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Testing for Error Correlation in Semi-Functional Linear Models
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作者 YANG Bin CHEN Min ZHOU Jianjun 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2023年第4期1697-1716,共20页
Existing methods for analyzing semi-functional linear models usually assumed that random errors are not serially correlated or serially correlated with the known order.However,in some applications,these assumptions on... Existing methods for analyzing semi-functional linear models usually assumed that random errors are not serially correlated or serially correlated with the known order.However,in some applications,these assumptions on random errors may be unreasonable or questionable.To this end,this paper aims at testing error correlation in a semi-functional linear model(SFLM).Based on the empirical likelihood approach,the authors construct an empirical likelihood ratio statistic to test the serial correlation of random errors and identify the order of autocorrelation if the serial correlation holds.The proposed test statistic does not need to estimate the variance as it is data adaptive and possesses the nonparametric version of Wilks'theorem.Simulation studies are conducted to investigate the performance of the proposed test procedure.Two real examples are illustrated by the proposed test method. 展开更多
关键词 Empirical likelihood error correlation functional principal component analysis semifunctional linear model spline estimation Wilks'theorem
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Influence of correlation scale errors on aquifer hydraulic conductivity inversion precision 被引量:1
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作者 Yun-xiao Mu Lei Zhu +2 位作者 Tong-qing Shen Meng Zhang Yuan-yuan Zha 《Water Science and Engineering》 EI CAS CSCD 2020年第3期243-252,共10页
In order to investigate the influence of correlation scale error on the inversion precision of the hydraulic conductivity of the aquifer,the successive linear estimator(SLE)was used to invert the hydraulic conductivit... In order to investigate the influence of correlation scale error on the inversion precision of the hydraulic conductivity of the aquifer,the successive linear estimator(SLE)was used to invert the hydraulic conductivity field of a heterogeneous aquifer based on synthetic experiments.By increasing the numbers of observation wells and pumping tests,we analyzed the difference between the estimated and true values of hydraulic conductivity with different correlation scale errors.The relationships between the observation well number and the error in inversion results,and between the pumping test number and the error in inversion results were investigated.The results show that,if the amount of observed head data is insufficient,there will be errors in inversion results with changing correlation scale.Due to the existence of correlation scale error,the improvement of inversion precision gradually slows down with the increase of the amount of observed head data,which indicates that too much observed head data causes data redundancy.Therefore,for the synthetic experiments described in this paper,the observation well number should be less than 41,the pumping test number should be less than 17,and a more suitable method should be selected according to the precision requirements of specific situations in practical engineering. 展开更多
关键词 Hydraulic conductivity Parameter inversion Successive linear estimator correlation scale error Observation well number Pumping test number
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Time Series Correlated Error's Simulation Scheme with the Application to Simulate the Ephemerides Error of CHAMP
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作者 SHEN Yun zhong 1 , HSU Hou tse 2 (1. Department of Surveying and Geo informatics,Tongji University,Shanghai 200092,China 2. Institute of Geodesy and Geophysics, CAS, Wuhan 430077,China) 《测绘学报》 EI CSCD 北大核心 2002年第z1期27-30,共4页
Computer simulation experiment is very important in the phase of project design, the availability of simulated result highly depends on the scheme of error simulation. Time series observations are normally correlated.... Computer simulation experiment is very important in the phase of project design, the availability of simulated result highly depends on the scheme of error simulation. Time series observations are normally correlated. This paper first discusses the formula of correlated error propagation, then derives the formula of simulating time series correlated errors. This formula is then used to simulate correlated ephemerides errors of CHAMP, then the ephemerides are used to recover the gravity vector at satellite altitude with finite differential formula. The formulae derived in this paper are verified with the difference between the recovered gravity vectors and the `true values’ which are directly computed with the same gravity model as that generating the ephemerides. 展开更多
关键词 time series observation simulation of correlated errors CHAMP ephemerides
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Multi-dimensional and complicated electromagnetic interference hardware-in-the-loop simulation method 被引量:2
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作者 Shuxia Guo Yafeng Wang +1 位作者 Ruibing Liu Ying Gao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2015年第6期1142-1148,共7页
A typical electronic communication system, such as GPS receiver, unmanned aerial vehicle's (UAV's) data link, and radar, faces multi-dimensional and complicated electromagnetic interference in operating environmen... A typical electronic communication system, such as GPS receiver, unmanned aerial vehicle's (UAV's) data link, and radar, faces multi-dimensional and complicated electromagnetic interference in operating environment. To measure the anti- interference performance of the electronic communication system in the complicated electromagnetic interference environment, a method of multi-dimensional and complicated electromagnetic interference hardware-in-the-loop simulation in an anechoic room is proposed. It takes into account the characteristics of interference signals and the positional relationship among interference, the receiver and the transmitter of the electronic communication system. It uses the grey relational method and the angular domain mapping error correction method to control the relevant parameters, the microwave switch and so on, thus achieving the approximately actual mapping of the outdoor multi-dimensional and complicated electromagnetic interference in the anechoic room. To verify the effectiveness of this method, the multi-dimensional and complicated electromagnetic interference of the UAV's data link is simulated as an example. The results show that the degree of correlation between the calculated signal to interference ratio of the data link receiver in the actual scene and the measured signal to interference ratio of the data link receiver simulated with this method in the anechoic room is 0.968 1, proving that the method is effective for simulating the complicated electromagnetic interference. 展开更多
关键词 electromagnetic interference hardware-in-the-loopsimulation grey relational method scene mapping correlation error correction.
