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Approximated Uncertainty Propagation of Correlated Independent Variables Using the Ordinary Least Squares Estimator [PDF]

open access: yesMolecules
For chemical measurements, calibration is typically conducted by regression analysis. In many cases, generalized approaches are required to account for a complex-structured variance–covariance matrix of (in)dependent variables. However, in the particular
Jeong Sik Lim   +2 more
doaj   +4 more sources

A New Convex Estimator Combining Ridge and Ordinary Least Squares Estimators [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة
In the presence of high correlation between the independent variables in the linear regression model, which is known as the multicollinearity problem, the ordinary least squares estimator produce large variations in the sample.
Karam Al-janabi, Mustafa Alheety
doaj   +2 more sources

A New Mixed Biased Estimator for Ill‐Conditioning Challenges in Linear Regression Model With Chemometrics Applications [PDF]

open access: yesAnalytical Science Advances
In linear regression models, the ordinary least squares (OLS) method is used to estimate the unknown regression coefficients. However, the OLS estimator may provide unreliable estimates in non‐orthogonal models.
Muhammad Amin   +3 more
doaj   +2 more sources

Ordinary least squares estimation of a dynamic game model [PDF]

open access: yesInternational Economic Review, 2016
Estimation of dynamic games is known to be a numerically challenging task. A common form of the payoff functions employed in practice takes the linear-in-parameter specification.
Srisuma, Sorawoot   +8 more
core   +5 more sources

Temporal Aggregation and Ordinary Least Squares Estimation of Cointegrating Regressions [PDF]

open access: yes, 2000
The paper derives the asymptotic distribution of the ordinary least squares estimator of cointegrating vectors with temporally aggregated time series.
Gabriel Pons Rotger
core   +1 more source

On the Inconsistency of the Ordinary Least Squares Estimator for Spatial Autoregressive Processes [PDF]

open access: yes, 2000
This paper investigates the asymptotic properties of the ordinary least squares estimator for spatial autoregressive models. We show that this estimator is biased as well as inconsistent for the parameters regardless of the distribution of the error term.
Théophile AZOMAHOU, Agénor LAHATTE
core   +1 more source

Asymptotic efficiency of the ordinary least-squares estimator for sur models with integrated regressors

open access: yesStatistics & Probability Letters, 2017
For seemingly unrelated regression (SUR) models with integrated regressors, two sufficient conditions are identified, under which the ordinary least-squares estimator (OLSE) is asymptotically efficient. The first condition is that every pair of regressor
신동완
core   +3 more sources

A new biased regression estimator: Theory, simulation and application

open access: yesScientific African, 2022
The linear regression model explores the relationship between a response variable and one or more independent variables. The ordinary least squared estimator is usually adopted to estimate the parameters of the model when the independent variables are ...
Issam Dawoud   +2 more
doaj   +1 more source

Inference in Linear Models with Nonstochastic Biased Factors [PDF]

open access: yesThe Egyptian Statistical Journal, 1996
Obenchain (1977) claimed that ridge techniques with nonstochastic of biased factors don't generally yield "new" normal theory statistical inference than that used in least squares technique, and that the t and F statistics are identical under both ...
Abdul-Mordy Azzam
doaj   +1 more source

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