An Improved Linear Combination of Two Estimators for Reducing the Mean Squared Error in a Sample Survey under Simple Random Sampling
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Abstract
The objective of this paper is to improve the efficiency of a linear combination of two estimators for estimating the population mean using auxiliary information in a sample survey. We also study some properties of the new estimator by using the concept of large-sample approximations and comparing them with some existing estimators through the numerical study. To achieve this, three data sets are used to support the performance of the new estimator. It has been shown that the new estimator is equivalent in terms of efficiency as compared to usual linear regression and it is better than other existing estimators under consideration in the terms of Mean Squared Error (MSE) and Percent Relative Efficiencies (PREs).
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References
W. G. Cochran, “The estimation of the yields of the cereal experiments by sampling for the ratio of grain to total produce,” J. Agric. Sci., vol. 30, no. 2, pp. 262–275, Apr. 1940.
D. S. Robson, “Application of multivariate polykays to the theory of unbiased ratio-type estimation,” J. Am. Stat. Assoc., vol. 52, no. 280, pp. 511–522, 1957.
M. N. Murthy, “Product method of estimation,” Sankhya: Indian J. Stat., Ser. A., vol. 26, no. 1, pp. 69–74, 1964.
D. J. Watson, “The estimation of leaf area in field crops,” J. Agric. Sci., vol. 27, no. 3, pp. 474–483, 1937.
H. P. Singh, R. S. Solanki, and A. K. Singh, “A generalized ratio-cum-product estimator for estimating the finite population mean in survey sampling,” Commun. Statist. Theory Methods, vol. 45, no. 1, pp. 158–172, 2016.
M. Khoshnevisan, R. Singh, P. Chauhan, N. Sawan, and F. Smarandache, “A general family of estimators for estimating population mean using known value of some population parameter(s),” Far East J. Theor. Stat., vol. 22, no. 2, pp. 181–191, 2007.
H. P. Singh and N. Agnihotri, “A general procedure of estimating population mean using auxiliary information in sample surveys,” Stat. Transit., vol. 9, no. 1, pp. 71–87, 2008.
B. N. Pandey and V. Dubey, “Modified product estimator using coefficient of variation of auxiliary variate,” Assam Stat. Rev., vol. 2, no. 2, pp. 64–66, 1988.
B. V. S. Sisodia and V. K. Dwivedi, “A modified ratio estimator using coefficient of variation of auxiliary variable,” J. Indian. Soc. Agric. Statist., vol. 33, no. 2, pp. 13–18, 1981.
L. N. Upadhyaya and H. P. Singh, “Use of transformed auxiliary variable in estimating the finite population mean,” Biom. J., vol. 41, no. 5, pp. 627–636, 1999.
H. P. Singh and R. Tailor, “Use of known correlation coefficient in estimating the finite population mean,” Stat. Transit., vol. 61, no. 1, pp. 555–560, 2003.
C. Kadilar and H. Cingi, “Ratio estimators in simple random sampling,” Appl. Math. Comput., vol. 151, no. 3, pp. 893–902, 2004.
Z. Yan and B. Tian, “Ratio method to the mean estimation using coefficient of skewness of auxiliary variable,” presented at the Int. Conf. Inf. Comput. and Appl., Tangshan, China, Oct. 15–18, 2010.
M. Abid, N. Abbas, H. Z. Nazir, and Z. Lin, “Enhancing the mean ratio estimators for estimating population mean using non-conventional location parameters,” Rev. Colomb. Estad., vol. 39, no. 1, pp. 63–79, 2016.
M. Subzar, S. Maqbool, T. A. Raja, and M. Abid, “Ratio estimators for estimating population mean in simple random sampling using auxiliary information,” Appl. Math. Inf. Sci. Lett., vol. 6, no. 3, pp. 123–130, 2018.
S. K. Yadav, M. K. Dixit, H. N. Dungana, and S. S. Mishra, “Improved estimators for estimating average yield using auxiliary variable,” Int. J. Math. Eng. Manage. Sci., vol. 4, no. 5, pp. 1228–1238, 2019.
N. Dansawad, “A general family of estimators to estimate population mean with two-phase sampling in the presence of non-response,” Int. J. Agricult. Stat. Sci., vol. 15, no. 2, pp. 523–527, 2019.
N. Dansawad, “Ratio-cum-product type of exponential estimator for the population mean in simple random sampling using the information of auxiliary variable,” Burapa Sci. J., vol. 25, no. 2, pp. 563–577, 2020.
S. A. Sabo, I. Z. Musa, and Y. I. Kibiya, “Developed ratio estimator for estimating population mean from a finite population using sample size and correlation,” IJRASET, vol. 8, no. 6, pp. 904–911, 2020.
P. Lurdjariyaporn and N. Dansawad, “A general ratio type of exponential estimator for estimating the population mean under simple random sampling using the information of auxiliary variable,” J. Res. Innov. Sci Technol., vol. 2, no. 2, pp. 1–15, 2021.
P. Lurdjariyaporn and N. Dansawad, “Restructured class of ratio estimators for estimating the population mean using the information of auxiliary variable in simple random sampling,” J. Res. Innov. Sci. Technol., vol. 2, no. 2, pp. 28–44, 2021.
S. Ahmad, M. Arslan, A. Khan, and J. Shabbir, “A generalized exponential-type estimator for population mean using auxiliary attributes,” PLoS ONE, vol. 16, no. 5, pp. 1–29, 2021.
M. Jerajuddin and M. Kishun, “Modified ratio estimators for population mean using size of the sample, selected from population,” IJSRSET., vol. 2, no. 2, pp. 10–16, 2016.
W. G. Cochran, “Subsampling with Units of Unequal Sizes,” in Sampling techniques, vol. 1, 3rd ed. South Orleans, MA, USA: John Wiley & Sons, 1977.