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Local Dependence Test Between Random Vectors Based on the Robust Conditional Spearman's ρ and Kendall's τ

Acta Mathematicae Applicatae Sinica 2023年第3期39卷 491-510页

作者： Ling-yue ZHANG Heng-jian CUI School of Mathematical Sciences Capital Normal UniversityBeijing 100048China

This paper introduces two local conditional dependence matrices based on Spearman'sρand Kendall'sτgiven the condition that the underlying random variables belong to the intervals determined by their quantiles.The robustness is studied by means of the influence functions of conditional Spearman'sρand Kendall'sτ.Using the two matrices,we construct the corresponding test statistics of local conditional dependence and derive their limit behavior including consistency,null and alternative asymptotic distributions.Simulation studies illustrate a superior power performance of the proposed Kendall-based test.Real data analysis with proposed methods provides a precise description and explanation of some financial phenomena in terms of mathematical statistics.

关键词： local dependence influence function rank correlation U-statistic

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Variability in Regional Ecological Vulnerability: A Case Study of Sichuan Province, China

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International Journal of Disaster Risk Science 2020年第6期11卷 696-708页

作者： Yimeng Liu Saini Yang Chuanliang Han Wei Ni Yuyao Zhu Key Laboratory of Environmental Change and Natural Disaster Ministry of EducationBeijing Normal UniversityBeijing 100875China State Key Laboratory of Earth Surface Processes and Resource Ecology Beijing Normal UniversityBeijing 100875China Academy of Disaster Reduction and Emergency Management Ministry of Emergency Management and Ministry of EducationFaculty of Geographical ScienceBeijing Normal UniversityBeijing 100875China State Key Laboratory of Cognitive Neuroscience and Learning and IDG/McGovern Institute for Brain Research Beijing Normal UniversityBeijing 100875China

Rapid urbanization and natural hazards are posing threats to local ecological processes and ecosystem services worldwide.Using land use,socioeconomic,and natural hazards data,we conducted an assessment of the ecological vulnerability of prefectures in Sichuan Province for the years 2005,2010,and 2015 to capture variations in its capacity to modulate in response to disturbances and to explore potential factors driving these variations.We selected five landscape metrics and two topological indicators for the proposed ecological vulnerability index(EVI),and constructed the EVI using a principal component analysis-based entropy method.A series of correlation analyses were subsequently performed to identify the factors driving variations in ecological vulnerability.The results show that:(1)for each of the study years,prefectures with high ecological vulnerability were located mainly in southern and eastern Sichuan,whereas prefectures in central and western Sichuan were of relatively low ecological vulnerability;(2)Sichuan’s ecological vulnerability increased significantly(p=0.011)during2005–2010;(3)anthropogenic activities were the main factors driving variations in ecological vulnerability.These findings provide a scientific basis for implementing ecological protection and restoration in Sichuan as well as guidelines for achieving integrated disaster risk reduction.

关键词： Anthropogenic activities Ecological vulnerability Natural hazards PCA-based entropy method rank correlation

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Wind farm polymerization influences on security and economic operation in power system based on Copula function

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Journal of Modern Power Systems and Clean Energy 2015年第3期3卷 381-392页

作者： Xiong PAN Zhuo LIU Wenxia LIU Yanqing LI Postgraduate Workstation of Yunnan Power Gird Company Ltd.North China Electric Power UniversityKunming 650217China North China Electric Power University Baoding 071000China Grid Planning&Research Center Guizhou Power Grid CooporationCSGGuiyang 550002China

Wind speed dependences on different areas in a wind farm have influences on security and economic operation in power system.In order to simulate the correlation of wind speed series between different positions,this paper applies Copula function and rank correlation matrix methods to measure the coherence of wind speed in a wind farm.The correlated wind sample space is established.According to active power output characteristics of wind turbines,the polymerization model in a wind farm can be achieved.Monte Carlo optimal power flow is applied to IEEE-30 and IEEE-300 bus systems based on the principle of energy saving dispatching.The study shows that the accuracy of outputs is improved,thus reducing the fluctuation ranges in unit generating costs and power flow in branches while considering wind speed polymerization.This approach provides a new method to improve the effectiveness of energy saving dispatching and system operation arrangement.Results have been tested to be effective.

关键词： Copula function Wind farm polymerized model rank correlation Optimal power flow

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相依风险条件下的医疗费用预测模型及其应用

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统计与精算 2016年第1期 761-768页

作者：刘新红孟生旺

在医疗费用的预测中，通常假设门诊费用与住院费用相互独立，事实上它们之间往往存在一定的相依关系。它们的相依性可以通过Copula函数来描述。在已知医疗费用发生的条件下，假设门诊费用和住院费用分别服从伽玛分布、逆高斯分布、对数... 详细信息

在医疗费用的预测中，通常假设门诊费用与住院费用相互独立，事实上它们之间往往存在一定的相依关系。它们的相依性可以通过Copula函数来描述。在已知医疗费用发生的条件下，假设门诊费用和住院费用分别服从伽玛分布、逆高斯分布、对数正态分布和GB2分布，可以建立门诊费用与住院费用相互依赖的Copula回归模型。本文将此模型应用于一组实际的医疗费用数据，结果表明，考虑相依关系的回归模型要优于独立假设下的医疗费用预测模型。

关键词：相依风险 Copula回归预测模型 GB2分布秩相关　　dependent risks copula regression predictive model GB2 distribution rank correlation

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Novel Detection Method on Polarization Spectral Imaging in Handwriting Identification

Novel Detection Method on Polarization Spectral Imaging in H...

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第三十九届中国控制会议

作者： Miao Zhang Sicong Niu Jiawen Feng Yi Shen Department of Control Science and Engineering Harbin Institute of Technology

This paper proposes a novel dection method for determining the sequence of seal and signature based on polarization spectral imaging.In order to solve the problem of serious loss of information,great influence by the environment and poor judgment accuracy in the current method,we used the polarization hyperspectral feature vector of the target band with strong information to carry out correlation analysis,and judged the order of seal and signature by rank correlation.The results show that this detection method is very effective and has a faster and more sensitive effect on handwriting identification,which is suitable for both evenly distributed and uneven handwriting,

关键词： Polarization hyperspectral imaging image fusion dynamic threshold rank correlation

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