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Non-Existence of the First Moment of the Adjusted Least Squares Estimator in Multivariate Errors-in-Variables Model

Metrika, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Chi-Lun, Kukush, Alexander
openaire   +1 more source

Consistent estimator in multivariate errors-in-variables model in the case of unknown error covariance structure

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
openaire   +1 more source

On Consistent Estimators in Linear and Bilinear Multivariate Errors-In-Variables Models

2002
We consider three multivariate regression models related to the TLS problem. The errors are allowed to have unequal variances.
Alexander Kukush   +2 more
openaire   +1 more source

Integer-Coded Genetic Algorithm for Trimmed Estimator of Multivariate Linear Errors in Variables Model

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
openaire   +1 more source

Consistency of elementwise-weighted total least squares estimator in a multivariate errors-in-variables model AX=B

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
openaire   +2 more sources

A googness of-fit-test for a multivariate errors-in-variables model

2009
A multivariate errors-in-variables model AX ??? B is considered, where the data matrices A and B are observed with errors, and a matrix parameter X is to be estimated. A goodness-of-???t test which is based on the moment estimator is constructed. The proposed test is asymptotically chi-squared under null hypothesis. The power of the test is discussed.
Kukush, A., Polekha, M.
openaire   +1 more source

Maximum likelihood estimation in a multivariate ‘errors in variables’ regression model with unknown error covariance matrix

Communications in Statistics - Theory and Methods, 1977
Two multivariate ‘errors in variables’ regression models are considered which generalize a model proposed by Gleser and Watson by allowing the errors of measurement e and f in the independent and dependent vector variables X and Y, respectively, to have common unknown covariance matrix Σ, rather than Σ = σ2I, as assumed by Gleser and Watson.
openaire   +1 more source

Combining the Frisch scheme and Yule-Walker equations for identifying multivariable errors-in-variables models

2010
Errors–in–Variables (EIV) models, i.e. models whose stochastic environment considers measurement errors on both inputs and outputs are intrinsically more realistic than representations assuming an exact knowledge of the input but are also more difficult to estimate.
DIVERSI, ROBERTO, GUIDORZI, ROBERTO
openaire   +1 more source

Freeform surface topography model for ultraprecision turning under the influence of various errors

Journal of Manufacturing Processes, 2021
Tielin Shi, Qi Xia, Jianping Xuan
exaly  

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