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A robust weighted total least squares algorithm and its geodetic applications

Studia Geophysica et Geodaetica, 2015
Total least squares (TLS) can solve the issue of parameter estimation in the errors-invariables (EIV) model, however, the estimated parameters are affected or even severely distorted when the observation vector and coefficient matrix are contaminated by gross errors.
Bin Wang, Jiancheng Li, Chao Liu
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Bias-Corrected Weighted Total Least-Squares Adjustment of Condition Equations

Journal of Surveying Engineering, 2015
AbstractThe total least-squares (TLS) method and its variations have recently received increasing research attention. However, little attention has been given to the weighted TLS adjustment method with condition equations. In this paper, a weighted TLS method designed for condition equations (WTLSC) is presented with the assumption that both the ...
Xiaohua Tong   +4 more
openaire   +1 more source

A weighted total least squares estimator for multivariable systems with nearly maximum likelihood properties

IEEE Transactions on Instrumentation and Measurement, 1998
The aim of the present paper is to develop a parametric estimator for linear time-invariant multivariable systems with nearly maximum likelihood properties. The estimator is based on the total least squares (TLS) method. It can be seen as an "optimally" weighted iterative generalized total least squares (GTLS) estimator, combining the nice asymptotic ...
Patrick Guillaume   +2 more
openaire   +4 more sources

On non-combinatorial weighted total least squares with inequality constraints

Journal of Geodesy, 2014
Observation systems known as errors-in-variables (EIV) models with model parameters estimated by total least squares (TLS) have been discussed for more than a century, though the terms EIV and TLS were coined much more recently. So far, it has only been shown that the inequality-constrained TLS (ICTLS) solution can be obtained by the combinatorial ...
openaire   +1 more source

Parameter-weighed performance in total least squares lterativ solutions

Mathematical Modelling of Systems, 1995
The parameter-weighted square of the error matrix E is used as a basis for total least squares optimization, i.e., is utilized either instead of or in supplementation to it. the multiplicity of the solution and computational aspects are presented in concise form, in comparison to the conventional methods of total least sqrares, model least squares and ...
openaire   +1 more source

Recursive approximate weighted total least squares estimation of battery cell total capacity

Journal of Power Sources, 2011
Abstract Battery cell total capacity refers to the total amount of charge that can be extracted from a fully charged cell. Knowledge of the present total capacity value is important to being able to calculate the maximum energy storage capability of a battery pack, the remaining energy in a battery pack, and as an indicator of the battery’s state of ...
openaire   +1 more source

Weighted Constrained Total Least Squares for Bearing-Only Target Localization

Advanced Materials Research, 2012
Paper has been removed due to suspected plagiarism.
openaire   +1 more source

Weighted Total Least Squares, Rank Deficiency and Linear Matrix Structures

2002
In this contribution we explain how the rank deficiency of a given data matrix, its linear matrix structure and its interpretation in terms of discrete-time dynamical systems, are intimately connected. This relation permits to formulate least squares dynamical system identification problems, the solution of which leads to structured total least squares.
openaire   +1 more source

Neither fixed nor random: weighted least squares meta‐analysis

Statistics in Medicine, 2015
T D Stanley, Hrístos Doucouliagos
exaly  

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