An Efficient Estimation Method Based on Double Phase Sampling

Authors

  • Amjad D. Al-Nasser Yarmouk University, Irbid, Jordan
  • Mohammed Al-Haj Ebrahem Yarmouk University, Irbid, Jordan

DOI:

https://doi.org/10.17713/ajs.v36i4.342

Abstract

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.

References

Al-Haj Ebrahem, M., and Al-Nasser, A. D. (2005). Estimating the slope of simple linear regression in the presence of outliers. Journal of Modern Applied Statistical

Methods, 4, 509-513.

Al-Nasser, A. D., and Al-Haj Ebrahem, M. (2005). A new nonparametric method for estimating the slope of measurement error model in the presence of outliers. Pakistan Journal of Statistics, 21, 265-274.

Balakrishnan, N., and Cohen, A. (1990). Order Statistics and Inference: Estimation Methods. UK: Academic Press Inc.

Deming, E. W. (1953). On a probability mechanism to attain an economic balance between the resultant error of response and the bias of nonresponse. Journal of

the American Statistical Association, 48, 743-772.

Graybill, F. A., and Iyer, H. K. (1994). Regression Analysis: Concepts and Applications. California: Duxbury Press.

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Published

2016-04-03

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Section

Articles

How to Cite

An Efficient Estimation Method Based on Double Phase Sampling. (2016). Austrian Journal of Statistics, 36(4), 319–328. https://doi.org/10.17713/ajs.v36i4.342