IMPROVEMENT ON ESTIMATING MEDIAN FOR FINITE POPULATION USING AUXILIARY VARIABLES IN DOUBLE-SAMPLING
DOI:
https://doi.org/10.11113/jt.v80.10851Keywords:
Auxiliary variables, BIAS, median, mean square error, percentage relative efficiencyAbstract
The aim of the study is to suggest a difference-cum-ratio type of median estimator for finite population median using two-auxiliary variables in double sampling. Using simple random sampling without-replacement scheme (SRSWOR) the estimated mean square error (MSE) and BIAS are computed for the new suggested median estimator. The suggested median estimator has a smaller MSE than all other median estimators currently in practice, showing a valid contribution to the literature. In addition some members of the suggested estimator and theoretical comparison of MSE are also computed. Finally, the numerical and graphical comparison of percent relative efficiency (PRE) is also computed for five different real data sets.
References
Gross, S. T. 1980. Median Estimation in Sample Surveys. Survey Research Method Section. American Statistical Association. 181-184.
Kuk, Y. C. A. and Mak, T. K. 1989. Median Estimation in the Presence of Auxiliary Information. Journal of Royal Statistical Society, B. 2: 261-269.
Allen, J., Singh, H. P., Singh, S. and Smaradache, F. 2002. A General Class of Estimators of Population Median Using Two Auxiliary Variables in Double Sampling. Virginia Polytechnic Institute and State University, Blackburg, VA.
Singh, S., Joarder, A.H. and Tracy, D.S. 2001. Median Estimation Using Double Sampling. Australian and Newzeland Journal of Statistics. 43(1): 33-46.
Singh, S., Singh, H.P. and Upadhyaya, L. N. 2006. Chain Ratio and Regression Type Estimators for Median Estimation in Survey Sampling. Statistical Papers. 48: 23-46.
Gupta, S., Shabbir, J. and Ahmad, S. 2008. Estimation of Median in Two-Phase Sampling Using Two Auxiliary Variables. Communications in Statistics-Theory and Methods. 37: 1815-1822.
Upadhyaya, L. N. and Singh, G. N. 2001. Chain Type Estimators Using Transformed Auxiliary Variable in Two-Phase Sampling. Advances in Modeling and Analysis. 38: 1-10.
Srivastava, S. K. 1970. A Two Phase Sampling Estimator In Sample Surveys. Australian Journal of Statistics. 12(1): 23-27.
Chand, L. 1975. Some Ratio-Estimators Based on Two or More Auxiliary Variables, Ph.D dissertation, Iwoa State University, Ames, Iowa. Unpublished. Auxiliary Information, Ph.D dissertation, West Bengal, India.
Srivastava, S. K., Rani, S., Khare, B. B. and Srivatava, S. R. 1990. A Generalized Chain Ratio Estimator for Mean of Finite Population. Journal of the Indian Socitey of Agricultural Statistics. 42(1): 108-117.
Singh, S. 2003. Advanced Sampling Theory with Applications. Kluwer Academic Publishers, London.
Nursel, K. 2014. On improvement in Estimating Median in Two Phase Sampling Using Two Auxiliary Information. Int. J. Agricultural. Stat. Sci. 10(1): 27-33.
Aamir, M., Haq, Z., Tariq, M., Jan ,S. and Jehangir, M. 2014. Improvement on Estimating of Median in Two-Phase Sampling Using Two Auxiliary Variables. Life Science Journal 11. 4s: 98-104
Jhajj, H. S. and Walia, G. S. 2011. A Generalized Difference-Cum-Ratio Type Estimator for the Population Mean in Double Sampling. Communications in Statistics-Simulation and Computation. 41: 58-64.
Sukhatme, P. V., Sukhatme, B. V., Sukhatme, S. and Asok, C. 1984. Sampling Theory of Survey with Applications. Iowa State University Press. U.S.A.
Dorfman, A. H. 1993. A Comparison of Design Based and Model Based Estimators of the Finite Population Distribution Function. Australian Journal of Statistics. 35: 29-41.
U.S. Department of Agriculture 2011. State Wise Production of Major Crops. National Agricultural Statistics Service, U.S.A. http://www.nass.usda.gov/index.asp.
MFA. 2004. Crops Area Production, Ministry of Food and Agriculture, Islamabad, Pakistan.
Indian Horticulture Database 2011. State Wise Production of Major Spices in India, Ministry of agriculture, Govt of India, http:www.nhb.gov.in.
Singh, H. P. and Espejo, R. M. 2003. On Linear Regression and Ratioproduct Estimation of a Finite Population Mean. The Statistician. 52(1): 59-67.
Aamir, M., Shabri, A. and Ishaq, M. 2016. Median Estimation in Simple Random Sampling by Using Two Auxiliary Variable. Abasyn Journal of Social Sciences. 376-390.
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