An improved estimator for population mean  using auxiliary information in stratified random sampling

Sachin  Malik; Viplav K.  Singh; Rajesh  Singh

doi:https://doi.org/10.59170/stattrans-2014-004

An improved estimator for population mean using auxiliary information in stratified random sampling

Sachin Malik Department of Statistics, Banaras Hindu University, Varanasi-221005, India. , Viplav K. Singh 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. 15, 2014, 1, pages: 59-66 Published online: 3 March 2014 https://doi.org/10.59170/stattrans-2014-004

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ABSTRACT

In the present study we propose a new estimator for population mean Y of the study variable y in the case of stratified random sampling using the information based on auxiliary variable x. An expression for the mean squared error (MSE) of the proposed estimator is derived up to the first order of approximation. The theoretical conditions have also been verified by a numerical example. An empirical study demonstrates the efficiency of the suggested estimator over sample mean estimator, usual separate ratio, separate product estimator and other proposed estimators.

KEYWORDS

study variable, auxiliary variable, stratified random sampling, separate ratio estimator, bias and mean squared error.

REFERENCES

BAHL, S., TUTEJA, R. K., (1991). Ratio and product type exponential estimator. Infrm. and Optim. Sci., XII, I, 159–163.

DIANA, G., (1993). A class of estimators of the population mean in stratified random sampling. Statistica 53 (1): 59–66.

KADILAR,C., CINGI,H., (2003). Ratio Estimators in Stratified Random Sampling. Biometrical Journal 45 (2003) 2, 218–225.

KOYUNCU, N., KADILAR, C., (2009). Family of estimators of population mean using two auxiliary variables in stratified random sampling. Comm. In Stat. –Theory and Meth., 38: 14, 2398–2417.

SOLANKI, R. S., SINGH, H. P., RATHOUR, A., (2012). An alternative estimator for estimating the finite population mean using auxiliary information in sample surveys. ISRN Prob. and Stat. doi:10.5402/2012/657682.

SINGH, H., P., VISHWAKARMA, G. K., (2008). A family of estimators of population mean using auxiliary information in stratified sampling. Communication in Statistics Theory and Methods, 37 (7), 1038–1050.

SINGH, R., CHAUHAN, P., SAWAN, N., SMARANDACHE, F., (2007). Auxiliary information and a priori values in construction of improved estimators. Renaissance High Press. Zip publishing Columbas, Ohio, USA.

YADAV R., UPADHYAYA L. N., SINGH H. P., CHATTERJEE S., (2011).Improved separate exponential estimator for population mean using auxiliary information. Statistics in Transition new series, 12 (2), pp. 401–412