Improved separate ratio and product exponential  type estimators in the case of post-stratification

Hilal A.  Lone; Rajesh  Tailor

doi:https://doi.org/10.59170/stattrans-2015-003

Improved separate ratio and product exponential type estimators in the case of post-stratification

Hilal A. Lone chool of Studies in Statistics, Vikram University, Ujjain 456010, M.P, India. , Rajesh Tailor School of Studies in Statistics, Vikram University, Ujjain 456010, M.P, India Statistics in Transition new series, vol. 16, 2015, 1, pages: 53-64 Published online: 2 March 2015 https://doi.org/10.59170/stattrans-2015-003

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ABSTRACT

This paper addressed the problem of estimation of finite population mean in the case of post-stratification. Improved separate ratio and product exponential type estimators in the case of post-stratification are suggested. The biases and mean squared errors of the suggested estimators are obtained up to the first degree of approximation. Theoretical and empirical studies have been done to demonstrate better efficiencies of the suggested estimators than other considered estimators

KEYWORDS

finite population mean, post-stratification, bias, mean squared error

REFERENCES

AGRAWAL, M. C., PANDEY, K. B., (1993). An efficient estimator in post stratification. Metron 51, 179-188.

BAHL, S., TUTEJA, R. K., (1991). Ratio and product type exponential estimators. Infor. & Optimiz. Sci., 12, 159-163.

BANDYOPADHYAY, S., (1980). Improved ratio and product estimators. Sankhya 12, C, 142, 45-49.

CHOUHAN, S., (2012). Improved estimation of parameters using auxiliary information in sample surveys. Ph. D. Thesis, Vikram University, Ujjain, M.P., India.

FULLER, W., (1966). Estimation employing post-strata. J. Amer. Statist. Assoc., 61, 1172-1183.

HANSEN, M. H., HURWITZ, W. N., MADOW, W. G., (1953). Sample survey methods and theory. Vol. I & II, John Wiley & Sons, New York.

HOLT, D., SMITH, T. M. F., (1979). Post-stratification. J. Roy. Statist. Soc., 142, A, 33-46.

IGE, A. F., TRIPATHI, T. P., (1989). Estimation of population mean using post stratification and auxiliary information. Abacus, 18, 2, 265-276.

JATWA, N. K., (2014). Estimation of population parameters in presence of auxiliary information. Ph.D. Thesis, Vikram University, Ujjain, M.P. India.

KISH, L., (1965). Survey Sampling. John Wiley & Sons, New York.

LONE, H. A., TAILOR, R., (2015). Dual to Separate Product Type Exponential Estimator in Sample Surveys. J. Statist. Appl. Prob. Lett. 2, 1, 89-96.

LONE, H. A., TAILOR, R., (2014). Dual to Separate Ratio Type Exponential Estimator in Post-Stratification. J. Statist. Appl. Prob. 3, 3, 425-432.

RAJ, D., (1972). The design of sample surveys. McGraw Hill, New York.

SRIVENKATARAMANA, T., (1980). A dual to ratio estimator in sample surveys. Biometr., J. 67, 1, 199-204.

STEPHAN, F., (1945). The expected value and variance of the reciprocal and other negative powers of a positive Bernoullian variate. Ann. Math. Statist. 16, 50-61.

TAILOR, R., JATWA, S. K., LONE, H. A., (2015). Dual to ratio and product type estimators in case of post-stratification. J. Mod. Appl. Statist. Meth. (in press).http://nhb.gov.in/statistics/area-production-statistics.html (Official website of National Horticulture Board, India)