RATIO-PRODUCT-DIFFERENCE (RPD) TYPE DOUBLE SAMPLING ESTIMATORS FOR FINITE POPULATION VARIANCE USING AUXILIARY INFORMATION

Authors

  • Peeyush Misra Department of Statistics, Lucknow University, Lucknow - 226007, India
  • R. Karan Singh Department of Statistics, Lucknow University, Lucknow - 226007, India

Keywords:

Auxiliary Variable, Taylor’s Series Expansion, Bias, Mean Square Error (MSE), Efficiency.

Abstract

For estimating finite population variance using information on single auxiliary variable in the form of mean, the Ratio-Product-Difference (RPD) type double sampling estimators d1 and d2 and their generalized estimators as d1g and d2g are proposed. The bias and mean square error (MSE) of the proposed estimators are found. Theoretical comparisons with the traditional estimator are carried out. By this comparison it is shown that the proposed estimators are more efficient than the traditional one.

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References

Cochran, W. C. (1977). Sampling Techniques, 3rd Edition, John Wiley and

Sons, New York.

Isaki, C.T.(1983). Variance estimation using auxiliary information, Journal of

American Statistical Association, 78, p. 117–123.

Singh, R. K., Zaidi, S. M. H. and Rizvi, S. A. H (1995). Estimation of finite

population variance using auxiliary information, Journal of Statistical Studies,

Vol. 15, p. 17-28.

Srivastava, S. K. and Jha, J. J. H. S. (1980). A class of estimators using

auxiliary information for estimating finite population variance, Sankhya, C 42,

p. 87-96.

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Published

2014-06-02

How to Cite

Misra, P. ., & Singh, . R. K. . (2014). RATIO-PRODUCT-DIFFERENCE (RPD) TYPE DOUBLE SAMPLING ESTIMATORS FOR FINITE POPULATION VARIANCE USING AUXILIARY INFORMATION. Journal of Reliability and Statistical Studies, 7(01), 79–91. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/21605

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