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CLT OF WAVELET ESTIMATOR IN SEMIPARAMETRIC MODEL WITH CORRELATED ERRORS 被引量:3
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作者 Sili NIU Yamei LIU 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2012年第3期567-581,共15页
This paper considers the semiparametric regression model Yi = xiβ+g(ti)+ Vi (1 ≤ i≤ n), where (xi, ti) are known design points, fl is an unknown slope parameter, g(.) is an unknown function, the correlate... This paper considers the semiparametric regression model Yi = xiβ+g(ti)+ Vi (1 ≤ i≤ n), where (xi, ti) are known design points, fl is an unknown slope parameter, g(.) is an unknown function, the correlated errors Vi = ∑^∞j=-∞cjei-j with ∑^∞j=-∞|cj| 〈 ∞, and ei are negatively associated random variables. Under appropriate conditions, the authors study the asymptotic normality for wavelet estimators ofβ and g(·). A simulation study is undertaken to investigate finite sample behavior of the estimators. 展开更多
关键词 Asymptotic normality correlated error negatively associated semiparametric model wavelet estimator.
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Self-consistent tomography of temporally correlated errors
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作者 Mingxia Huo Ying Li 《Communications in Theoretical Physics》 SCIE CAS CSCD 2021年第7期59-74,共16页
The error model of a quantum computer is essential for optimizing quantum algorithms to minimize the impact of errors using quantum error correction or error mitigation.Noise with temporal correlations,e.g.low-frequen... The error model of a quantum computer is essential for optimizing quantum algorithms to minimize the impact of errors using quantum error correction or error mitigation.Noise with temporal correlations,e.g.low-frequency noise and context-dependent noise,is common in quantum computation devices and sometimes even significant.However,conventional tomography methods have not been developed for obtaining an error model describing temporal correlations.In this paper,we propose self-consistent tomography protocols to obtain a model of temporally correlated errors,and we demonstrate that our protocols are efficient for low-frequency noise and context-dependent noise. 展开更多
关键词 self-consistent tomography temporally correlated errors quantum computer
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Uniform Convergence Rate of Estimators of Autocovariances in Partly Linear Regression Models with Correlated Errors
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作者 Jin-hongYou GemaiChen +1 位作者 MinChen ue-leiJiang 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2003年第3期363-370,共8页
Consider the partly linear regression model , where y <SUB>i </SUB>’s are responses, are known and nonrandom design points, is a compact set in the real line , &#946; = (&#946; <SUB>1<... Consider the partly linear regression model , where y <SUB>i </SUB>’s are responses, are known and nonrandom design points, is a compact set in the real line , &#946; = (&#946; <SUB>1</SUB>, ··· , &#946; <SUB>p </SUB>)' is an unknown parameter vector, g(·) is an unknown function and {&#949; <SUB>i </SUB>} is a linear process, i.e., , where e <SUB>j </SUB>are i.i.d. random variables with zero mean and variance . Drawing upon B-spline estimation of g(·) and least squares estimation of &#946;, we construct estimators of the autocovariances of {&#949; <SUB>i </SUB>}. The uniform strong convergence rate of these estimators to their true values is then established. These results not only are a compensation for those of [23], but also have some application in modeling error structure. When the errors {&#949; <SUB>i </SUB>} are an ARMA process, our result can be used to develop a consistent procedure for determining the order of the ARMA process and identifying the non-zero coeffcients of the process. Moreover, our result can be used to construct the asymptotically effcient estimators for parameters in the ARMA error process. 展开更多
关键词 Uniform strong convergence rate autocovariance and autocorrelation B-spline estimation correlated error partly linear regression model
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Development of a first order integrated moving average model corrupted with a Markov modulated convex combination of autoregressive moving average errors
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作者 S.A.Komolafe T.O.Obilade +1 位作者 I.O.Ayodeji A.R.Babalola 《Statistical Theory and Related Fields》 2019年第1期48-58,共11页
