展开更多
关键词 Non-normal distribution Dam displacement Early warning index kernel density estimation Copula function
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Covariate balancing based on kernel density estimates for controlled experiments
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作者 Yiou Li Lulu Kang Xiao Huang 《Statistical Theory and Related Fields》 2021年第2期102-113,共12页
Controlled experiments are widely used in many applications to investigate the causal relationship between input factors and experimental outcomes.A completely randomised design is usually used to randomly assign trea... Controlled experiments are widely used in many applications to investigate the causal relationship between input factors and experimental outcomes.A completely randomised design is usually used to randomly assign treatment levels to experimental units.When covariates of the experimental units are available,the experimental design should achieve covariate balancing among the treatment groups,such that the statistical inference of the treatment effects is not confounded with any possible effects of covariates.However,covariate imbalance often exists,because the experiment is carried out based on a single realisation of the complete randomisation.It is more likely to occur and worsen when the size of the experimental units is small or moderate.In this paper,we introduce a new covariate balancing criterion,which measures the differences between kernel density estimates of the covariates of treatment groups.To achieve covariate balance before the treatments are randomly assigned,we partition the experimental units by minimising the criterion,then randomly assign the treatment levels to the partitioned groups.Through numerical examples,weshow that the proposed partition approach can improve the accuracy of the difference-in-mean estimator and outperforms the complete randomisation and rerandomisation approaches. 展开更多
关键词 Covariate balance controlled experiment completely randomised design difference-in-mean estimator kernel density estimation rerandomisation
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Fast and accurate kernel density approximation using a divide-and-conquer approach
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作者 Yan-xia JIN Kai ZHANG +1 位作者 James T. KWOK Han-chang ZHOU 《Journal of Zhejiang University-Science C(Computers and Electronics)》 SCIE EI 2010年第9期677-689,共13页
Density-based nonparametric clustering techniques,such as the mean shift algorithm,are well known for their flexibility and effectiveness in real-world vision-based problems.The underlying kernel density estimation pr... Density-based nonparametric clustering techniques,such as the mean shift algorithm,are well known for their flexibility and effectiveness in real-world vision-based problems.The underlying kernel density estimation process can be very expensive on large datasets.In this paper,the divide-and-conquer method is proposed to reduce these computational requirements.The dataset is first partitioned into a number of small,compact clusters.Components of the kernel estimator in each local cluster are then fit to a single,representative density function.The key novelty presented here is the efficient derivation of the representative density function using concepts from function approximation,such that the expensive kernel density estimator can be easily summarized by a highly compact model with very few basis functions.The proposed method has a time complexity that is only linear in the sample size and data dimensionality.Moreover,the bandwidth of the resultant density model is adaptive to local data distribution.Experiments on color image filtering/segmentation show that,the proposed method is dramatically faster than both the standard mean shift and fast mean shift implementations based on kd-trees while 展开更多
关键词 Nonparametric clustering kernel density estimation Mean shift Image filtering
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Systematic measurement and spatiotemporal evolution of agricultural versatility in China
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作者 Yafei Wang Qijia Zhang +2 位作者 Ming Xu Ying Bai Xiaohang Wu 《Chinese Journal of Population,Resources and Environment》 2022年第1期80-90,共11页
In this study,the entropy weight method was used to measure the agricultural versatility of 30 provinces in China(excluding Tibet,Hong Kong,Macao,and Taiwan)from 2008 to 2019.In addition,the Theil index method and ker... In this study,the entropy weight method was used to measure the agricultural versatility of 30 provinces in China(excluding Tibet,Hong Kong,Macao,and Taiwan)from 2008 to 2019.In addition,the Theil index method and kernel density estimation were used to analyze the spatiotemporal characteristics of the agricultural versatility in each province.The results show that the agricultural product supply and social security functions rapidly developed,but the economic development was weak.From 2008 to 2019,the total functional index of agriculture increased by 6.74%;the functional index of the agricultural product