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

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

In this paper, we propose a generalized class of difference type estimatorsof finite population median in simple and stratiffed random sampling.The expressions for bias and mean square error are derived upto first order of approximation. Numerical comparisons reveal that theproposed class of estimators performs better than the unbiased samplemedian estimator, ratio estimator, exponential estimator, usual differenceestimator, Rao [10] estimator and other difference type estimators.

___

  • Solanki, R. S. and Singh, H. P. Some classes of estimators for median estimation in survey sampling, Communications in Statistics-Theory and Methods, 44(7), 1450-1465, 2015.
  • Singh, H. P. and Solanki R. S. Some classes of estimators for the population median using auxiliary information, Communications in Statistics-Theory and Methods, 42, 4222-4238, 2013.
  • Singh, S. Advances Sampling Theory and Applications: How Michael Selected Amy, Volumes I and II, Kluwer Academic Publishers, The Netherlands, 2003.
  • Sharma, P. and Singh, R. Generalized class of estimators for population median using auxiliary information, Hacettepe Journal of Mathematics and Statistics, 44(2), 443-453, 2015.
  • Shabbir, J. and Gupta, S. On improvement in variance estimation using auxiliary information, Communications in Statistics-Theory and Methods, 36 (12), 1-9, 2007.
  • Rao, T. On certain methods of improving ratio and regression estimators, Communications in Statistics-Theory and Methods, 20 (10), 3325-3340, 1991.
  • MFA. Crops Area Production, Government of Pakistan, Ministry of Food, Agriculture and Livestock. Economic Wing, Islamabad, Pakistan, 2004.
  • 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.
  • Jhajj, H. S., Kaur, H. and Walia, G. Ecient family of ratio-product type estimators of median, Model Assisted Statistics and Applications, 9, 277-282, 2014.
  • PDS Punjab Development Statistics, Bureau of Statistics, Government of the Punjab, Lahore, Pakistan, 2012.
  • 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.
  • Chen, Z., Bai, Z. and Sinha, B. K. Ranked Set Sampling: Theory and Applications, New York, Springer-Verlag, 2004.
  • 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.
  • 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.
  • Aczel, A. D. and Sounderpandian, J. Complete Business Statistics. tth ed., McGraw Hill, New York, 2004.