With a view to providing a tool to accurately model time series processes which may be corrupted with errors such as measurement,round-off and data aggregation,this study developedan integrated moving average(IMA)mode... With a view to providing a tool to accurately model time series processes which may be corrupted with errors such as measurement,round-off and data aggregation,this study developedan integrated moving average(IMA)model with a transition matrix for the errors resulting ina convex combination of two ARMA errors.Datasets on interest rates in the United States andNigeria were used to demonstrate the application of the formulated model.Basic tools such asthe autocovariance function,maximum likelihood method,Newton–Raphson iterative methodand Kolmogorov–Smirnov test statistic were employed to examine and fit the formulated specification to data.Test results showed that the proposed model provided a generalisation and amore flexible specification than the existing models of AR error and ARMA error in fitting timeseries processes in the presence of errors. 展开更多
关键词 Structural relationship measurement error correlated errors autocovariance function
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Assimilation of ASCAT Sea Surface Wind Retrievals with Correlated Observation Errors
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作者 Boheng DUAN Weimin ZHANG +1 位作者 Xiaofeng YANG Mengbin ZHU 《Journal of Meteorological Research》 SCIE CSCD 2021年第3期478-489,共12页
Data assimilation systems usually assume that the observation errors of wind components, i.e., u(the longitudinal component) and v(the latitudinal component), are uncorrelated. However, since wind components are deriv... Data assimilation systems usually assume that the observation errors of wind components, i.e., u(the longitudinal component) and v(the latitudinal component), are uncorrelated. However, since wind components are derived from observations in the form of wind speed and direction(spd and dir), the observation errors of u and v are correlated. In this paper, an explicit expression of the observation errors and correlation for each pair of wind components are derived based on the law of error propagation. The new data assimilation scheme considering the correlated error of wind components is implemented in the Weather Research and Forecasting Data Assimilation(WRFDA) system. Besides, adaptive quality control(QC) is introduced to retain the information of high wind-speed observations. Results from real data experiments assimilating the Advanced Scatterometer(ASCAT) sea surface winds suggest that analyses from the new data assimilation scheme are more reasonable compared to those from the conventional one, and could improve the forecasting of Typhoon Noru. 展开更多
关键词 data assimilation Advanced Scatterometer(ASCAT) wind components correlated observation error
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STOCHASTIC APPROXIMATION UNDER CORRELATED MEASUREMENT ERRORS
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作者 陈翰馥 《Science China Mathematics》 SCIE 1983年第5期536-548,共13页
In this paper the Kiefer-Wolfowitz (KW) procedure for searching the extremum of the regression function as well as the Robbins-Monro (RM) procedure for solving the regression equation are modified in order that they c... In this paper the Kiefer-Wolfowitz (KW) procedure for searching the extremum of the regression function as well as the Robbins-Monro (RM) procedure for solving the regression equation are modified in order that they can be applied to the case when the measurement errors form an ARMA process. Simple conditions are given to guarantee their convergence to the extremum and the root of regression function respectively by using a new approach combining both the probabilistic method and the ordinary differential equation (ODE) method. The results given here are better than the well-known ones even if the measurement error is the martingale difference sequence. 展开更多
关键词 ARMA STOCHASTIC APPROXIMATION UNDER CORRELATED MEASUREMENT errorS
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Jackknifed Liu Estimator in Linear Regression Models
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作者 HU Hongchang XIA Yuhe 《Wuhan University Journal of Natural Sciences》 CAS 2013年第4期331-336,共6页
In this paper, we introduce a generalized Liu estimator and jackknifed Liu estimator in a linear regression model with correlated or heteroscedastic errors. Therefore, we extend the Liu estimator. Under the mean squar... In this paper, we introduce a generalized Liu estimator and jackknifed Liu estimator in a linear regression model with correlated or heteroscedastic errors. Therefore, we extend the Liu estimator. Under the mean square error(MSE), the jackknifed estimator is superior to the Liu estimator and the jackknifed ridge estimator. We also give a method to select the biasing parameter for d. Furthermore, a numerical example is given to illustvate these theoretical results. 展开更多
关键词 linear regression model correlated or heteroscedastic errors generalized Liu estimator jackknifed Liu estimator mean square error
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