Almost  unbiased ratio and product type exponential estimators

Rohini  Yadav; Lakshmi N.  Upadhyaya; Housila P. Singh; S.  Chatterjee

doi:https://doi.org/10.59170/stattrans-2012-038

Almost unbiased ratio and product type exponential estimators

Rohini Yadav Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India. , Lakshmi N. Upadhyaya Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India.. , Housila P. Singh School of Studies in Statistics, Vikram University, Ujjain-456 010, India , S. Chatterjee Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India. Statistics in Transition new series, vol. 13, 2012, 3, pages: 537-550 Published online: 3 September 2012 https://doi.org/10.59170/stattrans-2012-038

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ABSTRACT

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

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

REFERENCES

BAHL, S. and TUTEJA, R. K. (1991). Ratio and product type exponential estimator, Information and Optimization Sciences, vol. 12 (1), 159-163.

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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