Improved estimators for simple random sampling and  stratified random sampling under second order of approximation

Prayas Sharma; Rajesh Singh

doi:https://doi.org/10.59170/stattrans-2013-024

Improved estimators for simple random sampling and stratified random sampling under second order of approximation

Prayas Sharma Department of Statistics, Banaras Hindu University. Varanasi-221005, India , Rajesh Singh Department of Statistics, Banaras Hindu University. Varanasi-221005, India Statistics in Transition new series, vol. 14, 2013, 3, pages: 379-390 Published online: 2 September 2013 https://doi.org/10.59170/stattrans-2013-024

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ABSTRACT

Singh and Solanki (2012) and Koyuncu (2012) proposed estimators for estimating population mean Y. Up to the first order of approximation and under optimum conditions, the minimum mean squared error of both the estimators is equal to the MSE of the regression estimator. In this paper, we have tried to find out the second order biases and mean square errors of these estimators using information on auxiliary variable based on simple random sampling. Finally, we have compared the performance of these estimators with some numerical illustration

KEYWORDS

simple random sampling, stratified random sampling, population mean, study variable, exponential ratio type estimators, bias and MSE.

REFERENCES

HOSSAIN, M. I., RAHMAN, M. I., TAREQ, M., (2006). Second order biases and mean squared errors of some estimators using auxiliary variable. SSRN.

KADILAR, C., CINGI, H., (2006). Ratio estimators in stratified random sampling. Biom. Jour., 45, 2, 218–225.

KHOSHNEVISAN, M., SINGH, R., CHAUHAN, P., SAWAN, N., SMARANDACHE, F., (2007). A general family of estimators for estimating population mean using known value of some population parameter(s), Far East Journal of Theoretical Statistics 22, 181–191.

KOYUNCU, N., (2012). Efficient estimators of population mean using auxiliary attributes. Appl. Math. Comput.

SINGH, D., CHUDHARY, F. S., (1986). Theory and analysis of sample survey designs. Wiley Eastern Limited, New Delhi.

SINGH, H. P., SOLANKI, R. S., (2012). Improved estimation of population mean in simple random sampling using information on auxiliary attribute. Appl. Math. Comput., 218, 7798–7812.

SINGH, R., CAUHAN, P., SAWAN, N., SMARANDACHE, F., (2007). Auxiliary Information and A Priori Values in Construction of Improved Estimators. Renaissance High Press.

SINGH, R., KUMAR, M., (2011). A note on transformations on auxiliary variable in survey sampling. MASA, 6:1, 17–19.

SUKHATME, P. V., SUKHATME, B. V., (1970). Sampling theory of surveys with applications. Iowa State University Press, Ames, U.S.A.

UPADHYAYA, L. N., SINGH, H. P., (1999). Use of transformed auxiliary variable in estimating the finite population mean. Biom. Jour., 41, 627–636