AN IMPROVED CLASS OF RATIO ESTIMATORS FOR ESTIMATING POPULATION MEAN USING AUXILIARY INFORMATION IN SURVEY SAMPLING
Keywords:
Decile Mean, Median, Quartile Deviation, coefficient of Skewness, correlation coefficient, coefficient of variation, Bias, Efficiency, Mean Square ErrorAbstract
The use of ancillary information in sample survey is to get gain in precision of estimates. However, various estimators have been developed using other conventional locations parameters, in the present paper we have proposed some new estimators by using the ancillary information of decile mean, second quartile and quartile deviation with other measures of population such as skewness, coefficient of correlation, coefficient of variation of the concomitant variable. The performance linked among the anticipated estimators are determined by MSE (mean square error) and Bias and compare by means of usual ratio estimator by Cochran (1940) and with existing estimators proposed via Abid et al. in (2016a, 2016b). With this evaluation we initiate with the aim of that our anticipated estimators are proficient set of estimators than the ratio estimator by Cochran (1940) and the existing estimators via Abid et al. in (2016a, 2016b). Numerical study is provided to hold up the theoretical results.
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References
Abid, M., Abbas, N., Nazir, H.Z. and Lin, Z. (2016a). Enhancing the mean
ratio estimators for estimating population mean using non-conventional
location parameters, Revista Colombiana de Estadistica, 39(1), p. 63-79.
Abid, M., Abbas, N., Sherwani, R.A .K. and Nazir, H.Z (2016b). Improved
ratio estimators for the population mean using non-conventional measures of
dispersion, Pakistan Journal of Statistics and Operation Research, 12(2), p.
-367.
Cochran, W. G. (1940). The estimation of the yields of the cereal experiments
by sampling for the ratio of grain to total produce, The Journal of Agric.
Science, 30, p. 262-275.
Muhammad, H., Naqvi, H., and Muhammad, Q. (2009). A modified
regression-type estimator in survey sampling, Applied Sciences Journal, 7(12),
p. 1559-1561.
Murthy, M. N. (1967). Sampling Theory and Methods. Calcutta, Statistics
Publishing Society.
Okafor, F. C. (2002). Sample Survey Theory with Applications (1st ed.).
Nsukka, Nigeria, Afro-Orbis.
Perri, P. F. (2005). Combining two Auxiliary Variables in Ratio-cum-product
type Estimators, Proceedings of Italian Statistical Society, Intermediate
meeting on Statistics and Environment, Messina, p. 193-196.
Rajesh, T., Rajesh, P., & Jong-Mind, K. (2011). Ratio-cum-product Estimators
of Population mean using known Parameters of Auxiliary Variables,
Communications of the Korean Statistical Society, 18(2), p. 155-164.
Robson, D. S. (1957). Application of Multivariate Polykays to the Theory of
unbiased ratio-type estimation, Journal of the American Statistical
Association, 52, p. 511-522.
Sohel, R., Md, S.U.D., Habshah, M. and Imon, A.H.M.R. (2012). Decile
mean: A new robust measure of central tendency, Chiang Mai Journal of
Science, 39(3), p. 478-485.
Solanki, R, Kumar, M, Smarandache, F. (2012). An alternative estimator for
estimating the finite population mean using auxiliary information in sample
surveys, ISRN Probability and Statistics, Article ID 657682.
Subramani, J. and Kumarapandiyan, G. (2012). A class of modified ratio
estimators using deciles of an auxiliary variable, International Journal of
Statistical Application, 2, p. 101-107.
Subramani, J. and Kumarapandiyan, G. (2012b). A class of almost unbiased
modified ratio Estimators of Population parameters, Elixir statistics, 44, p.
-7415.
Subzar, M., Raja, A. T., Maqbool, S. and Nazir, N. (2016). New Alternative to
Ratio Estimator of population mean, International Journal of Agricultural and
Statistical Sciences, 1, p. 221-225.
Wolter, K.. M. (1985). Introduction to Variance Estimation, Springer-Verlag.
