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error (MSE). In the simulation study we also calculate the mean value and the standard deviation of k. The average value is … criteria if several estimators of k have the same MSE, then the most stable estimator (with the lowest standard deviation …
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the presence of multicollinearity. After exhibiting the MSE of ridge estimator based on eigenvalues of design matrix, a …, increasing the correlation between the independent variables has positive effect on the MSE (signal-to-noise-ratio). However …> has negative effect on MSE. When the sample size increases the MSE decreases even when the correlation between the …
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The preliminary test ridge regression estimators (P T R R E) based on the Wald (W), Likelihood Ratio (L R) and Lagrangian Multiplier (L M) tests for estimating the regression parameters has been considered in this paper. Here we consider the multiple regression model with student t error...
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Liu (1993) for the linear regression. This new estimation method is suggested since the mean squared error (MSE) of the … correlated. Using MSE, the optimal value of the shrinkage parameter is derived and some methods of estimating it are proposed. It … is shown by means of Monte Carlo simulations that the estimated MSE and mean absolute error (MAE) are lower for the …
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The purpose of this paper is to introduce a new general Liu-type estimator which includes the ordinary least squares (OLS), ordinary ridge regression (ORR), Liu estimators and some estimators with two biasing parameters as special cases. Also, we investigate the superiority of the new Liu-type...
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It is known that, when in the linear regression model there is a high degree of multicollinearity, the results obtained … also shown that regression with orthogonal variables makes sense regardless of the existence of serious multicollinearity …
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