摘要:In this paper an estimation method based on double phase sampling
is proposed to improve the efficiency of estimating the population mean.
An extension is presented for the bivariate case to estimate the parameters of
the simple linear regression model. Conclusions of this study show that using
the proposed method with symmetric populations, the estimator of the population
mean is unbiased and more efficient than the traditional one that is
based on a simple random sample. Results for the standard uniform and the
exponential distribution are given. Simulation results show that the proposed
method is also more efficient than the traditional one in case of estimating the
regression parameters. An application to a real data set is also given.
关键词:Simple Linear Regression, Least Squares Estimator, Efficiency.