ESTIMATION OF POPULATION MEAN USING TWO AUXILIARY VARIABLES IN STRATIFIED RANDOM SAMPLING

Authors

  • Madhulika Mishra Department of Statistics, Banaras Hindu University, Varanasi, India
  • B. P. Singh Department of Statistics, Banaras Hindu University, Varanasi, India
  • Rajesh Singh Department of Statistics, Banaras Hindu University, Varanasi, India

Keywords:

Study Variable, Auxiliary Variables, Stratified Random Sampling, Mean Squared Error, Efficiency, Bias.

Abstract

This article discusses the problem of estimation of population mean in stratified sampling using information on two auxiliary variables. The expressions for the mean square error of the proposed estimator have been derived up to the first order of approximation and are compared with the existing estimators. Also, an empirical study has been carried out in order to show that the proposed estimator turns out to be more efficient than the existing estimators and for this we have considered real data sets.

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References

Bahl, S. and Tuteja, R. K. (1991). Ratio and product type exponential

estimators, Journal of information and optimization sciences, 12(1), p. 159-164.

Cochran, W.G. (1977). Sampling Techniques, 3rd edition, John Wiley, New York.

Dayal, S. (1980). On allocation of sample using estimates of both proportions of

stratum sizes and standard deviations. Ann. Inst. Statist. Math., 32, p. 433-444.

Haq, A., and Shabbir, J. (2013). Improved family of ratio estimators in simple and

stratified random sampling, Communications in Statistics - Theory and Methods, 42(5),

p. 782-799.

Kadilar, C., and Cingi, H. (2003). Ratio estimators in stratified random

sampling, Biometrical journal, 45(2), p. 218-225.

Koyuncu, N. and Kadilar, C. (2009). Familiy of estimators of population mean using

two auxiliary variables in stratified random sampling, Communications in Statistics -

Theory and Methods, 38, p. 2398-2417.

Murthy, M. N. (1967). Sampling Theory and Methods, Statistical Publishing Society,

Calcutta, India, p. 228.

Perri, G. D. P. F. (2007). Estimation of finite population mean using multi-auxiliary

information, Metron, 65(1), p. 99-112.

Reddy, V. N. (1978). A comparison between stratified and unstratified random

sampling, Sankhaya, C, 40, p. 99-103.

Sahai, A. and Ray, S. K. (1980). An efficient estimator using auxiliary information.

Metrika, 27(4), p. 271–275.

Singh, S. (2003). Advanced Sampling Theory With Applications: How Michael’

Selected’ Amy Vol. I, Springer Science & Business Media.

Shabbir, J., and Gupta, S. (2006). A new estimator of population mean in stratified

sampling, Communications in Statistics-Theory and Methods, 35(7), p. 1201-1209.

Singh, H. P. and Vishwakarma, G. K. (2007). Modified exponential ratio and product

estimators for finite population mean in double sampling, Australian Journal of

Statistics, 36(3), p. 217-225.

Singh, R., and Kumar, M. (2012). Improved estimators of population mean using two

auxiliary variables in stratified random sampling, Pakistan Journal of Statistics and

Operation Research, 8(1), p. 65-72.

Srivastava, S. K. (1971). A generalized estimator for the mean of a finite population

using multi-auxiliary information, Journal of the American Statistical Association,

(334), p. 404-407.

Srivastava, S. K. and Jhajj, H. S. (1981). A class of estimators of the population mean

in survey sampling using auxiliary information, Biometrika, 68(1), p. 341-343.

Srivastava, S. K. and Jhajj, H. S. (1983). A class of estimators of the population means

using multi-auxiliary information, Calc. Statist. Assoc. Bull., 32, p. 47–56.

Swain, A. K. (1970). A note on the use of multiple auxiliary variables in sample

surveys, Trabajos de estadistica y de investigacion operativa, 21(3), p. 135-141.

Tailor, R., Chouhan, S., Tailor, R., and Garg, N. (2012). A ratio-cum-product estimator

of population mean in stratified random sampling using two auxiliary variables,

Statistica, 72(3), p. 287-297.

Verma, H. K., Sharma, P., and Singh, R. (2015). Some families of estimators using two

auxiliary variables in stratified random sampling, Revista Investigacion Operacional,

(2), p. 140-150.

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Published

2020-08-18

How to Cite

Mishra, M. ., Singh, B. P. ., & Singh, R. . (2020). ESTIMATION OF POPULATION MEAN USING TWO AUXILIARY VARIABLES IN STRATIFIED RANDOM SAMPLING. Journal of Reliability and Statistical Studies, 10(01), 59–68. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/20965

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