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LAD PARAMETER ESTIMATION of SaS BASED on SAMPLE CHARACTERISTIC FUNCTION
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作者 陈高波 《科技信息》 2010年第25期I0028-I0028,I0027,共2页
Parameter estimation to alpha stable distribution is difficult for without a explicit probability density function. On the base of sample characteristic function,an iterative LAD parameter estimation algorithm for SaS... Parameter estimation to alpha stable distribution is difficult for without a explicit probability density function. On the base of sample characteristic function,an iterative LAD parameter estimation algorithm for SaS is discussed. The example illustrates that the algorithm is feasible and efficient. 展开更多
关键词 概率 密度函数 计算方法 迭代参数
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Scatter factor confidence interval estimate of least square maximum entropy quantile function for small samples 被引量:3
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作者 Wu Fuxian Wen Weidong 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2016年第5期1285-1293,共9页
Classic maximum entropy quantile function method (CMEQFM) based on the probability weighted moments (PWMs) can accurately estimate the quantile function of random variable on small samples, but inaccurately on the... Classic maximum entropy quantile function method (CMEQFM) based on the probability weighted moments (PWMs) can accurately estimate the quantile function of random variable on small samples, but inaccurately on the very small samples. To overcome this weakness, least square maximum entropy quantile function method (LSMEQFM) and that with constraint condition (LSMEQFMCC) are proposed. To improve the confidence level of quantile function estimation, scatter factor method is combined with maximum entropy method to estimate the confidence interval of quantile function. From the comparisons of these methods about two common probability distributions and one engineering application, it is showed that CMEQFM can estimate the quantile function accurately on the small samples but inaccurately on the very small samples (10 samples); LSMEQFM and LSMEQFMCC can be successfully applied to the very small samples; with consideration of the constraint condition on quantile function, LSMEQFMCC is more stable and computationally accurate than LSMEQFM; scatter factor confidence interval estimation method based on LSMEQFM or LSMEQFMCC has good estimation accuracy on the confidence interval of quantile function, and that based on LSMEQFMCC is the most stable and accurate method on the very small samples (10 samples). 展开更多
关键词 Confidence intervals Maximum entropy Quantile function RELIABILITY Scatter factor Small samples
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Control of beam halo-chaos by sample function 被引量:1
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作者 白龙 张荣 +2 位作者 翁甲强 罗晓曙 方锦清 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第6期1226-1230,共5页
The K-V beam through an axisymmetric uniform-focusing channel is studied using the particle-core model. The beam halo-chaos is found, and a sample function controller is proposed based on mechanism of halo formation a... The K-V beam through an axisymmetric uniform-focusing channel is studied using the particle-core model. The beam halo-chaos is found, and a sample function controller is proposed based on mechanism of halo formation and strategy of controlling halo-chaos. We perform multiparticle simulation to control the halo by using the sample function controller. The numerical results show that our control method is effective. We also find that the radial ion density changes when the ion beam is in the channel: not only can the halo-chaos and its regeneration be eliminated by using the sample function control method, but also the density uniformity can be found at the beam's centre as long as an appropriate control method is chosen. 展开更多
关键词 beam halo-chaos sample function radial ion density uniform-focusing channel
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Strong Consistency for the Kernal Estimates of the Random Window Width of the Density Function and its Derivatives Under Φ-Mixing Samples
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作者 樊家琨 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第3期52-56,共5页
In the paper,we study the strong uniform consistency for the kernal estimates of random window w■th of density function and its derivatives under the condition that the sequence{X_n}of the ■ are the identically Φ-m... In the paper,we study the strong uniform consistency for the kernal estimates of random window w■th of density function and its derivatives under the condition that the sequence{X_n}of the ■ are the identically Φ-mixing random variabks. 展开更多
关键词 Φ-mixing sample probability density function random window width kemal estimate strng uniform consistency
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SHANNON SAMPLING AND ESTIMATION OF BAND-LIMITED FUNCTIONS IN THE SEVERAL COMPLEX VARIABLES SETTING 被引量:1
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作者 高洁欣 钱涛 《Acta Mathematica Scientia》 SCIE CSCD 2005年第4期741-754,共14页
In this work the authors develop the n-dimensional sinc function theory in the several complex variables setting. In terms of the corresponding Paley-Wiener theorem the exact sinc interpolation and quadrature are esta... In this work the authors develop the n-dimensional sinc function theory in the several complex variables setting. In terms of the corresponding Paley-Wiener theorem the exact sinc interpolation and quadrature are established. Exponential convergence rate of the error estimates for band-limited functions in n-dimensional strips are obtained. 展开更多