supply,social security,and ecological services increased by 12.72%,5.53%,and 2.05%,respectively;and the functional index of economic development decreased by 1.32%.The development of agricultural multifunctions in China is regionally heterogeneous.Based on the Theil index method,the differences in the agricultural functions of the three regions are mainly due to intragroup differences.The contribution of intragroup differences of the eight economic regions is significantly lower than that of the three regions.However,intragroup differences dominate the agricultural product supply,economic development,and social security functions and intergroup differences control the ecological service function.The kernel density estimation curve shows that the overall agricultural functional evaluation index increased,among which the agricultural product supply function increased the most. 展开更多
关键词 Agricultural versatility Entropy weight method Theil index kernel density estimation
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Fracture Statistics Dominated by Hot-Cutting Defect and Deviation from Weibull Distribution
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作者 Chao Zeng Chunqing Wang +3 位作者 Yanhong Tian Chunjin Hang Wei Liu Rong An 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2015年第2期41-48,共8页
This paper characterizes the rarely noticeable hot-cutting defect and statistically models the fracture governed by this new type defect. The morphology of the defect on fired ceramic is examined and quantitatively fe... This paper characterizes the rarely noticeable hot-cutting defect and statistically models the fracture governed by this new type defect. The morphology of the defect on fired ceramic is examined and quantitatively featured through comparing the fracture strength governed by intrinsic defect and hot-cutting defect. Weibull distribution is utilized to fit the observed strength data and chi-square goodness-of-fit test is conducted to analyze the deviation. Kernel density estimation is introduced to explore the underlying strength distribution dominated by hot-cutting defect. Based on the shape information from kernel density estimating,gamma and lognormal distribution are compared and the hot-cutting defect governing fracture statistics is finally confirmed by chisquare test. Results show that the newly-defined hot-cutting defect is more dangerous than the intrinsic defect and the priori Weibull distribution fails to describe the fracture statistic governed by the edge defect while the lognormal with a slightly right skewed shape fits it very well. 展开更多
关键词 hot-cutting defect deviation from Weibull kernel density estimation lognormal distribution
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Analysis of the Characteristics of City Scale Distribution and Evolutionary Trends in China
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作者 Min Zhang Zhen Jia 《Open Journal of Statistics》 2021年第3期443-462,共20页
Ba<span style="font-family:Verdana;">sed on the urban resident population statistics from 2005 to 2018, thi</span><span style="font-family:Verdana;">s paper analyzes the distribut... Ba<span style="font-family:Verdana;">sed on the urban resident population statistics from 2005 to 2018, thi</span><span style="font-family:Verdana;">s paper analyzes the distribution and evolution of city scale in China by screening city samples according to the threshold criteria and using empirical research methods such as the City Primacy Index, the Rank-Scale Rule, the Gini coefficient of city scale, Kernel Density Estimation and Markov transfer matrix. The results show that: the most populous city in China has obvious advantages. The population distribution is concentrated in high order cities and in accordance with the law of order</span><span style="font-family:Verdana;">-</span><span style="font-family:""><span style="font-family:Verdana;">scale;the economic scale of cities is in a concentrated state, the gap between the economic development levels of different types of cities is large, and the megacities are more attractive, which to a certain extent limit the development of the scale of the rest of the cities;th</span><span style="font-family:Verdana;">e number of China’s city population is increasing, however, the ga</span><span style="font-family:Verdana;">p between the</span></span><span style="font-family:""> </span><span style="font-family:Verdana;">population scale of other cities and the most populous city continues to be large, and the structure of city population scale is not reasonable enough;megacities and megalopolises keep their original scale levels unchanged to a large extent, and the scale transition between the two types of cities is rather difficult. Finally, based on the explanatory framework of the dynamics of city scale evolution, policy recommendations are proposed to promote a more balanced distribution of city scale.</span> 展开更多
关键词 City Scale The City Primacy Index The Rank-Scale Rule The Gini Coefficient of City Scale kernel density estimation
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