Research Article

A generalized class of difference type estimators for population median in survey sampling

Volume: 46 Number: 5 October 1, 2017
EN

A generalized class of difference type estimators for population median in survey sampling

Abstract

In this paper, we propose a generalized class of difference type estimators of nite population median in simple and stratied random sampling. The expressions for bias and mean square error are derived up to first order of approximation. Numerical comparisons reveal that the proposed class of estimators performs better than the unbiased sample median estimator, ratio estimator, exponential estimator, usual difference estimator, Rao [10] estimator and other difference type estimators.

Keywords

References

  1. Aczel, A. D. and Sounderpandian, J. Complete Business Statistics. tth ed., McGraw Hill, New York, 2004.
  2. Al. S. and Cingi, H. New estimators for the population median in simple random sampling, Proceedings of the Tenth Islamic Countries Conference on Statistical Sciences (ICCS-X), held in New Cairo, Egypt, 375-383, 2009.
  3. Aladag, S. and Cingi, H. Improvement in estimating the population median in simple random sampling and stratied random sampling using auxiliary information, Communications in Statistics-Theory and Methods, 44, 1013-132, 2015.
  4. Chen, Z., Bai, Z. and Sinha, B. K. Ranked Set Sampling: Theory and Applications, New York, Springer-Verlag, 2004.
  5. Gupta, S., Shabbir, J. and Ahmad, S. Estimation of median in two phase sampling using two auxiliary variables, Communications in Statistics-Theory and Methods, 37(11), 1815-1822, 2008.
  6. PDS Punjab Development Statistics, Bureau of Statistics, Government of the Punjab, La- hore, Pakistan, 2012.
  7. Jhajj, H. S., Kaur, H. and Walia, G. Efficient family of ratio-product type estimators of median, Model Assisted Statistics and Applications, 9, 277-282, 2014.
  8. Kuk, A.Y.C and Mak, T. K. Median estimation in the presence of auxiliary information, Journal of the Royal Statistical Society, B, 51, 261-269, 1989.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

October 1, 2017

Submission Date

April 20, 2015

Acceptance Date

December 9, 2015

Published in Issue

Year 2017 Volume: 46 Number: 5

APA
Shabbir, J., & Gupta, S. (2017). A generalized class of difference type estimators for population median in survey sampling. Hacettepe Journal of Mathematics and Statistics, 46(5), 1015-1028. https://izlik.org/JA33YT36TW
AMA
1.Shabbir J, Gupta S. A generalized class of difference type estimators for population median in survey sampling. Hacettepe Journal of Mathematics and Statistics. 2017;46(5):1015-1028. https://izlik.org/JA33YT36TW
Chicago
Shabbir, Javid, and Sat Gupta. 2017. “A Generalized Class of Difference Type Estimators for Population Median in Survey Sampling”. Hacettepe Journal of Mathematics and Statistics 46 (5): 1015-28. https://izlik.org/JA33YT36TW.
EndNote
Shabbir J, Gupta S (October 1, 2017) A generalized class of difference type estimators for population median in survey sampling. Hacettepe Journal of Mathematics and Statistics 46 5 1015–1028.
IEEE
[1]J. Shabbir and S. Gupta, “A generalized class of difference type estimators for population median in survey sampling”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 5, pp. 1015–1028, Oct. 2017, [Online]. Available: https://izlik.org/JA33YT36TW
ISNAD
Shabbir, Javid - Gupta, Sat. “A Generalized Class of Difference Type Estimators for Population Median in Survey Sampling”. Hacettepe Journal of Mathematics and Statistics 46/5 (October 1, 2017): 1015-1028. https://izlik.org/JA33YT36TW.
JAMA
1.Shabbir J, Gupta S. A generalized class of difference type estimators for population median in survey sampling. Hacettepe Journal of Mathematics and Statistics. 2017;46:1015–1028.
MLA
Shabbir, Javid, and Sat Gupta. “A Generalized Class of Difference Type Estimators for Population Median in Survey Sampling”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 5, Oct. 2017, pp. 1015-28, https://izlik.org/JA33YT36TW.
Vancouver
1.Javid Shabbir, Sat Gupta. A generalized class of difference type estimators for population median in survey sampling. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Oct. 1;46(5):1015-28. Available from: https://izlik.org/JA33YT36TW