Some classes of modified ratio type estimators in sample surveys

• Authors: Swain A. K. P. C. , Das Manjula
• Languages of publication: EN

Abstracts

EN

In this paper some classes of modified ratio type estimators with additive and multiplicative adjustments made to the simple mean per unit estimator and classical ratio estimator are suggested to obtain more efficient ratio type estimators compared to the classical one. Their biases and mean square errors are obtained and compared with first order approximations.

Keywords

EN

ratio type estimator; simple random sampling; bias; mean square error; efficiency

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2015
• Volume: 16
• Issue: 1
• Pages: 37–52

Contributors

author

Swain A. K. P. C.

• Former Professor of Statistics, Utkal University, Bhubaneswar-751004, India.

author

Das Manjula

• Department of Mathematics, ITER, SOA University, Bhubaneswar-751030, India.

References

• COCHRAN, W. G., (1953). Sampling Techniques, Wiley, New York.
• PRABHU-AJGAONKAR, S. G., (1993). Non-existence of an optimum estimator in a class of ratio estimators,Statistical Papers, 34, 1, 161−165.
• SINGH, D., CHAUDHARY, F. S., (1986). Theory and Analysis of Sample Survey Designs, New Age International (P)Ltd. Publishers, New Delhi.
• SRIVASTAVA, S. K., (1967). An estimator using auxiliary information in sample surveys, Bull. Cal. Stat Assoc., 16, 121−132.
• SRIVASTAVA, S. K., (1971). Generalized estimator for mean of a finite population using multi auxiliary information. Journ. Amer. Stat. Assoc., 66, 404−407.
• SRIVASTAVA, S. K., (1980). A class of estimator using auxiliary information in sample surveys. Canadian Journal of Statistics, 8, 253−254.
• SUKHATME, P. V., SUKHATME, B. V., ASOK, C., (1984). Sampling theory of surveys with Applications, Asia Publishing House, New Delhi.
• SWAIN, A. K. P. C., (2013). On some modified ratio and product type estimators-Revisited, Investigacion Operacional, Vol. 34, 1, 35−57.
• WALSH, J. E., (1970). Generalization of ratio estimate of population total, Sankhya, A., 32, 141−46.
• WATSON, D. J., (1937). The estimation of leaf areas, Journ. Ag. Sc., 27, 474.