Improved class of estimators of finite population mean using sampling fraction and information on two auxiliary variables in sample surveys
DOI:
https://doi.org/10.6092/issn.1973-2201/4329Keywords:
Study variable, two auxiliary variable, Bias, mean square error, simple random samplingAbstract
This paper suggested a generalized class of estimators using information on two auxiliary va-riables and sampling fraction in simple random sampling. The bias and mean squared error for-mulae of suggested class have been derived under large sample approximation and compared with usual unbiased estimator and Singh’s (1967) ratio-cum-product estimator. The theoretical findings have been satisfied with an empirical study.
References
B. PRASAD (1989). Some improved ratio type estimators of population mean and ratio in finite population sample surveys. Commun. Statist. Theo. Meth., 18, (1), pp. 379–392.
D.S. ROBSON (1957). Applications of multivariate polykays to the theory of unbiased ratio-type estimation. Jour. Amer. Statist. Assoc., 52, (280), pp. 511-522.
H.P. SINGH L.N. UPADHYAYA,R. TAILOR (2009). Ratio-cum-product type exponential estimator. Statistica, 69, (4), pp. 299-310.
H.P. SINGH, M. RUIZ-ESPEJO (2003). On linear regression and ratio-product estimation of a finite population mean. The Statistician, 52, (1), pp. 59-67.
H.P. SINGH, N. KARPE (2009). On the estimation of ratio and product of two population means using supplementary information in presence of measurement errors. Statistica, 69, (1), pp. 27-47.
H.P. SINGH, R. TAILOR (2005). Estimation of finite population mean using known correlation coefficient between auxiliary characters. Statistica, 65, (4), pp. 407-418. H.P. SINGH, R.K. GANGELE (1998). Classes of almost unbiased ratio and product-type estimators in two-phase sampling. Statistica, 59, (1), pp. 109-124.
H.P. SINGH, R.S. SOLANKI (2012). Improved estimation of population mean in simple random sampling using information on auxiliary attribute. Appl. Math. Comp., 218, (15), pp. 7798-7812.
H.P. SINGH, RAJESH TAILOR, RITESH TAILOR, M.S. KAKRAN (2004). An improved estimator of population mean using power transformation. Jour. Ind. Soc. Agri. Statist., 58, (2), pp. 223-230.
H.P. SINGH, RITESH TAILOR, RAJESH TAILOR (2010). On ratio and product methods with certain known population parameters of auxiliary variable in sample surveys. SORT, 34, (2), 157-180.
L.N. UPADHYAYA, H.P. SINGH (1999). Use of transformed auxiliary variable in estimating the finite population mean. Biometrical Jour., 41, (5), pp. 627-636.
L.N. UPADHYAYA, H.P. SINGH, S. CHATTERJEE, R. YADAV, R. (2011). Improved ratio and product exponential type estimators. Jour. Statist. Theo. Prac., 5, (2), pp. 285-302.
M.N. MURTHY (1964). Product method of estimation. Sankhya, A, 26, (1), pp. 69-74.
M.P. SINGH (1967). Ratio cum product method of estimation. Metrika, 12, (1), pp. 34-42.
R. SINGH, P. CHAUHAN, N. SAWAN (2007). A family of estimators for estimating population mean using known correlation coefficient in two-phase sampling. Statist. Trans. new series, 8, (1), pp. 89-96.
R. TAILOR, B. SHARMA (2009). A modified ratio-cum-product estimator of finite population mean using known coefficient of variation and coefficient of kurtosis. Statist. Trans. new series, 10, (1), pp. 15-24.
R.G.D. STEEL, J.H. TORRIE (1960). Principles and Procedures of Statistics. McGraw, New York, USA.
R.S. SOLANKI,H.P. SINGH, A. RATHOUR (2012). An alternative estimator for estimating the finite population mean using auxiliary information in sample surveys. ISRN Prob. Statist., DOI: 10.5402/2012/657682.
S. MOHANTY, J. SAHOO (1995). A note on improving the ratio method of estimation through linear transformation using certain known population parameters. Sankhya, B, 57, (1), pp. 93-102.
S.K. SRIVASTAVA (1980). A class of estimators using auxiliary information in sample surveys. Canad. Jour. Statist., 8, (2), pp. 253-254.
T. SRIVENKATARAMANA, D.S. TRACY (1980). An alternative to ratio method in sample surveys. Ann. Inst. Statist. Math., 32, (1), pp. 111-120.
W.G. COCHRAN (1940). The estimation of the yields of cereal experiments by sampling for the ratio of grain to total produce. Jour. Agri. Sci., 30, pp. 262-275.
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