Robust estimation in a linear regression model

Robust Estimation in Linear Regression with Molticollinearity and Sparse Models

‎One of the factors affecting the statistical analysis of the data is the presence of outliers‎. ‎The methods which are not affected by the outliers are called robust methods‎. ‎Robust regression methods are robust estimation methods of regression model parameters in the presence of outliers‎. ‎Besides outliers‎, ‎the linear dependency of regressor variables‎, ‎which is called multicollinearity...

Robust Estimation in Linear Regression Model: the Density Power Divergence Approach

The minimum density power divergence method provides a robust estimate in the face of a situation where the dataset includes a number of outlier data. In this study, we introduce and use a robust minimum density power divergence estimator to estimate the parameters of the linear regression model and then with some numerical examples of linear regression model, we show the robustness of this est...

Comparing The ANN And Linear Regression In Estimation Of The Growth Model (The Case Of MENA)

ESTIMATING THE PARAMETERS OF A FUZZY LINEAR REGRESSION MODEL

Fuzzy linear regression models are used to obtain an appropriate linear relation between a dependent variable and several independent variables in a fuzzy environment. Several methods for evaluating fuzzy coefficients in linear regression models have been proposed. The first attempts at estimating the parameters of a fuzzy regression model used mathematical programming methods. In this the...

Efficient Semiparametric Estimation of a Partially Linear Quantile Regression Model

This paper is concerned with estimating a conditional quantile function that is assumed to be partially linear+ The paper develops a simple estimator of the parametric component of the conditional quantile+ The semiparametric efficiency bound for the parametric component is derived, and two types of efficient estimators are considered+ Asymptotic properties of the proposed estimators are establ...