Generalized P-phased Regression Estimators with Single and Two Auxiliary Variables

Comparison of Ratio Estimators with Two Auxiliary Variables

Many estimators of the population parameters are constructed using known auxiliary variables. The classical well known ratio estimator is one of them. Ratio estimators are frequently employed in sample surveys when estimating the population mean Y of a variate Y with the help of the known population means of a correlated auxiliary variables. Various improvements of this ratio estimator have bee...

Comparison of Auxiliary Variables for Satellite-data Regression Estimators in Crop Surveys*

The Chain Ratio Estimator and Regression Estimator with Linear Combination of Two Auxiliary Variables

In sample surveys, it is usual to make use of auxiliary information to increase the precision of the estimators. We propose a new chain ratio estimator and regression estimator of a finite population mean using linear combination of two auxiliary variables and obtain the mean squared error (MSE) equations for the proposed estimators. We find theoretical conditions that make proposed estimators ...

Two-Sample Instrumental Variables Estimators

Following an influential article by Angrist and Krueger (1992) on two-sample instrumental variables (TSIV) estimation, numerous empirical researchers have applied a computationally convenient two-sample two-stage least squares (TS2SLS) variant of Angrist and Krueger’s estimator. In the two-sample context, unlike the single-sample situation, the IV and 2SLS estimators are numerically distinct. W...

New M-estimators in semiparametric regression with errors in variables

In the regression model with errors in variables, we observe n i.i.d. copies of (Y, Z) satisfying Y = fθ0(X) + ξ and Z = X + ε involving independent and unobserved random variables X, ξ, ε plus a regression function fθ0, known up to some finite dimensional θ. The common densities of the Xi’s and of the ξi’s are unknown whereas the distribution of ε is completely known. We aim at estimating the ...