关键词 Shannon sampling sinc function harmonic analysis
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Gyroscope Fault Diagnosis Using Fuzzy SVM to Unbalanced Samples 被引量:1
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作者 罗秋凤 张锐 +1 位作者 李勇 杨忠清 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2015年第1期16-21,共6页
A novel fuzzy support vector machine based on unbalanced samples(FSVM-US)is proposed to solve the high false positive rate problem since the gyroscope output is susceptible to unmanned aerial vehicle(UAV)airborne elec... A novel fuzzy support vector machine based on unbalanced samples(FSVM-US)is proposed to solve the high false positive rate problem since the gyroscope output is susceptible to unmanned aerial vehicle(UAV)airborne electromagnetic environment and the gyroscope abnormal signal sample is rather rare.Firstly,the standard deviation of samples projection to normal vector for SVM classifier hyper plane is analyzed.The imbalance feature expression reflecting the hyper plane shift for the number imbalance between samples and the dispersion imbalance within samples is derived.At the same time,the denoising factor is designed as the exponential decay function based on the Euclidean distance between each sample and the class center.Secondly,the imbalance feature expression and denoising factor are configured into the membership function.Each sample has its own weight denoted the importance to the classifier.Finally,the classification simulation experiments on the gyroscope fault diagnosis system are conducted and FSVM-US is compared with the standard SVM,FSVM,and the four typical class imbalance learning(CIL)methods.The results show that FSVM-US classifier accuracy is 12% higher than that of the standard SVM.Generally,FSVM-US is superior to the four CIL methods in total performance.Moreover,the FSVMUS noise tolerance is also 17% higher than that of the standard SVM. 展开更多
关键词 fault diagnosis GYROSCOPE fuzzy support vector machine(FSVM) unbalanced samples membership function
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Model-data-driven seismic inversion method based on small sample data 被引量:1
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作者 LIU Jinshui SUN Yuhang LIU Yang 《Petroleum Exploration and Development》 CSCD 2022年第5期1046-1055,共10页
As sandstone layers in thin interbedded section are difficult to identify,conventional model-driven seismic inversion and data-driven seismic prediction methods have low precision in predicting them.To solve this prob... As sandstone layers in thin interbedded section are difficult to identify,conventional model-driven seismic inversion and data-driven seismic prediction methods have low precision in predicting them.To solve this problem,a model-data-driven seismic AVO(amplitude variation with offset)inversion method based on a space-variant objective function has been worked out.In this method,zero delay cross-correlation function and F norm are used to establish objective function.Based on inverse distance weighting theory,change of the objective function is controlled according to the location of the target CDP(common depth point),to change the constraint weights of training samples,initial low-frequency models,and seismic data on the inversion.Hence,the proposed method can get high resolution and high-accuracy velocity and density from inversion of small sample data,and is suitable for identifying thin interbedded sand bodies.Tests with thin interbedded geological models show that the proposed method has high inversion accuracy and resolution for small sample data,and can identify sandstone and mudstone layers of about one-30th of the dominant wavelength thick.Tests on the field data of Lishui sag show that the inversion results of the proposed method have small relative error with well-log data,and can identify thin interbedded sandstone layers of about one-15th of the dominant wavelength thick with small sample data. 展开更多
关键词 small sample data space-variant objective function model-data-driven neural network seismic AVO inversion thin interbedded sandstone identification Paleocene Lishui sag
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On a Class of Generalized Sampling Functions
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作者 Yi Wang 《Analysis in Theory and Applications》 2014年第1期82-89,共8页
In this note, we discuss a class of so-called generalized sampling functions. These functions are defined to be the inverse Fourier transform of a family of piecewise constant functions that are either square integrab... In this note, we discuss a class of so-called generalized sampling functions. These functions are defined to be the inverse Fourier transform of a family of piecewise constant functions that are either square integrable or Lebegue integrable on the real number line. They are in fact the generalization of the classic sinc function. Two approaches of constructing the generalized sampling functions are reviewed. Their properties such as cardinality, orthogonality, and decaying properties are discussed. The interactions of those functions and Hilbert transformer are also discussed. 展开更多
关键词 Generalized sampling function sinc function non-bandlimited signal sampling the-orem Hilbert transform.
