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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.

An Efficient Estimation Method Based on Double Phase Sampling