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     Research Journal of Applied Sciences, Engineering and Technology


On Computing Mean Square Error of Ratio Estimator

1Muhammad Ismail, 1Muhammad Qaiser Shahbaz, 1Saman Shahbaz, 2Muhammad Rashad and 2Muhammad Hanif
1Department of Statistics, COMSATS Institute of Information Technology
2National College of Business, Administration and Economics, Lahore, Pakistan
Research Journal of Applied Sciences, Engineering and Technology  2014  9:1896-1899
http://dx.doi.org/10.19026/rjaset.7.479  |  © The Author(s) 2014
Received: June 28, 2013  |  Accepted: July 16, 2013  |  Published: March 05, 2014

Abstract

Mean Square Error (MSE) of estimators in survey sampling is generally derived by considering terms to O (n-). In this study we propose a general method to compute the mean square error of classical ration estimator up to any degree of accuracy. The method has been proposed for ratio estimator in single phase and two phase sampling. We have used the proposed method to compute mean square error to various degree of approximation. Numerical example has also been given for illustration.

Keywords:

Auxiliary variable, higher order, Mean Square Error (MSE),


References

  1. Cochran, W.G., 1940. The estimation of the yields of the cereal experiments by sampling for the ratio of grain to total produce. J. Agri. Sci., 30: 262-275.
    CrossRef    
  2. Cochran, W.G., 1977. Sampling Techniques. John Wiley and Sons, New York.
    PMCid:PMC1607049    
  3. Ismail, M., M.Q. Shahbaz and M. Hanif, 2011. A general class of estimator of population mean in the presence of non-response. Pak. J. Stat., 27(4): 467-476.
  4. Ismail, M., M. Hanif and M.Q. Shahbaz, 2012. A simple generalized ratio-cum-regression estimator for population mean in the presence of non-response for two-phase sampling. Submitted to Pakistan Journal of Statistics (Seen by Courtesy of the Authors).
  5. Khare, B.B. and R.R. Sinha, 2007. Estimation of the ratio of two population means using multi auxiliary characters of non-response. Statistical Techniques in Life Testing, Reliability, Sampling Theory and Quality Control, pp: 163-171.
  6. Khare, B.B. and S. Srivastava, 1993. Estimation of population mean using auxiliary character in presence of non-response. Nat. Acad. Sci. Lett. India, 16: 111-114.
  7. Neyman, J., 1934. On the two different aspects of representative method: The method of stratified sampling and the method of purposive selection. J. Roy. Stat. Soc., 97: 558-606.
    CrossRef    
  8. Rao, P.S.R.S., 1986. Ratio estimation with sub sampling the non respondents. Surv. Methodol., 12(2): 217-230.
  9. Singh, H.P. and S. Kumar, 2008. A regression approach to the estimation of the finite population mean in the presence of non-response. Aust. NZ. J. Stat., 50(4): 395-408.
    CrossRef    
  10. Singh, H.P. and S. Kumar, 2011. Combination of regression and ratio estimate in presence of non response. Braz. J. Stat. Assoc., 25(2): 205-217.
    CrossRef    
  11. Tabasum, R. and I.A. Khan, 2004. Double sampling for ratio estimation with non-response. J. Ind. Soc. Agric. Stat., 58(3): 300-306.
  12. Tripathi, T.P. and B.B. Khare, 1997. Estimation of mean vector in the presence of non-response. Commun. Stat-Theor. M., 26(9): 2255-2269.

Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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