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基于混合t Location-Scale分布模型的光伏功率随机性分量波动性分析 被引量:5
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作者 杨茂 孟玲建 +3 位作者 李大勇 苏欣 孙涌 贾云彭 《可再生能源》 CAS 北大核心 2017年第10期1494-1499,共6页
光伏波动性是影响光伏功率稳定并网的关键问题之一。为了更准确地对光伏功率随机性分量进行定量描述,文章首先利用周期图法提取功率的周期性分量,然后提出了混合t Location-Scale分布模型,并对光伏功率随机性分量进行拟合。验证了文章... 光伏波动性是影响光伏功率稳定并网的关键问题之一。为了更准确地对光伏功率随机性分量进行定量描述,文章首先利用周期图法提取功率的周期性分量,然后提出了混合t Location-Scale分布模型,并对光伏功率随机性分量进行拟合。验证了文章所提模型在拟合光伏功率随机性分量波动性上的优越性,讨论该模型在不同采样时间间隔、不同地区的有效性和适用性。并以某地区光伏电站群实测数据为例,验证了混合t Location-Scale分布模型对随机性分量波动性拟合效果的优势。 展开更多
关键词 随机性分量 波动性 周期图 混合t Location-Scale分布
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Some Notes of p-Moment Boundedness of Nonlinear Differential Equation with Pandom Impulses
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作者 赵佃立 《Journal of Shanghai Jiaotong university(Science)》 EI 2006年第3期384-388,共5页
A model of nonlinear differential systems with impulsive effect on random moments is considered. The extensions of qualitative analysis of the model is mainly focused on and three modified sufficient conditions are pr... A model of nonlinear differential systems with impulsive effect on random moments is considered. The extensions of qualitative analysis of the model is mainly focused on and three modified sufficient conditions are presented about p-moment boundedness in the process by Liapunov method with nonlinear item dependent on the impulsive effects, which may gain wider use in industrial engineering, physics, etc. At last, an example is given to show an theoretical application of the obtained results. 展开更多
关键词 p-moment boundedness nonlinear differential equation with random impulses Liapunov function
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Benford's Law and Invariances
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作者 Zoran Jasak 《Journal of Mathematics and System Science》 2014年第7期457-462,共6页
Benford's law is logarithmic law for distribution of leading digits formulated by P[D=d]= log(1+1/d) where d is leading digit or group of digits. It's named by Frank Albert Benford (1938) who formulated mathema... Benford's law is logarithmic law for distribution of leading digits formulated by P[D=d]= log(1+1/d) where d is leading digit or group of digits. It's named by Frank Albert Benford (1938) who formulated mathematical model of this probability. Befbre him, the same observation was made by Simon Newcomb. This law has changed usual preasumption of equal probability of each digit on each position in number.The main characteristic properties of this law are base, scale, sum, inverse and product invariance. Base invariance means that logarithmic law is valid for any base. Inverse invariance means that logarithmic law for leading digits holds for inverse values in sample. Multiplication invariance means that if random variable X follows Benford's law and Y is arbitrary random variable with continuous density then XY follows Benford's law too. Sum invariance means that sums of significand are the same for any leading digit or group of digits. In this text method of testing sum invariance property is proposed. 展开更多
关键词 Benford's law sum invariance significand DIVERGENCE harmonic mean
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Rosenthal's inequalities for independent and negatively dependent random variables under sub-linear expectations with applications 被引量:49
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作者 ZHANG LiXin 《Science China Mathematics》 SCIE CSCD 2016年第4期751-768,共18页
Classical Kolmogorov's and Rosenthal's inequalities for the maximum partial sums of random variables are basic tools for studying the strong laws of large numbers.In this paper,motived by the notion of indepen... Classical Kolmogorov's and Rosenthal's inequalities for the maximum partial sums of random variables are basic tools for studying the strong laws of large numbers.In this paper,motived by the notion of independent and identically distributed random variables under the sub-linear expectation initiated by Peng(2008),we introduce the concept of negative dependence of random variables and establish Kolmogorov's and Rosenthal's inequalities for the maximum partial sums of negatively dependent random variables under the sub-linear expectations.As an application,we show that Kolmogorov's strong law of larger numbers holds for independent and identically distributed random variables under a continuous sub-linear expectation if and only if the corresponding Choquet integral is finite. 展开更多
关键词 sub-linear expectation capacity Kolmogorov's inequality Rosenthal's inequality negative dependence strong laws of large numbers
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Stochastic stability analysis of networked control systems with random cryptographic protection under random zero-measurement attacks
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作者 Meng-zhou GAO Dong-qin FENG 《Frontiers of Information Technology & Electronic Engineering》 SCIE EI CSCD 2018年第9期1098-1111,共14页
Security issues in networked control systems(NCSs) have received increasing attention in recent years.However, security protection often requires extra energy consumption, computational overhead, and time delays,whi... Security issues in networked control systems(NCSs) have received increasing attention in recent years.However, security protection often requires extra energy consumption, computational overhead, and time delays,which could adversely affect the real-time and energy-limited system. In this paper, random cryptographic protection is implemented. It is less expensive with respect to computational overhead, time, and energy consumption,compared with persistent cryptographic protection. Under the consideration of weak attackers who have little system knowledge, ungenerous attacking capability and the desire for stealthiness and random zero-measurement attacks are introduced as the malicious modification of measurements into zero signals. NCS is modeled as a stochastic system with two correlated Bernoulli distributed stochastic variables for implementation of random cryptographic protection and occurrence of random zero-measurement attacks; the stochastic stability can be analyzed using a linear matrix inequality(LMI) approach. The proposed stochastic stability analysis can help determine the proper probability of running random cryptographic protection against random zero-measurement attacks with a certain probability. Finally, a simulation example is presented based on a vertical take-off and landing(VTOL) system. The results show the effectiveness, robustness, and application of the proposed method, and are helpful in choosing the proper protection mechanism taking into account the time delay and in determining the system sampling period to increase the resistance against such attacks. 展开更多
关键词 Networked control systems Security Cyber attacks Stochastic stability Cryptographic protection
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