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Novel Stability Criteria for Sampled-Data Systems With Variable Sampling Periods 被引量:2
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作者 Hanyong Shao Jianrong Zhao Dan Zhang 《IEEE/CAA Journal of Automatica Sinica》 EI CSCD 2020年第1期257-262,共6页
This paper is concerned with a novel Lyapunovlike functional approach to the stability of sampled-data systems with variable sampling periods. The Lyapunov-like functional has four striking characters compared to usua... This paper is concerned with a novel Lyapunovlike functional approach to the stability of sampled-data systems with variable sampling periods. The Lyapunov-like functional has four striking characters compared to usual ones. First, it is time-dependent. Second, it may be discontinuous. Third, not every term of it is required to be positive definite. Fourth, the Lyapunov functional includes not only the state and the sampled state but also the integral of the state. By using a recently reported inequality to estimate the derivative of this Lyapunov functional, a sampled-interval-dependent stability criterion with reduced conservatism is obtained. The stability criterion is further extended to sampled-data systems with polytopic uncertainties. Finally, three examples are given to illustrate the reduced conservatism of the stability criteria. 展开更多
关键词 Lyapunov functional sampled-data systems sampling-interval-dependent stability
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Optimal Bayesian Sampling Plans Based on Hybrid Type-Ⅱ Censored Samples
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作者 CHENG Conghua CHENG Lijuan 《Journal of Donghua University(English Edition)》 EI CAS 2018年第1期58-64,共7页
The Bayesian sampling plans for exponential distributions are studied based on type-Ⅱ hybrid censored samples. The optimal Bayesian sampling plan is derived under a general loss function which includes the sampling c... The Bayesian sampling plans for exponential distributions are studied based on type-Ⅱ hybrid censored samples. The optimal Bayesian sampling plan is derived under a general loss function which includes the sampling cost, time-consuming cost, salvage value,and decision loss. It is employed to determine the Bayes risk and the corresponding optimal sampling plan. An explicit expression of the Bayes risk is derived. Furthermore,for the conjugate prior distribution,the closed-form formula of the Bayes decision rule can be obtained under either the linear or quadratic decision loss. 展开更多
关键词 Bayesian sampling plan Bayes risk decision function loss function hybrid censored sample
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Transfer Function Description of Multirate Sampling Systems
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作者 肖建 唐磊 《Journal of Modern Transportation》 1999年第2期141-147,共7页
Based on the sampler decomposition method and modified Z transform, this paper proposes a pulse transfer function matrix description of the multivariable multirate sampling systems. This multirate sampling system mode... Based on the sampler decomposition method and modified Z transform, this paper proposes a pulse transfer function matrix description of the multivariable multirate sampling systems. This multirate sampling system model has a simple structure, and can be used as a basis for the analysis and synthesis of the multirate sampling systems. 展开更多
关键词 multirate sampling system transfer function computer controlled system
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Frequentist and Bayesian Sample Size Determination for Single-Arm Clinical Trials Based on a Binary Response Variable: A Shiny App to Implement Exact Methods
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作者 Susanna Gentile Valeria Sambucini 《Open Journal of Statistics》 2024年第1期90-105,共16页
