Modified Exponential Ratio and Product Estimators for Finite Population Mean in Double Sampling

Authors

  • Housila P. Singh Vikram University, Ujjain, India
  • Gajendra K. Vishwakarma Vikram University, Ujjain, India

DOI:

https://doi.org/10.17713/ajs.v36i3.333

Abstract

This paper presents exponential ratio and product estimators for estimating finite population mean using auxiliary information in double sampling and analyzes their properties. These estimators are compared for their precision with simple mean per unit, usual double sampling ratio and product estimators. An empirical study is also carried out to judge the merits of the suggested estimators.

References

Bahl, S., and Tuteja, R. K. (1991). Ratio and product type exponential estimator. Information and Optimization Sciences, 12, 159-163.

Bandyopadhyay, S. (1980). Improved ratio and product estimators. Sankhya, 42, 45-49.

Bose, C. (1943). Note on the sampling error in the method of double sampling. Sankhya, 6, 330.

Das, A. K. (1988). Contribution to the theory of sampling strategies based on auxiliary information. Unpublished doctoral dissertation.

Dobson, A. J. (1990). An Introduction to Generalized Linear Models. New York: Chapman & Hall.

Gupta, P. C. (1970). On some estimation problem in sampling using auxiliary information. Unpublished doctoral dissertation.

Gupta, P. C. (1978). On some quadratic and higher degree ratio and product estimators. Jour. Ind. Soc. Agril. Stat., 30, 71-80.

Hidiroglou, M. A. (2001). Double sampling. Survey Methodology, 27, 143-154.

Hidiroglou, M. A., and Sarndal, C. E. (1998). Use of auxiliary information for two-phase sampling. Survey Methodology, 24, 11-20.

Murthy, M. N. (1964). Product method of estimation. Sankhya, A, 26, 69-74.

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

Neyman, J. (1938). Contribution to the theory of sampling human population. Journal of the American Statistical Association, 33, 101-116.

Raj, D. (1968). Sampling Theory. New York: Mc-Graw Hill.

Reddy, V. N. (1973). On ratio and product method of estimation. Sankhya, B, 35, 307-317.

Reddy, V. N. (1974). On a transformed ratio method of estimation. Sankhya, C, 36, 59-70.

Robson, D. S. (1957). Application of multivariate polykays to the theory of unbiased ratio-type estimation. Journal of the American Statistical Association, 52, 511-522.

Sahai, A. (1979). An efficient variant of the product and ratio estimators. Statistica Neerlandica, 33, 27-35.

Singh, M. P. (1965). On the estimation of ratio and product of population parameters. Sankhya, B, 27, 321-328.

Srivastava, S. K. (1967). An estimator using auxiliary information. Calcutta Statistical Association. Bulletin, 16, 121-132.

Srivastava, S. K. (1970). A two-phase sampling estimator in sample surveys. Australian Journal of Statistics, 12, 23-27.

Srivastava, S. K. (1971). Generalized estimator for mean of a finite population using multiauxiliary information. Journal of the American Statistical Association, 66, 404-407.

Srivastava, S. K. (1980). A class of estimator using auxiliary information in sample surveys. Canadian Journal of Statistics, 8, 253-254.

Srivastava, S. K. (1981). A generalized two-phase sampling estimator. Jour. Ind. Soc. Agril. Stat., 33, 37-46.

Srivenkataramana, T. (1980). A dual to ratio estimator in sample surveys. Biometrika, 67, 199-204.

Steel, R. G. D., and Torrie, J. H. (1960). Principles and Procedures of Statistics. New York: Mc-Graw Hills.

Sukhatme, B. V. (1962). Some ratio-type estimators in two-phase sampling. Journal of the American Statistical Association, 57, 628-632.

Unnikrishan, N. K., and Kunte, S. (1995). Optimality of analogue of Basu’s estimator under double sampling design. Sankhya, B, 57, 103-111.

Upadhyaya, L. N., and Singh, H. P. (1999). Use of transformed auxiliary variable in estimating the finite population mean. Biometrical Journal, 41, 627-636.

Walsh, J. E. (1970). Generalization of ratio estimates for population total. Sankhya, A, 32, 99-106.

Downloads

Published

2016-04-03

How to Cite

Singh, H. P., & Vishwakarma, G. K. (2016). Modified Exponential Ratio and Product Estimators for Finite Population Mean in Double Sampling. Austrian Journal of Statistics, 36(3), 217–225. https://doi.org/10.17713/ajs.v36i3.333

Issue

Section

Articles