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The Equality of the Ordinary Least Squares Estimator and the Best Linear Unbiased Estimator

The American Statistician, 1989
Abstract It is well known that the ordinary least squares estimator of Xβ in the general linear model E y = Xβ, cov y = σ2 V, can be the best linear unbiased estimator even if V is not a multiple of the identity matrix. This article presents, in a historical perspective, the development of the several conditions for the ordinary least squares estimator
Simo Puntanen, George P. H. Styan
exaly   +5 more sources

On the dominance of Mallows model averaging estimator over ordinary least squares estimator

Economics Letters, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Xinyu   +2 more
openaire   +3 more sources

The bias of the ordinary least squares estimator in simultaneous equation models

Economics Letters, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kiviet, Jan F., Phillips, Garry D. A.
exaly   +6 more sources

A minimum matrix valued risk estimator combining restricted and ordinary least squares estimators

Communications in Statistics - Theory and Methods, 2021
In this article, attention is focused on the convex combination estimator, β¯=Aβ+(I−A)βR. We have proved that the matrix valued risk of the new convex matrix estimator cannot exceed the individua...
Buatikan Mirezi   +2 more
openaire   +1 more source

Frequency and Phase-Angle Estimation Using Ordinary Least Squares

IEEE Transactions on Industrial Electronics, 2015
The extensive use of grid-connected power electronics converters in the most different conditions, e.g., grid voltage quality, power level and grid codes, requires a robust synchronization method in order to properly feed other converter controllers with reliable and exact information, namely the phase-angle and the magnitude of the grid voltage.
Carlos Joao Ramos   +2 more
openaire   +1 more source

Discriminating Between Ordinary Least Squares Estimation Method and Some Robust Estimation Regression Methods

International Journal of Computational and Applied Mathematics & Computer Science, 2023
The lack of certain assumptions is common in ordinary least squares regression models whenever there is/are outliers and high leverage in the observations with an extreme value on a predictor variable. This could have a great effect on the estimate of regression coefficients.
Badmus Nofiu Idowu   +1 more
openaire   +1 more source

Ordinary and weighted least-squares estimators

Canadian Journal of Statistics, 1990
Summary: We propose a method of estimating the asymptotic relative efficiency (ARE) of the weighted least-squares estimator (WLSE) with respect to the ordinary least-squares estimator (OLSE) in a heteroscedastic linear regression model with a large number of observations but a small number of replicates at each value of the regressors. The weights used
openaire   +1 more source

Tree Fitting: Topological Recognition from Ordinary Least-Squares Edge Length Estimates

Journal of Classification, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Desper, Richard, Vingron, Martin
openaire   +1 more source

Parameter estimation of a DC motor using ordinary least squares and recursive least squares algorithms

Proceedings of the 8th International Conference on Frontiers of Information Technology, 2010
This paper gives an insight into the working and efficiency of the two basic algorithms used for parameter estimation: Ordinary Least Squares (OLS) and Recursive Least Squares (RLS). A simple DC motor is taken here as an example of a SISO system. The input voltage and the output in the form of rotations of the motor are given to the parameter estimator.
Saher Arshad   +3 more
openaire   +1 more source

The Existence of Moments of the Ordinary Least Squares and Two-Stage Least Squares Estimators

Econometrica, 1972
This paper deals with two single-equation estimators in a set of simultaneous linear stochastic equations--namely, ordinary least squares (OLS) and two-stage least squares (2SLS). Under the assumption that all predetermined variables in the model are exogenous, necessary and sufficient conditions are obtained for the existence of even moments of the ...
openaire   +2 more sources

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