Sample size determination typically relies on a power analysis based on a frequentist conditional approach. This latter can be seen as a particular case of the two-priors approach, which allows to build four distinct ... Sample size determination typically relies on a power analysis based on a frequentist conditional approach. This latter can be seen as a particular case of the two-priors approach, which allows to build four distinct power functions to select the optimal sample size. We revise this approach when the focus is on testing a single binomial proportion. We consider exact methods and introduce a conservative criterion to account for the typical non-monotonic behavior of the power functions, when dealing with discrete data. The main purpose of this paper is to present a Shiny App providing a user-friendly, interactive tool to apply these criteria. The app also provides specific tools to elicit the analysis and the design prior distributions, which are the core of the two-priors approach. 展开更多
关键词 Binomial Proportion Frequentist and Bayesian Power functions Exact sample Size Determination Shiny App Two-Priors Approach
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Robust Fuzzy Sampled-Data Control for Dynamic Positioning Ships 被引量:1
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作者 ZHENG Minjie ZHOU Yujie YANG Shenhua 《Journal of Shanghai Jiaotong university(Science)》 EI 2018年第2期209-217,共9页
A robust H∞sampled-data stabilization problem for nonlinear dynamic positioning(DP) ships with Takagi-Sugeno(T-S) fuzzy models is discussed in this paper. Input delay approach is used to convert the sampleddata DP sh... A robust H∞sampled-data stabilization problem for nonlinear dynamic positioning(DP) ships with Takagi-Sugeno(T-S) fuzzy models is discussed in this paper. Input delay approach is used to convert the sampleddata DP ship system to a fuzzy system with time-varying delay. Adequate conditions are derived to determine the system's asymptotical stability and achieve H∞performance via Lyapunov stability theorems. Then, the fuzzy sampled-data controller is obtained by analyzing the stabilization condition. Simulation result shows that the proposed method and the designed controller for a DP ship are effective so that the DP ship can maintain the desired position, heading and velocities in the existence of varying environment disturbances. 展开更多
关键词 dynamic positioning(DP) ships sampled-data control Lyapunov-Krasovskii functional Takagi-Sugeno(T-S) fuzzy models
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Synchronisation of chaotic systems using a novel sampled-data fuzzy controller
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作者 冯毅夫 张庆灵 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第1期33-41,共9页
This paper presents the synchronisation of chaotic systems using a sampled-data fuzzy controller and is meaningful for many physical real-life applications. Firstly, a Takagi-Sugeno (T-S) fuzzy model is employed to ... This paper presents the synchronisation of chaotic systems using a sampled-data fuzzy controller and is meaningful for many physical real-life applications. Firstly, a Takagi-Sugeno (T-S) fuzzy model is employed to represent the chaotic systems that contain some nonlinear terms, then a type of fuzzy sampled-data controller is proposed and an error system formed by the response and drive chaotic system. Secondly, relaxed LMI-based synchronisation conditions are derived by using a new parameter-dependent Lyapunov-Krasovskii functional and relaxed stabilisation techniques for the underlying error system. The derived LMI-based conditions are used to aid the design of a sampled-data fuzzy controller to achieve the synchronisation of chaotic systems. Finally, a numerical example is provided to illustrate the effectiveness of the proposed results. 展开更多
关键词 chaotic systems synchronisation sampled-data systems parameter-dependentLyapunov-Krasovskii functional
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Bayes Prediction of Future Observables from Exponentiated Populations with Fixed and Random Sample Size
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作者 Essam K. AL-Hussaini M. Hussein 《Open Journal of Statistics》 2011年第1期24-32,共9页
