A Study on the Generalized Ratio-Cum-Product Estimator by Applying from Exponential Estimator in Sample Surveys
Keywords:
Ratio-Cum-Product Estimator, Exponential Estimator, Population Mean, Mean Squared Error, Percent Relative EfficiencyAbstract
The objective of this research was to propose the generalized ratio-cum-product estimator for estimating the population mean by applying from exponential estimator in sample surveys under simple random sampling without replacement (SRSWOR). This proposed estimator was modified from the estimators of Singh et al. (2009) and Singh et al. (2016). The efficiency of this proposed estimator was compared with the usual unbiased estimator, the estimators proposed by Singh et al. (2009) and Singh et al. (2016) on the basis of Mean Squared Error (MSE) and Percent Relative Efficiency (PRE) criteria. The results of this research showed that, under some conditions, the proposed estimator was more efficient than others, which was consistent with the results of theoretical and numerical studies.
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References
Bahl, S., & Tuteja, R. (1991). Ratio and product type exponential estimators. Journal of information and optimization sciences. 12(1), 159-164.
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(2), 262-275.
Enang, E. I., Akpan, V. M., & Ekpenyong, E. J. (2014). Alternative ratio estimator of population mean in simple random sampling. Journal of Mathematics Research. 6(3), 54-61.
Koyuncu, N., & Kadilar, C. (2009). Efficient estimators for the population mean, Hacettepe Journal of Mathematics and Statistics. 38(2), 217-225.
Murthy, M. N. (1967). Sampling Theory and Methods. Calcutta: Statistics Publishing Society.
Perri, P. F. (2005). Combining two auxiliary variables in ratio-cum-product type estimators. In Italian Statistical Society Intermediate meeting on Statistics and Environment (p. 193-196). Messina: Italy.
Robson, D. S. (1957). Application of multivariate polykays to the theory of unbiased ratio-type estimation. Journal of the American Statistical Association. 52(280), 511-522.
Singh, H. P., & Agnihotri, N. (2008). A general procedure of estimating population mean using auxiliary information in sample surveys. Statistics in Transition- new series. 9, 71-87.
Singh, R., Chauhan, P., Sawan, N., & Smarandache F. (2009). Improvement in estimating the population mean using exponential estimator in simple random sampling. Bulletin of Statistics and Economics. 3(13), 13-18.
Singh, H. P., Solanki, R. S., & Singh, A.K. (2016). A generalized ratio-cum-product estimator for estimating the finite population mean in survey sampling. Communications in Statistics – Theory and Methods. 45(1), 158-172.
Yadav, S. K., Dixit, M. K., Dungana, H. N., & Mishra, S. S. (2019). Improved estimators for estimating average yield using supplementary variable. International Journal of Mathematical Engineering and Management Sciences. 4, 1228-1238.
