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Bayesian Analysis of a Multivariate Null Intercept Errors-in-Variables Regression Model
Journal of Biopharmaceutical Statistics, 2003Longitudinal data are of great interest in analysis of clinical trials. In many practical situations the covariate can not be measured precisely and a natural alternative model is the errors-in-variables regression models. In this paper we study a null intercept errors-in-variables regression model with a structure of dependency between the response ...
Reiko, Aoki +3 more
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Subspace-based methods for the identification of multivariable dynamic errors-in-variables models
Proceedings of 35th IEEE Conference on Decision and Control, 2002This paper analyses a multivariable errors-in-variables problem under rather general noise assumptions. Apart from the fact that both the measured input and output are corrupted by additive white noise, the output is also contaminated by a term which is caused by a white input process noise.
C.T. Chou, M.H. Verhaegen
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Identifiability in Multivariate Dynamic Linear Errors-in-Variables Models
Journal of the American Statistical Association, 1992Abstract This article considers multivariate causal transfer function systems with latent stationary inputs and outputs. Their observation is assumed to be disturbed by errors in variables (EV). The main identification results for such models so far consist of structure theory.
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Closed-loop subspace identification of multivariable dynamic errors-in-variables models based on ORT
Cluster Computing, 2018In terms of the model of errors-in-variables, this article analyses the causes of deviation based on the existing method of subspace identification in the closed-loop system; then, it puts forward another method of subspace identification with an auxiliary variable based on orthogonal decomposition.
Minghong She, Baocang Ding
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The identification of multivariate linear dynamic errors-in-variables models
Journal of Econometrics, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Metrika, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Chi-Lun, Kukush, Alexander
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Chi-Lun, Kukush, Alexander
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Ukrainian Mathematical Journal, 2007
We consider a linear multivariate errors-in-variables model AX ≈ B, where the matrices A and B are observed with errors and the matrix parameter X is to be estimated. In the case of lack of information about the error covariance structure, we propose an estimator that converges in probability to X as the number of rows in A tends to infinity ...
O. H. Kukush, M. Ya. Polekha
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We consider a linear multivariate errors-in-variables model AX ≈ B, where the matrices A and B are observed with errors and the matrix parameter X is to be estimated. In the case of lack of information about the error covariance structure, we propose an estimator that converges in probability to X as the number of rows in A tends to infinity ...
O. H. Kukush, M. Ya. Polekha
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Advanced Materials Research, 2012
The multivariate linear errors-in-variables (EIV) model is frequently used in computer vision for model fitting tasks. As well known, when sample data is contaminated by large numbers of awkwardly placed outliers, the least squares estimator isn’t robust.
Hui Rong Cao, Fu Chang Wang
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The multivariate linear errors-in-variables (EIV) model is frequently used in computer vision for model fitting tasks. As well known, when sample data is contaminated by large numbers of awkwardly placed outliers, the least squares estimator isn’t robust.
Hui Rong Cao, Fu Chang Wang
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Metrika, 2004
For a multivariate measurement error model, the authors consider the elementwise weighted total least squares (TLS) estimator. This problem covers the whole class of problems in which the errors in each element are proportional to its size and is therefore an important extension of the class of TLS problems studied so far.
Kukush, Alexander, Van Huffel, Sabine
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For a multivariate measurement error model, the authors consider the elementwise weighted total least squares (TLS) estimator. This problem covers the whole class of problems in which the errors in each element are proportional to its size and is therefore an important extension of the class of TLS problems studied so far.
Kukush, Alexander, Van Huffel, Sabine
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On Consistent Estimators in Linear and Bilinear Multivariate Errors-In-Variables Models
2002We consider three multivariate regression models related to the TLS problem. The errors are allowed to have unequal variances.
Alexander Kukush +2 more
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