Bayesian predictive probability density function is obtained when the underlying pop-ulation distribution is exponentiated and subjective prior is used. The corresponding predictive survival function is then obtained ... Bayesian predictive probability density function is obtained when the underlying pop-ulation distribution is exponentiated and subjective prior is used. The corresponding predictive survival function is then obtained and used in constructing 100(1 – ?)% predictive interval, using one- and two- sample schemes when the size of the future sample is fixed and random. In the random case, the size of the future sample is assumed to follow the truncated Poisson distribution with parameter λ. Special attention is paid to the exponentiated Burr type XII population, from which the data are drawn. Two illustrative examples are given, one of which uses simulated data and the other uses data that represent the breaking strength of 64 single carbon fibers of length 10, found in Lawless [40]. 展开更多
关键词 PREDICTIVE Density And Survival functions One- And Two-sample Schemes BAYES PREDICTION Exponentiated Population. Exponentiated BURR Type XII Distribution Data Of Carbon Fibers
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Nonperiodic interrupted sampling repeater jamming suppression for inverse synthetic aperture radar
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作者 WU Qihua ZHAO Feng +3 位作者 ZHAO Tiehua LIU Xiaobin XU Zhiming XIAO Shunping 《Journal of Systems Engineering and Electronics》 2025年第4期940-950,共11页
Nonperiodic interrupted sampling repeater jamming(ISRJ)against inverse synthetic aperture radar(ISAR)can obtain two-dimensional blanket jamming performance by joint fast and slow time domain interrupted modulation,whi... Nonperiodic interrupted sampling repeater jamming(ISRJ)against inverse synthetic aperture radar(ISAR)can obtain two-dimensional blanket jamming performance by joint fast and slow time domain interrupted modulation,which is obviously dif-ferent from the conventional multi-false-target deception jam-ming.In this paper,a suppression method against this kind of novel jamming is proposed based on inter-pulse energy function and compressed sensing theory.By utilizing the discontinuous property of the jamming in slow time domain,the unjammed pulse is separated using the intra-pulse energy function diffe-rence.Based on this,the two-dimensional orthogonal matching pursuit(2D-OMP)algorithm is proposed.Further,it is proposed to reconstruct the ISAR image with the obtained unjammed pulse sequence.The validity of the proposed method is demon-strated via the Yake-42 plane data simulations. 展开更多
关键词 jamming suppression compressed sensing(CS) interrupted sampling repeater jamming(ISRJ) energy function inverse synthetic aperture radar(ISAR).
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面向耐撞性的电池箱体多目标优化策略
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作者 陆建康 许正典 +2 位作者 王敏 辛佳琦 朱珠 《机电工程》 北大核心 2026年第1期185-193,206,共10页
电池箱体的轻量化设计对于提升电动汽车的续航能力和安全性能至关重要。针对电池箱体的质量与耐撞性的优化问题,提出了一种高效的电池箱体多目标优化策略。首先,建立了电池箱体有限元模型,并通过模态分析与压溃仿真对其可靠性进行了验证... 电池箱体的轻量化设计对于提升电动汽车的续航能力和安全性能至关重要。针对电池箱体的质量与耐撞性的优化问题,提出了一种高效的电池箱体多目标优化策略。首先,建立了电池箱体有限元模型,并通过模态分析与压溃仿真对其可靠性进行了验证;然后,以各部件厚度为优化变量,采用最优拉丁超立方抽样(OLHS)生成了样本数据,利用决定系数(R 2)和最大绝对误差(e max)指标对响应面模型(RSM)、克里金模型(Kriging)以及径向基函数模型(RBF)进行了拟合精度对比,最终选取了RSM作为后续优化的代理模型;采用NSGA-II求解了代理模型,获得了帕累托前沿解集;最后,利用熵权法客观确定了各目标权重,并结合改进的逼近理想解排序法(TOPSIS)对帕累托解集进行了综合排序,筛选出了最佳折衷优化方案。研究结果表明:与初始设计相比,优化后部件总质量减少28.21%,在确保结构强度和安全性的同时获得了显著的轻量化效果。该设计方法为电池箱体的结构优化提供了一种有效的方法,具有工程实践参考意义。 展开更多
关键词 电池箱体 耐撞性 轻量化设计 最优拉丁超立方抽样 响应面模型 克里金模型 径向基函数模型 逼近理想解排序法 熵权法
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Sequential RBF Surrogate-based Efficient Optimization Method for Engineering Design Problems with Expensive Black-Box Functions 被引量:6
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作者 PENG Lei LIU Li +1 位作者 LONG Teng GUO Xiaosong 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2014年第6期1099-1111,共13页
As a promising technique, surrogate-based design and optimization(SBDO) has been widely used in modern engineering design optimizations. Currently, static surrogate-based optimization methods have been successfully ... As a promising technique, surrogate-based design and optimization(SBDO) has been widely used in modern engineering design optimizations. Currently, static surrogate-based optimization methods have been successfully applied to expensive optimization problems. However, due to the low efficiency and poor flexibility, static surrogate-based optimization methods are difficult to efficiently solve practical engineering cases. At the aim of enhancing efficiency, a novel surrogate-based efficient optimization method is developed by using sequential radial basis