Share This Article:

A New Regression Type Estimator with Two Auxiliary Variables for Single-Phase Sampling

Abstract Full-Text HTML XML Download Download as PDF (Size:2541KB) PP. 789-796
DOI: 10.4236/ojs.2014.49074    3,233 Downloads   3,822 Views   Citations

ABSTRACT

In this paper, we have proposed an estimator of finite population mean using a new regression type estimator with two auxiliary variables for single-phase sampling and investigated its finite sample properties. An empirical study has been carried out to compare the performance of the proposed estimator with the existing estimators that utilize auxiliary variables for finite population mean. It has been found that the new regression type estimator with two auxiliary variables for to be more efficient than mean per unit, ratio and product estimator and exponential ratio and exponential product estimators and exponential ratio-product estimator.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Tum, E. , Kung’u, J. and Odongo, L. (2014) A New Regression Type Estimator with Two Auxiliary Variables for Single-Phase Sampling. Open Journal of Statistics, 4, 789-796. doi: 10.4236/ojs.2014.49074.

References

[1] Neyman, J. (1938) Contribution to the Theory of Sampling Human Populations. Journal of the American Statistical Association, 33, 101-116.
http://dx.doi.org/10.1080/01621459.1938.10503378
[2] Cochran, W.G. (1940) The Estimation of the Yields of the Cereal Experiments by Sampling for the Ratio of Grain to Total Produce. Journal of Agricultural Science, 30, 262-275.
http://dx.doi.org/10.1017/S0021859600048012
[3] Watson, D.J. (1937) The Estimation of Leaf Areas. Journal of Agricultural Science, 27, 474.
http://dx.doi.org/10.1017/S002185960005173X
[4] Olikin, I. (1958) Multivariate Ratio Estimation for Finite Population. Biometrika, 45, 154-165.
http://dx.doi.org/10.1093/biomet/45.1-2.154
[5] Raj, D. (1965) On a Method of Using Multi-Auxiliary Information in Sample Surveys. Journals of the American Statistical Association, 60, 154-165.
http://dx.doi.org/10.1080/01621459.1965.10480789
[6] Singh, M.P. (1967) Ratio-Cum-Product Method of Estimation. Metrika, 12, 34-42.
http://dx.doi.org/10.1007/BF02613481
[7] Robson, D.S. (1952) Multiple Sampling of Attributes. Journal of the American Statistical Association, 47, 203-215.
http://dx.doi.org/10.1080/01621459.1952.10501164
[8] Ahmad, Z. (2008) Generalized Multivariate Ratio and Regression Estimators for Multi-Phase Sampling. Unpublished Ph.D. Thesis, National College of Business Administration and Economics, Lahore.
[9] Zahoor, A., Muhhamad, H. and Munir, A. (2009) Generalized Regression-Cum-Ratio Estimators for Two Phase Sampling Using Multiple Auxiliary Variables. Pakistan Journal of Statistics, 25, 93-106.
[10] Jhajj, H.S., Sharma, M.K. and Grover, L.K. (2006) A Family of Estimator of Population Mean Using Information on Auxiliary Attributes. Pakistan Journal of Statistics, 22, 43-50.
[11] Naik, V.D. and Gupta, P.C. (1996) A Note on Estimation of Mean with Known Population of Auxiliary Character. Journal of the Indian Society of Agricultural Statistics, 48, 151-158.
[12] Bahl, S. and Tuteja, R.K. (1991) Ratio and Product Type Estimator. Information and Optimization Sciences, 12, 159-163.
[13] Hanif, M., Haq, I.U. and Shahbaz, M.Q. (2009) On a New Family of Estimator Using Multiple Auxiliary Attributes. World Applied Science Journal, 11, 1419-1422.
[14] Kung’u, J. and Odongo, L. (2014) Ratio-Cum-Product Estimator Using Multiple Auxiliary Attributes in Single Phase Sampling. Open Journal of Statistics, 4, 239-245.
http://dx.doi.org/10.4236/ojs.2014.44023
[15] Kung’u, J. and Odongo, L. (2014) Ratio-Cum-Product Estimator Using Multiple Auxiliary Attributes in Two-Phase Sampling. Open Journal of Statistics, 4, 246-257.
http://dx.doi.org/10.4236/ojs.2014.44024
[16] Moeen, M., Shahbaz, Q. and Hanif, M. (2012) Mixture Ratio and Regression Estimators Using Multi-Auxiliary Variable and Attributes in Single Phase Sampling. World Applied Sciences Journal, 18, 1518-1526.
[17] Simiuddin, M. and Hanif, M. (2007) Estimation of Population Mean in Single and Two Phase Sampling with or without Additional Information. Pakistan Journal of Statistics, 23, 99-118.
[18] Arora, S. and Lal, B. (1989) New Mathematical Statistics. Satya Prakashan, New Delhi.
[19] Johnson, R.W. (1996) Fitting Percentage of Body Fat to Simple Body Measurements. Journal of Education, 4.

  
comments powered by Disqus

Copyright © 2019 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.