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EMPIRICAL LIKELIHOOD CONFIDENCE REGION FOR PARAMETERS IN LINEAR ERRORS-IN-VARIABLES MODELS WITH MISSING DATA 被引量:3
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作者 Juan ZHANG Hengjian CUI 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2011年第3期540-553,共14页
The multivariate linear errors-in-variables model when the regressors are missing at random in the sense of Rubin (1976) is considered in this paper. A constrained empirical likelihood confidence region for a parame... The multivariate linear errors-in-variables model when the regressors are missing at random in the sense of Rubin (1976) is considered in this paper. A constrained empirical likelihood confidence region for a parameter β0 in this model is proposed, which is constructed by combining the score function corresponding to the weighted squared orthogonal distance based on inverse probability with a constrained region of β0. It is shown that the empirical log-likelihood ratio at the true parameter converges to the standard chi-square distribution. Simulations show that the coverage rate of the proposed confidence region is closer to the nominal level and the length of confidence interval is narrower than those of the normal approximation of inverse probability weighted adjusted least square estimator in most cases. A real example is studied and the result supports the theory and simulation's conclusion. 展开更多
关键词 Confidence region coverage rate empirical likelihood ratio multivariate linear errors-in- variables model weighted adjusted ls estimation.
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Asymptotic Normality of LS Estimate in Simple Linear EV Regression Model 被引量:1
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作者 Jixue LIU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2006年第6期675-682,共8页
Though EV model is theoretically more appropriate for applications in which measurement errors exist, people are still more inclined to use the ordinary regression models and the traditional LS method owing to the dif... Though EV model is theoretically more appropriate for applications in which measurement errors exist, people are still more inclined to use the ordinary regression models and the traditional LS method owing to the difficulties of statistical inference and computation. So it is meaningful to study the performance of LS estimate in EV model. In this article we obtain general conditions guaranteeing the asymptotic normality of the estimates of regression coefficients in the linear EV model. It is noticeable that the result is in some way different from the corresponding result in the ordinary regression model. 展开更多
关键词 EV model ls estimate Asymptotic normality
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A NOTE ON THE CONSISTENCY OF LS ESTIMATES IN LINEAR MODELS
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作者 CHEN XIRU The Graduate School at Beijing, University of Science and Technology of China, Beijing 100039, China. 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2001年第4期471-474,共4页
It is well known that when the random errors are iid. with finite variance, the week and the strong consiStency of LS estimate of multiple regression coefficients are equivalent. This note, by constructing a counter-e... It is well known that when the random errors are iid. with finite variance, the week and the strong consiStency of LS estimate of multiple regression coefficients are equivalent. This note, by constructing a counter-example, shows that this equivalence no longer holds true in case that the random errors possess only the r-th moment with 1≤5 T < 2. 展开更多
关键词 Linear regression model CONSISTENCY ls estimate
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SOME REMARKS CONCERNING THECONSISTENCY OF LS AND LAD ESTIMATESOF MULTIPLE REGRESSION
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作者 陈希孺 金明仲 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1998年第2期121-128,共7页
Let Yi=x'iβo+ei. 1≤i≤n, n≥1 be a linear regression model. Denote by βn the M-estimateof βo, using a convex function ρ. In [1], a basic theorem (Theorem A below) concerning the weakconsistency of βn. is est... Let Yi=x'iβo+ei. 1≤i≤n, n≥1 be a linear regression model. Denote by βn the M-estimateof βo, using a convex function ρ. In [1], a basic theorem (Theorem A below) concerning the weakconsistency of βn. is established. This theorem raises further questions concerning the consistencyof βn. In this note, some of these questions are considered for the special cases of LAD and LSestimates. 展开更多
关键词 Linear regression model CONSISTENCY ls estimate LAD estimate
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Aircraft Flutter Modal Parameter Identification Using a Numerically Robust Least-squares Estimator in Frequency Domain 被引量:5
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作者 Tang Wei Shi Zhongke Chen Jie 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2008年第6期550-558,共9页
Recently, frequency-based least-squares (LS) estimators have found wide application in identifying aircraft flutter parameters. However, the frequency methods are often known to suffer from numerical difficulties wh... Recently, frequency-based least-squares (LS) estimators have found wide application in identifying aircraft flutter parameters. However, the frequency methods are often known to suffer from numerical difficulties when identifying a continuous-time model, especially, of broader frequency or higher order. In this article, a numerically robust LS estimator based on vector orthogonal polynomial is proposed to solve the numerical problem of multivariable systems and applied to the flutter testing. The key idea of this method is to represent the frequency response function (FRF) matrix by a right matrix fraction description (RMFD) model, and expand the numerator and denominator polynomial matrices on a vector orthogonal basis. As a result, a perfect numerical condition (numerical condition equals 1) can be obtained for linear LS estimator. Finally, this method is verified by flutter test of a wing model in a wind tunnel and real flight flutter test of an aircraft. The results are compared to those with notably LMS PolyMAX, which is not troubled by the numerical problem as it is established in z domain (e.g. derived from a discrete-time model). The verification has evidenced that this method, apart from overcoming the numerical problem, yields the results comparable to those acquired with LMS PolyMAX, or even considerably better at some frequency bands. 展开更多
关键词 FLUTTER modal parameter parameter identification ls estimator numerically robust ILL-CONDITIONED
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