function(SEO-SRBF). Moreover, augmented Lagrangian multiplier method is adopted to solve the problems involving expensive constraints. In order to study the performance of SEO-SRBF, several numerical benchmark functions and engineering problems are solved by SEO-SRBF and other well-known surrogate-based optimization methods including EGO, MPS, and IARSM. The optimal solutions, number of function evaluations, and algorithm execution time are recorded for comparison. The comparison results demonstrate that SEO-SRBF shows satisfactory performance in both optimization efficiency and global convergence capability. The CPU time required for running SEO-SRBF is dramatically less than that of other algorithms. In the torque arm optimization case using FEA simulation, SEO-SRBF further reduces 21% of thematerial volume compared with the solution from static-RBF subject to the stress constraint. This study provides the efficient strategy to solve expensive constrained optimization problems. 展开更多
关键词 surrogate-based optimization global optimization significant sampling space adaptive surrogate radial basis function
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Particle filter with importance density function generated by updated system equation 被引量:3
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作者 左军毅 贾颖娜 +1 位作者 张炜 高全学 《Journal of Central South University》 SCIE EI CAS 2013年第10期2700-2707,共8页
The current measurement was exploited in a more efficient way. Firstly, the system equation was updated by introducing a correction term, which depends on the current measurement and can be obtained by running a subop... The current measurement was exploited in a more efficient way. Firstly, the system equation was updated by introducing a correction term, which depends on the current measurement and can be obtained by running a suboptimal filter. Then, a new importance density function(IDF) was defined by the updated system equation. Particles drawn from the new IDF are more likely to be in the significant region of state space and the estimation accuracy can be improved. By using different suboptimal filter, different particle filters(PFs) can be developed in this framework. Extensions of this idea were also proposed by iteratively updating the system equation using particle filter itself, resulting in the iterated particle filter. Simulation results demonstrate the effectiveness of the proposed IDF. 展开更多
关键词 IMPORTANCE density function nonlinear dynamic systems SEQUENCE IMPORTANCE sampling particle filter MONTE Carlo STEP
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Calculation of Scale of Fluctuation and Variance Reduction Function 被引量:2
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作者 闫澍旺 郭林坪 《Transactions of Tianjin University》 EI CAS 2015年第1期41-49,共9页
The scale of fluctuation is one of the vital parameters for the application of random field theory to the reliability analysis of geotechnical engineering. In the present study, the fluctuation function method and wei... The scale of fluctuation is one of the vital parameters for the application of random field theory to the reliability analysis of geotechnical engineering. In the present study, the fluctuation function method and weighted curve fitting method were presented to make the calculation more simple and accurate. The vertical scales of fluctuation of typical layers of Tianjin Port were calculated based on a number of engineering geotechnical investigation data, which can be guidance to other projects in this area. Meanwhile, the influences of sample interval and type of soil index on the scale of fluctuation were analyzed, according to which, the principle of determining the scale of fluctuation when the sample interval changes was defined. It can be obtained that the scale of fluctuation is the basic attribute reflecting spatial variability of soil, therefore, the scales of fluctuation calculated according to different soil indexes should be basically the same. The non-correlation distance method was improved, and the principle of determining the variance reduction function was also discussed. 展开更多
关键词 random field scale of fluctuation correlation function sample distance sample interval variance reduction function
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