Almost Unbiased Ratio and Product Type Exponential Estimators

• Authors: Yadav Rohini , Upadhyaya Lakshmi N. , Singh Housila P. , Chatterjee S.
• Languages of publication: EN

Abstracts

EN

This paper considers the problem of estimating the population mean Y of the study variate y using information on auxiliary variate x. We have suggested a generalized version of Bahl and Tuteja (1991) estimator and its properties are studied. It is found that asymptotic optimum estimator (AOE) in the proposed generalized version of Bahl and Tuteja (1991) estimator is biased. In some applications, biasedness of an estimator is disadvantageous. So applying the procedure of Singh and Singh (1993) we derived an almost unbiased version of AOE. A numerical illustration is given in the support of the present study.

Keywords

EN

study variable; auxiliary variable; almost unbiased ratio-type and product-type exponential estimators bias; mean squared error

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2012
• Volume: 13
• Issue: 3
• Pages: 537-550

Contributors

author

Yadav Rohini

• Indian School of Mines

author

Upadhyaya Lakshmi N.

• Indian School of Mines

author

Singh Housila P.

• Vikram University

author

Chatterjee S.

• Indian School of Mines

References

• BAHL, S. and TUTEJA, R. K. (1991). Ratio and product type exponential estimator, Information and Optimization Sciences, vol. 12 (1), 159-163.
• MURTHY, M. N. (1964). Product method of estimation. Sankhya, A, 26, 69-74.
• MURTHY, M. N. (1967). Sampling Theory and Methods. Statistical Publishing Society, Calcutta, India.
• SINGH, S. and SINGH, R. (1993). A new method: Almost separation of bias precipitates in sample surveys. Jour. Ind. Stat. Assoc., 31, 99-105.
• STEEL, R. G. D. and TORRIE, J. H. (1960). Principles and Procedures of Statistics, Mc Graw Hill, New York.